People whose names are embedded in Math Subject Classifcation (1991 version).
This file is in several parts.
1. Short introduction
2. The list of names
3. Insightful or amusing comments about what can be found in the list.
3A. Use of name in unusual fashion
3B. Names figuring prominently in the MSC
3C. Famous names not in the MSC
3D. Shared last names on the list
3E. Similar but distinct last names on the list
3F. General comments on the use of people's names within the MSC
3G. Living people on the list
4. Biographical data to clarify the persons to whom the names refer.
4A. Distinguishing MSC people from non-MSC people with the same name
4B. Information available from St Andrews
4C. Other biographical resources consulted (or not!)
4D. Specific biographical pointers on non-St.Andrews names.
4E. Appeal for help.
5. Chronological listing of all people mentioned.
[Written in 1998, this list has been reviewed periodically, last on 2005-02-04]
[A section 6 at the end contains a hodge-podge of data I have collected
since the first writing, usually from people who have written to help.]
==============================================================================
1. Short introduction
This file,
http://www.math.niu.edu/~rusin/known-math/98/MSC.names
discusses the set of people whose names are used in the Mathematics
Subject Classification scheme (1991 version), which is widely used to
classify newly-appearing mathematical literature.
This project was begun on a lark, the preliminary results then reported to
the USENET newsgroup sci.math:
>From: rusin@vesuvius.math.niu.edu (Dave Rusin)
>Subject: You know you've made it in mathematics when...
>Date: 15 Feb 1998 04:14:32 GMT
>
>Musings on a quiet Saturday afternoon:
>
>One sign of a mathematician's success is to have his or her name
>identified with an object of study, or indeed a whole area of study.
>I looked to see who is mentioned by name in the Mathematics Subject
>Classification scheme. (I had the 1980 scheme at home.) There were many
>more names than I would have expected, and more than I could identify!
The project took on a life of its own as I attempted to identify the
parties involved (and bring the list up to date by using the 1991 MSC).
The current source for the list of names is the MSC text itself, obtained from
http://www.zblmath.fiz-karlsruhe.de/class/msc.html
I simply inserted a linefeed before each capital letter, sorted, and
hand-edited. Editing was limited to these steps:
Names translated back to personal format (from e.g. "Nonabelian", "Pappian",
"Diophantine", or "Cartesian", or even "algorithm" or "America" !)
A few Russian Cyrillic names "corrected" from MSC (e.g. Kreuin -> Krein)
Also changed Blashke to Blaschke.
Deleted some capitalized words which _as far as I can determine_ are not
personal names (e.g. Bibasic)
Removed duplicate references to single individuals (watching out for duplicate
appearances of a name which refer to distinct individuals).
Naturally I had to tweak the list a bit (e.g. Mac Lane has to be one
person, as does van Kampen, de Vries, etc.; Birch-Swinnerton-Dyer has
to be two, and de Rham must be under "d").
The result is the set of names shown below in section 2. For your
sorting pleasure, it is just a one-name=one-word=one-line ASCII text
file. This means that last names shared by distinct individuals are
simply repeated! _As far as I can determine_, this applies to just 5
last names, so that there are 357 people represented in the MSC.
[I have recently included, for some names, the MSC codes containing them.]
In section 3 I have sorted some of the observations about this list
made by myself and others in newsgroup postings and in email. This
material is fairly subjective.
In section 4 I try to give some identifying information regarding the people
mentioned and the (expected) reason they are included in the MSC. In
many cases, this is simply a reference to the History of Mathematics
Biography Archive at St Andrews University:
http://www-groups.dcs.st-andrews.ac.uk/~history/
For persons not included there I have assembled some information drawn
from sources easily available; as I receive corrections and updates (HINT HINT)
I will adjust this file. For many of the family names in the MSC list I have
mentioned some other individuals with the same last name, just to clarify
who is who. (Here too it is clear the comments could become much longer.)
If you want to find out how individuals' names are used in the MSC,
try this word-lookup server for the MSC:
http://www.ams.org/mathweb/mi-msc_keyword.html
or this hypertext form of the MSC:
http://www.ams.org/mathweb/mi-classification.html
Please note that the newest version of the MSC has been announced (1998)
for use starting in 2000; this biography project has not been updated to
reflect this version.
For some general pointers giving further information regarding the history
of mathematics, as well as biographies of these and other
mathematicians, visit section 01 (History and Biography) of
http://www.math.niu.edu/~rusin/known-math/welcome.html
Should adjustments make this file too lengthy, it may have to be split up
or moved around in my file system, but the preceding URL will always
have links to this file or its parts.
Please observe that I have no formal training as a historian. As a
mathematician I'm inclined to commit the usual transgressions (e.g.
relying on secondary sources -- especially Math Reviews, whose entry
numbers accompany the papers cited below. These are included so that
interested readers can use MR's "find same author" feature.)
Many people suggested leads and corrections while I formed this list.
I'd like to thank in particular B.H.Neumann, Jeffrey Joel, Vitali Milman.
Alexandre Kirillov, Jon Alperin, D.N. Verma, Lester Helms, and Eric Behr.
I hope to receive more information to complete this file, in particular for the
roughly 6 names for which I don't even have accurate dates.
Dave Rusin
rusin@math.niu.edu
Last updated: 1999/05/28
[Additional thanks to those who sent in corrections and more information
later, especially J.R. Partington.]
==============================================================================
2. The list of 357 names in alphabetical order
Abel
Adams
Airy
Aleksandrov
al'Khwarizmi
Ampere
Anosov 58F15
Appell 33C65
Arakelov 14G40
Archimedes
Aronszajn
Artin
Auslander
Azumaya
Backlund
Baire
Baker
Banach
Barbilian
Bayes
Bell
Bergman
Bernoulli
Bernstein
Bers
Bessel
Bethe
Birch
Blaschke
Bloch
Bockstein 55U20
Boltzmann
Boole
Borel
Bott
Brauer
Brewer
Brillouin 34E20 78A45 81Q20 81U05
Brown
Buchsbaum
Burgers 35Q53
Burnside
Busemann
Calderon
Cantor
Caratheodory
Cartan
Cauchy
Cech
Cesaro
Charles
Chebyshev
Chern
Choquet
Chow
Clifford
Cohen five
Coxeter
Cremona
Daniell
Darboux
Dedekind
Dehn
deMorgan
Denjoy
deRham
deVries 35Q53
Desargues
Descartes
Diophantus
Dirac
Dirichlet
Ditkin
Drinfeld
Dyer
Eckmann
Eilenberg
Einstein
Engel
Enriques
Epstein
Erdos
Euclid
Euler
Fano
Farey
Fatou
Fermat
Feynman
Fibonacci
Finsler
Fitting
Fokker 82C31
Fourier
Franz
Frattini
Frechet
Fredholm
Fresnel
Frobenius
Fuchs
Fuks 57R32 58H10
Gale
Galerkin
Galois
Galton
Gateaux [Gâteaux] 49J50, 58C20
Gauss
Gegenbauer
Gelfand
Gelfond
Gersten 19D25
Godel
Goldbach
Goldie
Gordon
Gorenstein
Grassmann
Green
Grobner
Gromov
Grothendieck
Haar
Hadamard
Hahn
Hamilton
Hammerstein 47H30
Hankel
Hardy
Hartogs
Hausdorff
Hecke
Helly
Helmholtz
Helson
Hensel
Hermite
Heyting
Higman
Hilbert
Hill
Hilton
Hjelmslev
Hochschild
Hodge
Holder
Hopf
Hopf
Horn 33C65
Hurwitz
Ising
Iwasawa
Jackson
Jacobi
Jacobson
Jacobsthal
James 62J07
Jordan
Kac
Kahler
Kaluza
Kan 18A40
Karoubi 19D25
Kasparov 19K35
Kirillov 16P90
Klein
Kleisli
Kloosterman
Kolmogorov
Korteweg
Kothe 46A45 46E30
Kovalevskaya
Kramers 34E20 78A45 81Q20 81U05
Krasner
Krein
Kronecker
Krull
Kunneth
Kutta 65L06
Lagrange
Laguerre
Lame
Langevin
Langlands
Laplace
Lashof
Laurent
Lauricella 33C65
Lebesgue
Lefschetz
Legendre
Lerch
Lidstone
Lie
Lindelof
Liouville
Lipschitz
Littlewood
Ljusternik
Lorentz 22E43 46E30 53B30 53C50 [hm - 46E30 same person as others?]
Lucas
Lukasiewicz
Lyapunov
Macaulay
Machlup
Mackey
MacLane
Maclaurin
Maeda 51D05
Malcev
Malliavin
Markov
Martin
Martin 31C35
Maslov 81Q20
Massey
Mathieu
Maxwell
Mikusinski
Mills
Milman
Milnor
Minkowski
Mobius
Monge
Montel
Moody
Moore
Moore
Morita
Morse
Nash
Navier
Nemytskii 47H30
Neumann
Neumann
Neumann
Nevanlinna
Newton
Nikodym
Nikolskii
Noether
Norlund
Onsager
Ore
Orlicz 46E30
Pade
Paley
Pappus
Pareto
Peirce 17C27
Perron
Petersson
Pfaff
Picard
Planck
Poincare
Poisson
Popov 34D25 93D10
Post
Postnikov
Potts
Prufer
Pythagoras
Radon
Ramsey
Raphson
Rayleigh
Rees
Regge 83C27
Reidemeister
Reinhardt
Reiten 16G70
Riemann
Riesz
Ritz
Roch
Rossby
Runge 32E30 65L06
Saint-Venant
Saks
Salpeter
Samuel
Sasaki 53C25
Schatten 47B10
Schnirelman
Schoenflies
Schottky
Schrodinger
Schubert
Schunck 20D10
Schur
Schwartz
Schwarz
Selberg
Serre
Shannon
Shimura
Sidon
Siegel
Sitnikov
Smale
Smith
Sobolev
Spanier
Spencer
Steenrod
Stefan
Stein
Stein
Steinberg
Steiner
Stieltjes
Stirling
Stokes
Stone
Sturm
Suslin
Swinnerton-Dyer
Sylow
Sylvester
Tate
Tauber
Taylor
Teichmuller
Thue
Toeplitz
Torelli
Turan
Turing
Ulm
Uryson
vanKampen 20F06
Vekua
Verma 22E47
Veronese
Vespucci :-)
Villamayor 19D25
Virasoro 17B68 81R10
Volterra
vonNeumann
Wall
Walsh
Waring
Watson
Weierstrass
Weil
Weinstein
Wentzel 34E20 78A45 81Q20 81U05
Weyl
Whitehead
Wiener
Wigner
Witt
Yang
Zorn
Zygmund
==============================================================================
3. Insightful or amusing comments about what can be found in the list.
3A. Use of name in unusual fashion
3B. Names figuring prominently in the MSC
3C. Famous names not in the MSC
3D. Shared last names on the list
3E. Similar but distinct last names on the list
3F. General comments on the use of people's names within the MSC
3G. Living people on the list
3A. Use of name in unusual fashion:
Abel is bestowed the unique honor of having his name used without
capitalization. (Other authors, particularly those writing in French,
extend this treatment to other mathematicians' names.)
Abel is treated in another unique way: his name is combined as the root in
the word "metabelian". Regarding possibly similar examples, Lee Rudolph writes:
> See also 46C05 ("pre-Hilbert"),
> 47A53 ("(Semi-) Fredholm"), and 60K15 and 90C40 ("semi-Markov").
> Not quite the same, what with all the hyphens, I admit.
Likewise quasi-Frobenius (16L60), quasi-Banach (46A16) co-Saks (46A70)
Archimedes is referred to only in the negative! (Non-Archimedean XXX).
A few others are known in both positive and negative form (Newton, Euclid,
Abel, Desargues, Markov).
There are few whose names are thoroughly-enough embedded in the language that
they are subject to inflection, e.g. Abelian, Boolean, Pappian, Diophantine,
Cartesian, Euclidean, and the extreme cases of algorithm and America.
(I've even included Prince Charles III of Monaco, who named the Monte Carlo
region of Monaco -- apparently after himself.)
A few mathematicians are known through abbreviations. For example KdV
[=Korteveg-deVries] is used in the MSC (35Q53) but it is also spelled out
there; similarly NLS-like (nonlinear Schrodinger).
On the other hand, the WKB method (34E20, 78A45, 81Q20, and indirectly
81U05) refers to Wentzel, Kramers, and Brillouin 1926 [source: EDM].
There are some abbreviations which may represent people, for all I know:
what's a BCK- or BCI-algebra (06F35), for example? Do PV-numbers refer,
perhaps, to Pisot? BN pairs? CR-manifolds? [See attachments -- djr 2005]
Indeed, we can go further: in 57M40 and 57N we find a reference to "E^3", which
is Euclidean space (the "S" in "S^3" stands for "sphere"). This raises many
possibilities for other names (e.g., didn't Banach himself refer to
"B-spaces" before they became known as Banach spaces?) What's the
"L" in "L^p-spaces" or "H" in "H^p" (46B20) or "K" in "K-theory", "K_0", etc.?
The "C" in C^* algebras? The "F" in hypergeometric functions (and E, G, H
there, too)? LB, LF, DF, B-completeness (46A)? The separation axioms T_0 etc.
(54D)? "q" in "q-calculus" (05A)? Maybe even the $lambda$ in $lambda$-calculus?
$zeta$ and L-function? T-ideals? J-morphism? S-matrix?
And does H-with-an-inverted-circumflex-accent appear
in any presentations of cohomology? -- that would be Cech's accent!
I don't believe any uses of a name refer to more than one person
simultaneously, although it is possible that "Riesz" refers to both brothers
at once. (I assume "Maeda geometries" refers to Fumitomo but he had at least
one joint work with his son.)
Among those whose names are included in a non-obvious way are
al'Khwarizmi ("algorithm"), Amerigo Vespucci ("Americas"), and
Charles III Prince of Monaco ("Monte Carlo").
"Fibonacci" is of course really just the nickname of Leonard of Pisa
(Leonardo Pisano)
I'm assuming words like Creep, Radical, Peculiar, etc. are not
references to anyone in particular :-). [Note that Moody is a person, though!]
I am assured Ridge is not a person. There are some 2673 distinct words
in the MSC. This includes 350 distinct last names, a moderate number of
duplicates (e.g. singular/plural) and a moderate number of non-technical
words; I estimate well over a thousand fairly technical terms.
Some of the people in the list are not primarily mathematicians. Whether or
not one considers the statisticians and computer scientists to be
mathematicians, there are plenty of physicists who are surely in a
separate category. I have also encountered a chemist (Onsager), a
meteorologist (Rossby), and a geologist (Farey), as well as a rabbit-farmer
(Fibonacci), map-maker (Vespucci), prince (Charles III Grimaldi), and
of course the ancients whose line of work is difficult to classify.
A number of the people whose names are on the list may well be/have been
professional mathematicians but their contributions to the literature are
meager; "pauca sed matura" is it? Among those with very slim publication
records (and, usually, little biographical data):
Arakelov, Farey, Gateaux, James, R. Martin, Schunck, deVries
3B. Names figuring prominently in the MSC:
Lie and Fourier are the two people mentioned by name in the top-level
(2-digit) classifications: Lie Groups - 22, and Fourier Analysis - 42.
At the next level (3-digit headings) we have also
Boole, Diophantus, Artin, Jordan, Abel, Riemann, Banach, Hilbert,
von Neumann, Caratheordory, Hamilton, Jacobi, Markov, Lagrange,
the K-theorists Grothendieck, Whitehead, Steinberg, and
the geometers Hjelmslev, Barbilian.
(Some familiarity with the MSC suggests I treat the last 5 differently.)
The most heavily-used names include Galois and Riemann (no surprise there)
as well as Hermite (much more than I would have guessed). Of course, there
are a lot of references to Herr Dr. Eigen, too...
Those whose names appear more than 10 times are these eleven:
Lie [54]
Fourier [35]
Banach [27]
Riemann [24]
Hilbert [22]
Abel [23]
Markov [20]
Galois [13]
Hermite [13]
Boole [11]
Euclid [11]
If I have counted correctly, there is 1 name which appears 9 times; 1 eights,
8 sevens, 3 sixes, 12 fives, 14 fours, 27 threes, 57 twos, and 222
names which occur once each. (Well, 35Q30 lists Stokes twice; that's only
one citation really, right? Likewise 62C10 for Bayes, 35Q53 Gordon,
11F20 Dedekind, 54E52 Baire, 14D05 Picard, 14C30 Hodge, 04A15 Suslin,
16G70 Auslander AND Reiten, 16U20 Ore, 46A70 Saks, 32E10 Stein, 20D20 Sylow).
For this count, Burnside isn't "really" mentioned in 20Cxx, nor Maclaurin in
40A25, nor any of WKB in 81U05. I'm not counting the appearances of names in
a 2- or 3-digit classification.
Even better than being attached to "XXX spaces" or "of XXX type" is to play
the title role in "XXX theory". Those so honored in the MSC are
Arakelov deRham Cartan Galois Hodge
Iwasawa Kasparov Littlewood-Paley Morse
Nevanlinna Ramsey Riemann Shannon Smith
Sturm-Liouville Teichmuller Turan Weyl
3C. Famous names not in the MSC:
Define "famous"! Still, a few reasonable names are indeed missing:
Of the 42 Fields medalists so far honored, only these 8 are on this list:
Baker, Grothendieck, Drinfeld, Milnor, Schwartz, Selberg, Serre, Smale
I suppose it's only a matter of time until we have "Atiyah theory", say.
For comparison, there are at least 12 Nobel prize-winners on the list:
Physics: Lorentz, Rayleigh, Planck, Einstein, Schroedinger, Dirac, Yang,
Wigner, Feynman, Bethe
Chemistry: Onsager
Economics: Nash
There are several other Nobel prize-winners who are not on the list but
could arguably be noted for the mathematical contributions. For example,
one might expect
Physics: Heisenberg, Pauli, Bohr, Landau
Economics: Arrow
Literature: Echegary
(There are also some clashes of names: The Segre of physics is not the
mathematician Benianamo; the Landau above is not the number theorist Edmund;
Niels Bohr won the Nobel in physics and his brother Harald was a mathematician)
For biographies of Nobel-winners, see e.g.
http://www.nobel.se/laureates/physics-1957-1-bio.html
for Yang.
A number of names which were in the 1980 MSC have been removed from the 1991
MSC; fame is so fleeting! Kummer was dropped in 1985 and Burkill, Gabriel,
Peano, Poinsot, Silva, Tricomi, Tsien in 1991.
(I have not looked systematically for names which have appeared in previous
versions of the MSC.)
I was sorry not to see "student" listed among the Statistics topics :-(
I haven't looked very carefully to see if the list reflects any particular
bias, systematically under-representing any groups. As far as I can see
the only women on the list are Sofia Kovalevskaya, Hanna Neumann, Emma Noether,
and Idun Reiten, but many of the 357 are individuals with whom I am not
familiar.
Leibniz, Pascal, Vieta, and Takagi have their own biographies in the
EDM, an elite set of 34 such people; also Cayley, Plateau, and Racah have
their names used in the comparatively small set of 450 subject headings
in the EDM's classification system. None of these, however, is in the MSC.
Other absences from the list considered "surprising" by some correspondents:
Leibniz, Brouwer, Kaplansky, Mersenne, Courant, Tarski, Ricci,
Plato (e.g. Platonic solids. With Archimedean solids, Archimedes
could make it to the list in the positive!)
In the list of living mathematicians, below, it would have been a treat to
list Leopold Vietoris ("Mayer-Vietoris sequence") who was born 1891/06/04
and passed away 2002/04/09, a little before his 111th birthday; at the
time of his death he was the oldest person in his country (Austria).
3D. Shared last names on the list
Some family names represent more than one person. As far as I can tell, this
occurs only for five names: Stein, Neumann, Moore, Martin, and Hopf.
(Possibly the Whiteheads refer both to JHC and George? I don't know. See
section 4A for possible other cases of mis-identity.)
There surely are two Steins (and many **steins!):
* 32E10 Stein spaces, Stein manifolds
* 62J07 Ridge regression; James-Stein estimators
The "statistics" Stein is a reference to the author of:
MR 24 #A3025 James, W.; Stein, Charles Estimation with quadratic
loss. 1961 Proc. 4th Berkeley Sympos. Math. Statist. and Prob., Vol. I
pp. 361--379 Univ. California Press, Berkeley, Calif. (Reviewer: J.
Kiefer) 62.30
while the complex analysis Stein is presumably Karl Stein.
How many Neumann's are there? We have von Neumann (mentioned in 16E50,
46L, 47B10, 47C15), and these others:
* 20E06 Free products, free products with amalgamation,
Higman-Neumann-Neumann extensions, and generalizations
* 32F20 \overline\partial- and \overline\partial_b-Neumann problems; also
* 35N15 \overline\partial-Neumann problem and generalizations; formal complexes
There are several group theorist Neumanns, but HNN extensions refer to
Higman, Graham; Neumann, B. H.; Neumann, Hanna
Embedding theorems for groups. J. London Math. Soc. 24, (1949).
247--254. 20.0X MR11,322d
(These Neumanns were married to each other, and Peter Neumann, another
group-theorist, is their son.)
I would like to add that Bernhard Neumann was late in life an avid
mathematical biographer and frequently assisted me with this project
by checking names against his records. His help was invaluable and
will be sorely missed.
I have been assured that the analysis Neumann is Carl Gottfried Neumann
(1832-1925), although other analyst Neumanns have included Franz Ernst (d.~1895)
The Moore of
* 55T20 Eilenberg-Moore spectral sequences, See also {57T35}
* 57T35 Applications of Eilenberg-Moore spectral sequences, See also
{55R20, 55T20}
is John C. Moore. However, the Moore of
* 54E30 Moore spaces
is R.L.(Robert Lee) Moore, 1882-1974. (This is not contemporary functional-
analyst Robert L Moore). Eliakim Hastings Moore was the prominent one in the
early US mathematics community -- and one of the teachers of R.L.Moore!
I believe the "Moore method" of teaching math refers to R.L.Moore.
There are 159 Moores in the Math Reviews database.
There are also two Martins
03E50 Continuum hypothesis and Martin's axiom, See also 04A30,54A25
31C35 Martin boundary theory, See also 60J50
The former is, I believe, UCLA logician Donald Anthony Martin.
The latter is Martin, Robert S. Fascinatingly, I found a recent paper
which enjoys _both_ these classifcations!
97c:31016 31C35 03E50 03E75 31D05 46N99 46S20 60J50
Bliedtner, Jürgen(D-FRNK); Loeb, Peter A.(1-IL)
Generalized radial limits associated with representing measures.
(English) Interaction between functional analysis, harmonic
analysis, and probability (Columbia, MO, 1994), 85--96,
Lecture Notes in Pure and Appl. Math., 175,
Dekker, New York, 1996.
Heinz Hopf is the algebraist/topologist ("Hopf Invariant", etc.); he has
a biography in the MacTutor archive.
* 16S40 Smash products of general Hopf actions
* 16W30 Coalgebras, bialgebras, Hopf algebras
* 55Q25 Hopf invariants
* 57T05 Hopf algebras
I believe the analyst is Eberhard Hopf in these mentions:
* 45E10 Integral equations of the convolution type
(Abel, Picard, Toeplitz and Wiener-Hopf type)
* 47A68 Factorization theory (including Wiener-Hopf and spectral
factorizations)
* 47B35 Toeplitz operators, Hankel operators, Wiener-Hopf operators
[See also 45P05, 47G10 for other integral operators;
see also 32H10, 32M15]
There were two Riesz brothers, M. and F. (with a joint paper!); I'm not sure
to which brother(s?) these MSC names refer:
* 06F20 Ordered abelian groups, Riesz groups, ordered linear spaces,
See also {46A40}
* 42A55 Lacunary series of trigonometric and other functions; Riesz
products
* 47B06 Riesz operators; eigenvalue distributions; approximation
numbers, $s$-numbers, Kolmogorov numbers, entropy numbers, etc. of
operators
I'm _guessing_ that other occurrences of identical names represent the
same person, active in several areas, but in some cases I'm not so
sure. (There _seem to be_ no references to Noether's father, for example.)
To be positive it would be necessary to go through the list of all names
mentioned more than once in the MSC. I have this list, should someone
be inclined to check for me.
3E. Similar but distinct last names on the list:
Some near misses: Fuks/Fuchs, Schwarz/Schwartz, vonNeumann/Neumann, Weil/Weyl,
Gelfand/Gelfond, Dyer/Swinnerton-Dyer, Ruggiero_Torelli/Tullio_Regge, etc.
There is probably no need to mention much about this except that
much effort was spent distinguishing Gelfand from Gelfond!
Several people have patiently explained to me that Gelfand and Gelfond are
distinct. The MSC lists
* 11J85 Algebraic independence; Gelfond's method
* 16P90 Growth rate, Gelfand-Kirillov dimension
* 57R32 Classifying spaces for foliations; Gelfand-Fuks cohomology,
* 58H10 Cohomology of classifying spaces for pseudogroup structures
(Spencer, Gelfand-Fuks, etc.)
I did a search in MathReviews for (Gelfand or Gelfond) and found 700 hits.
Among the names I found:
461 hits: Gel\cprime fand, Israel Moiseevich.: works in area 58, many others
83 hits: Gel\cprime fond, Alexander O.: mostly number theory (1947-1986)
66 hits: Gelfand, Sergei I.: work in 14, 18, 94, also 05, 22, ...
38 hits: Gelfand, Alan.E.: Statistics
24 hits: Gelfond, Michae: Computer science, logic
3 hits: Gel\cprime fond, O.A.: work in 52, 32, 13
(The A.O. must be Alexandr Osipovich Gelfond, 1906-1968)
Gelfand, S and Gelfand, I.M. are coauthors; I am told the former is son of
the latter.
It would appear that "Gelfond's method" refers to A.O.Gelfond, "Gelfand-Fuks"
and "Gelfand-Kirillov" refer to I.M.Gelfand.
Of course, _none_ of these spellings is "right" when they refer to someone
whose mother tongue is written in Cyrillic.
3F. General comments on the use of people's names within the MSC.
The fields of algebra and topology seem more inclined to use people's names
to identify a field; analysis and applications less so. Indeed, in the
applications to physics (areas 70-86) almost all the names mentioned are
from fairly far back in mathematical history. There are quite a few more
names in the reorganized number theory (section 11) than in its older
presentation (section 10). Generally, newer areas tend to name-drop more
frequently.
3G. Living people on the list
Here are the names of 78 people on the list who, to the best of my
knowledge, are all still with us; as far as I can determine, they are
the only ones. (Let me apologize in advance for any omissions!)
Note that the MSC version I worked with is nearly a decade old; still living
in 1990 when the list was promulgated were 20 [in approximate order of death]:
Sobolev, DeRham, Orlicz, Witt, Zygmund, Gorenstein, Zorn, Busemann, Bers,
Auslander, Wigner, Chow, Morita, Franz, Erdos, Weil, Eilenberg, Calderon, and
Ising and Villamayor, (who both died while this file was being created!)
[NB: since the most recent major review of this file, several of these men
have passed away; these entries are starred below:
Iwasawa (1998 -- http://www.ams.org/notices/199910/mem-iwasawa.pdf )
R. Mills (1999 -- http://www.physicstoday.org/pt/vol-56/iss-10/p14.html )
Jacobson (1999 -- see Notices AMS Oct. 2000)
Erich Kahler (2000 -- see Mitt. Math Ges. Hamburg 19, 2000).
Shannon (2001 -- http://www.bell-labs.com/news/2001/february/26/1.html )
Spencer (2002 -- http://www.dailyprincetonian.com/archives/2002/01/14/ )
B. Neumann (2002 -- obituary in NZMS Newsletter No.87 )
L. Schwartz (2002 -- see the MacTutor article)
Coxeter (2003 -- see the MacTutor article)
Postnikov (2004 --http://www.lehigh.edu/~dmd1/yr719.txt )
Chern (2004 -- http://www.timesonline.co.uk/article/0,,60-1396545,00.html )
Bethe (2005)
Mac Lane (2005)
In addition I have been informed by a relative that Bockstein had passed
away in 1990. Thus only 65 of the people on the list are still alive.
I would appreciate hearing of any additional changes.]
Names sorted by year of birth (some are guesses)
05 Nikolskii, Sergei Mickhailovich (b. 1905)
06* Bethe, Hans (Cornell Nobel-prizewinning physicist) (b. 1906) P7b, N20
06* Kahler, Erich (b. 1906) [I believe he still lives in Hamburg]
07* Coxeter, H.S.M. (b. 1907) Geometer and group theorist
09* Mac Lane, Saunders, Chicago algebraist (b. 1909)
09* Neumann, B.: Canberra group theorist (b. 1909)
10* Jacobson, Nathan, Yale ring theorist (b. 1910)
10 Ditkin, Vitalii A. (b. 1910) [I believe he is still living in Moscow]
11* Chern, Shiing-Shen: differential geometer, Berkeley (b. 1911)
12 Sasaki, Shigeo (b. 1912) geometer
12* Spencer, Donald Clayton (b. 1912) WWS AMWS)
13* Bockstein, Meyer (Cyrillic: roughly Meer Feliksovich Bokshtein)
13 Gelfand, Israel M. (b. 1913) SMS Moscow global analyst (now at Rutgers)
13 Stein, Karl (b. 1913) JDMV93(1991)1-5
15 Choquet, Gustave (b. 1915) analyst, Paris VI
15 Hochschild, Gerhard P (b. 1915)(FER), now at Berkeley
15* Schwartz, Laurent (b.1915)(FER)
16 Mackey, George (b. 1916): representation theory, Harvard AMWS, WWS
16* Shannon, Claude: Bell Labs information theorist (1916)
17 Eckmann, Beno (b. 1918) homological algebra, Zurich
17 Higman, Graham (b. 1917) group theory, Oxford WWS
17* Iwasawa, Kenkichi (b. 1917) AMWS Princeton algebraic number theorist
17 Selberg, Atle (b.1917) WWS, AMWS; number theorist, Fields medal, IAS
18 Rees, David (b. 1918) ring theorist (in UK)
20 Azumaya, Goro (b. 1920) AMWS
20 Goldie, Alfred W (b. 1920) Leeds ring theorist
20 Massey, William (b. 1920) Yale algebraic topologist WWS
20 Stein, Charles M. (b. 1920) Stanford statistician
21 Gale, David (b. 1921): Berkeley geometer-cum-optimizer-cum-popularizer WWS
21 Samuel, Pierre (b. 1921) Orsay: algebraic geometry WWS
22 Lashof, Richard Kenneth (b. 1922); Chicago algebraic topologist WWS
22* Mills, Robert Leroy (b. 1922) WWS Physicist at Ohio State
22 Steinberg, Robert, UCLA group theorist (b. 1922)
22 Yang, Chen Ning ("Frank") (b. 1922) Nobel prize-winning physicist N20
23 Bott, Raoul (now at Harvard) (b. 1923) N20
23 Hilton, Peter (b. 1923) Homological algbebra, SUNY Binghamton, AMWS, WWS
23 Moore, John Coleman (b.1923) Rochester, algebraic topology AMWS, WWS
24 Salpeter, Edwin Ernst (b. 1924) WWS, AMWS, Cornell physicist
25 Malliavin, Paul (b. 1924) Paris VI, probability etc.
25 Potts, Renfrey B. (b. 1925) mathematical physicist, Adelaide
25 Tate, John (b.1925) number theorist (Harvard/ Austin TX)
26 Serre, Jean-Pierre (b.1926) Mathematician(!), Fields medalist N20
26 Sitnikov, Kirill Aleksandrovich (b. 1926)
27 Helson, Henry (b. 1927): harmonic analysis, Berkeley AMWS
27 Machlup, Stefan (b.1927) Swarthmore physicist AMSci
27* Postnikov, Mikhail M (b. 1927) Moscow WWS
27 Swinnerton-Dyer, Peter (b. 1927) alg. geometer at Cambridge/Newton Inst.
28 Grothendieck, Alexander, retired Fields medalist (b. 1928)
28 Nash, John N. Princeton-area Nobel prizewinner, optimization (b. 1928)
28 Popov, Vasile-Mihai (b. 1928/07/07) stability in DE/control: now in Florida
29 Buchsbaum, David (b. 1929) AMWS ring theorist at Brandeis
29 Dyer, Eldon, (b. 1929) algebraic topologist at CUNY -- AMWS, WWS
30 Kleisli, Heinrich (b. 1930) category theorist, Fribourg Switz
30 Maslov, Victor P (b. 1930) Moscow quantum-theorist
30 Shimura, Goro (b. 1930) Princeton number theorist
30 Smale, Stephen (b.1930) Fields Medal, Berkeley N20
30? Kan, Daniel M. (b. ~1930?) (MIT) topologist
31 Birch, Bryan J: Oxford number theorist/alg. geometer (b. 1931) WWBS
31 Milnor, John (b. 1931) SUNY Stony Brook; topology AMWS
31 Regge, Tullio: mathematical physicist, Torino, Italy (b. 1931) WWS
32? Verma, Daya-Nand (b. ~1932?) Tata Institute, ring theory
36 Anosov, Dmitirii. (b. 1936) dynamics
36 Kirillov, Alexandre (b.1936) ring theory etc
36 Langlands, Robert (b. 1936) Princeton Inst for Adv Study; Lie groups AMWS
36 Wall, Charles Terence Clegg (b. 1936) Liverpool topologist WWBS
38 Karoubi, Max (b. 1938) Paris VII, K-theory
39 Baker, Alan: Cambridge number theorist and Fields medalist (b. 1939) N20
39 Fuks, D.B. (b. 1939) algebraist/geometer now at U.C.Davis
40 Gersten, Steve (b 1940) AMWS group theory/K-theory, now at Utah
40 Martin, Donald A. (b. 1940) UCLA logician
40 Virasoro, Miguel Angel (b. 1940) quantum theorist, Trieste
41 Moody, Robert V. (b.1941) Alberta, ring theory/group theory
42 Reiten, Idun (b. 1942) Norwegian ring theorist
43 Kac, Victor (b. 1942) (MIT) ring theory etc.
43 Gromov, Mikhael (b. 1943)(FER) Now at IHES
47 Arakelov, Suren Ju. Algebraic geometer
48 Kasparov, Gennadi G K-theorist at Institut de Mathématiques de Luminy
54 Drinfeld, Vladimir Fields medalist 1990, Ukraine (now at Chicago)
==============================================================================
4. Biographical data to clarify the persons to whom the names refer.
4A. Distinguishing MSC people from non-MSC people with the same name
4B. Information available from St Andrews
4C. Other biographical resources consulted (or not!)
4D. Specific biographical pointers for the non-St.Andrews names
4E. Appeal for help.
4A. Distinguishing MSC people from non-MSC people with the same name
[ Note that this information reflects my greater familiarity with
algebra and geometry than with analysis and applications -- djr.]
In the "Not that one!" category I might mention:
Adams is topologist John Frank Adams, not astronomer John Couch Adams
Baker is Fields medalist number theorist Alan Baker, not algebraic
geometer Henry F Baker
The Bernoulli of Bernoulli numbers is Nicolaus(I) (1687-1759) I think.
I'm _assuming_ Bernstein (sect. 41A) is not the Felix Bernstein of the
set theory Schroeder-Bernstein theorem; S.N. Bernstein seems
a closer fit.
Bloch is Andre Bloch, not Spencer Bloch (U of Chicago).
Boole is father George, not daughter Alicia
Brillouin is Leon Nicholas, the son of the Brillouin with a bio at
St Andrews (and in Poggendorf, etc.)
Robert Brown (Brownian motion) is not Ken Brown (Cornell) nor the
Brown-Peterson cohomology creator.
Busemann should be Herbert B, the differential geometer, not Adolf, in
fluid dynamics/optimal control
Cantor is Georg (the set theorist) not Moritz (the historian)
Cartan is Elie (pere) not Henri (fils).
Wei-Liang Chow is the algebraic geometer, but there is a well-known
Hung-Ching Chow (1902-1957, summability)
Cohen is the one with Macaulay in ring theory, not the Field's medalist
logician Paul nor the computational number theorist Henri.
I believe the reference is to I.S.Cohen, a student of Zariski.
Cremona is the one from the last century, not the one now at Nottingham
deVries is not the Jan deVries (1858-1940) in Poggendorf [MR2,115];
he might be part of the large scientific family of Hugo deV.
Our deVries moved on to school-teaching after the KdV paper.
I believe Ditkin is the operational-calculus V.A.Ditkin -- surely not
the numerical analysis V.V.Ditkin (are there any others?)
The Fokker is the one of Fokker-Planck stochastic methods in
statistical mechanics: Fokker, Adriaan Daniel (1887-1972),
not Dutch aircraft pioneer Anthony Herman Gerard Fokker (1890-)
Gordon is of course not the same as Gordan (of Clebsch-Gordan
coefficients fame).
Hamilton is the more famous Sir William Rowan, not William Hamilton.
Hardy is of course number theorist GH Hardy, not Claude
There are two contemporary Higmans in group theory, but HNN extensions
are the work of Graham Higman, not D.G.Higman
Horn is, I assume, the J. Horn of
Hypergeometrische Funktionen zweier Veränderlichen im
Schnittpunkt dreier Singularitäten. (German) Math.
Ann. 117, (1940). 579--586, MR2,47c
and not e.g. numerical analyst Roger Horn.
Jackson in approximation theory must be Dunham Jackson; of course
there are several Jacksons...
This James helped with a result in statistics (see 3D above), and is
not topologist I.M.James.
Kan (category theory) is the Daniel M. at MIT, not one of several from
Asian countries.
Mark Kac and Victor Kac are both well-known; the former in probability
and other fields; the latter in algebra
Kasparov is not the chess player Gary K. !
I asked Kirillov to clarify the many A. Kirillov's in the MSC;
Aleksandr Aleksandrovich Kirillov is him; Alexander A. Kirillov
Jr is his son (MIT); Anatol N. Kirillov is in St. Petersburg
(quantum groups and combinatorics). WPIS lists an A I Kirillov
at Steklov (in 1973).
Laurent is Pierre A ("Laurent series of a function"), not the later
Hermann Laurent
Littlewood is complex analyst/number theorist John (Hardy's friend),
not Dudley (the invariant theorist)
Ljusternik, L (topology) seems to be the same as Ljusternik, Lazar A
(numerical analysis etc.!)
There are several Maedas, including several publishing in geometry
areas; Fumitomo seems like the best match, however.
V. P. Maslov (Quantum-theory) is not the automated-reasoning S. Yu.
Maslov nor any of several other Maslov's (P.P, ...)
The Mathieu of group theory and special functions is Emile; there
is an astronomer/engineer Claude M. from much earlier.
(also a composer Julien-Amable M.)
There are two Mikusinskis in operator theory; I believe the reference
is to the late Jan M rather than Piotr M now at Central Florida
Milman is the father of Vitali D. Milman (Tel Aviv) and Pierre Milman
(Toronto) who work in similar areas.
There are several other Moritas, but this one is both the "Morita
equivalence" ring theorist and the "Morita metrization"
topologist!
Noether is Emma (tochter) not Max (vater).
Peirce is Benjamin (ring theory) not son Charles (logic/combinatorics).
And it's not "Pierce".
Picard is the 19th century Emile, not the 17th century Jean.
There are 126 Popov's in the Math Reviews database; I can't even
comment on which are the most well-known, but V.M.Popov is the
Romanian with publications on stability in DE and control thy.
There is a D.A.S. Rees in Fluid mechanics who may be better known than
ring theorist David Rees
The Schwarz in 30C80 (Schwarz's lemma) is Karl Hermann Amandus Schwarz
(1843-1921) (see MacTutor archive) (Name citations vary.)
The functional analyst Schwartz ("Schwartz spaces") is assumed to be
Fields medalist Laurent, but there are other Schwartzes in
the same general area (Jean-Marie, Jacob, A.L., ...)
Smith is the fixed-point-sets-of-periodic-homeomorphisms Paul A., not
the Smith-Normal-Form linear algebraist Henry Smith, nor
any of several other topologist Smiths (Larry, Jeff, Stephen D)
Stefan is Josef (thermodynamics) not Peter (dynamical systems)
There is a contemporary Suslin well known in K-theory; this Suslin is
the set-theorist from times past.
Neither Stein is the same as Elias Stein (Princeton analyst).
The Stone of 06E is evidently Marshall H. Stone (Chicago), of
Stone-Weierstrass theorem and Stone-Cech compactification
fame. (There's another topologist A.H. Stone: "metrizable
implies paracompact")
Sturm is Jacques Charles-Francois (worked with Liouville), not
geometer Rudolf nor Johannes Sturm, 1507-1589; Jacques is
author of Sturm sequences for solvability of polynomials.
Taylor is of course the 18th century Brook Taylor ("Taylor series"),
not Geoffrey (20th century fluids dynamicist)
E.R. vanKampen is a topologist; N.G. vanKampen a mathematical physicist
There are (at least) two Vekuas working near area 30G; I don't know
which is referred to. Ilya Nestorovich Vekua (1907-1977) and
Nikolai Petrovich Vekua (b. ~1913); it _looks like_ the
former is a closer match to the context.
Verma modules are named after Daya-Nand Verma, but there is
an analytic number theorist D.P. Verma and several other Vermas
Wall must surely be the topologist C.T.C. Wall (Liverpool); but
there are others.
Watson (Galton's coauthor) is Henry, not George (complex variables)
Whitehead is not philospher Alfred North, but rather a topologist. I
_believe_ all the references are to JHC (Henry) Whitehead,
rather than George W. Whitehead, but I am not certain
Wiener is Norbert, not geometer Christan
Witt is not the 17th century Jan de Witt
Of course Yang (Yang-Mills) is not the 13th century Yang
[Obviously this list cannot contain all the mathematicians who share a name
with one of the 357. I can add comments regarding people about whom there
is a reasonable chance of confusion.]
4B. Information available from St Andrews
About 220 names currently have an entry in the St Andrews history archive.
Each URL is of the form
http://www-groups.dcs.st-andrews.ac.uk/~history/Mathematicians/Abel.html
NOTE: I usually _assume_ that the persons whose biographies are listed below
are the ones intended by the authors of the MSC! Please let me know if
I've erred. In some cases (e.g. Weinstein) this is frankly a guess on my
part. In at least one case (Brillouin) the St Andrews person is definitely
the wrong one.
Sometimes there is more than one so-named person at St Andrews; they
can be distinguished using the comments in 4A.
Abel Adams Airy Aleksandrov al'Khwarizmi
Ampere Appell Archimedes Artin Baire
Banach Bayes Bell Bergman Bernoulli
Bers Bessel Blaschke Bloch Boole
Borel Brauer Burnside Cantor Caratheodory
Cartan Cauchy Cech Cesaro Chebyshev
Chern Clifford Coxeter Cremona Darboux
Dedekind Dehn deMorgan Denjoy deRham
Desargues Descartes Diophantus Dirac Dirichlet
Einstein Engel Enriques Epstein Erdos
Euclid Euler Fano Fatou Fermat
Feynman Fibonacci Finsler Fourier Frechet
Fredholm Fresnel Frobenius Fuchs Galerkin
Galois Galton Gauss Gegenbauer Gelfond
Godel Goldbach Gorenstein Grassmann Green
Grothendieck Haar Hadamard Hahn Hamilton
Hankel Hardy Hausdorff Hecke Helly
Hensel Hermite Hilbert Hill Hodge
Holder Hopf Hurwitz Jacobi Jacobson
Jordan Kaluza Klein Korteweg Kovalevskaya
Kronecker Krull Kutta Lagrange Laguerre
Lame Laplace Laurent Lebesgue Lefschetz
Legendre Lerch Lie Lindelof Liouville
Lipschitz Littlewood Lorentz Lucas Lukasiewicz
Lyapunov Macaulay MacLane Maclaurin Malcev
Markov Mathieu Maxwell Minkowski Mobius
Monge Montel Morse Nash Navier
NeumannB NeumannCG NeumannH Nevanlinna Newton
Noether Pade Paley Pappus Peirce
Perron Pfaff Picard Planck Poincare
Poisson Post Prufer Pythagoras Radon
Ramsey Raphson Rayleigh Reidemeister Riemann
Riesz[M or F!] Runge Saint-Venant Saks Schnirelman
Schoenflies Schottky Schrodinger Schubert Schur
Schwarz Shannon Siegel Stefan Steiner
Stieltjes Stirling Stokes Stone Sturm
Sylow Sylvester Tauber Taylor Teichmuller
Thue Toeplitz Turan Turing Uryson
Veronese Volterra vonNeumann Waring Watson
Weierstrass Weil Weinstein Weyl Whitehead
Wiener Wigner Zorn Zygmund
Added since alphabetization: Baker, Bernstein, Boltzman, Calderon, Drinfeld,
Gelfand, Helmholtz, Heyting, Kolmogorov, Milnor, Moore(RL), Schwartz, Selberg,
Serre, Smale, Sobolev, Spanier, Wall
4C. Other biographical resources consulted (or not!)
Sources: Information without further references usually taken from: Math
Reviews; AMS Combined membership list; St Andrews archive; MSC 1991 text.
I have also consulted the following biographical indices in a
non-systematic way. Persons with entries in these books are indicated
by these codes (listed in decreasing order of utility for this list):
Thus one may, for example, determine the birthday for each person.
P1, P2, ..., P7b: Poggendorf, Vol.1, Vol.2, ...
WWS: Who's who in Science (I had the 1968 edition)
WWW: Who was who (British)
AMWS: American Men and Women in Science [there is a cumulative index
to editions 1-14, publ. 1983. Later editions also used.]
EDM: Encyclopedic Dictionary of Mathematics 2/e [MIT Press]
AMSci: American Men in Science (9th edition)
WWBS: Who's who in British Science (1980-1)
ICC: Canberra Circular (BH Neumann's database)
JDMV: Jahresberichte Deutscher Math. Verein.
(good index, v 82 # 4 p 181+ by Tietz; also 1986, and 1950)
SMS: Soviet Men of Science 1963
N20: Notable Twentieth Century Scientists
WPIS: Who's Publishing In Science, 1973
DNB: [British] Dictionary of National Biography (Next is due 2004!)
MSU: Matematika a SSSR (biobibliographic listings by author) 1958-1967
FER: Web site at University of Ferrara
(http://felix.unife.it/Root/d-Mathematics/d-The-mathematician/t-Mathematicians-A-Z)
TUF: Web site at Tech.Univ.Freiberg:
(http://www.mathe.tu-freiberg.de/~hebisch/cafe/lebensdaten.html)
MGP: Mathematical Geneology Project:
(http://hcoonce.math.mankato.msus.edu/)
Many Russian and Soviet mathematicians, in particular, are feted on their
major birthdays with laudatory articles in Uspekhi Mat. Nauk (translated as
Russian Mathematical Surveys). See in particular the index through 1960
in vol 42 #1 of RMS (index of obituaries pp93-95, of anniversary articles
pp 96+). Of MSU, Joel writes,
"In general, another good source for Soviet mathematicians is the
4-volume set "Matematika v SSSR" (Mathematics in the USSR), which has
3-line biographical sketches and lists of publications. I know that MR
has a copy."
Also valuable is the US National Academy of Sciences. Biographical data on
all present and deceased members is available at their website
http://www4.nas.edu/nas/naspub.nsf/$$Section11?OpenView&Start=1&Count=500
[for ~100 living members of section 11, Mathematics. For all deceased members:]
http://www4.nas.edu/nas/nasdece.nsf/all?OpenView&Count=300
which in particular gives full dates of birth and death.
Upon a member's death there is often a published scientific biography in
a series named Biographical Memoires. Members of the NAS are marked "NAS"
if I noticed their membership...
4D. Specific biographical pointers on the non-St.Andrews names.
Here are a few biographical details on those not mentioned at St Andrews,
to help sort out who's who. The data are drawn from a number of sources
(see above) and since they provide significant corroborating data, there
seems little chance that I've conflated two person's identities in any
of the entries below. HOWEVER, I again can only _assume_ that the persons whose
biographies are sketched below are the ones intended by the authors of the MSC!
I'd appreciate
1. corrections, should it be the case that the person described
below is clearly not the one intended in the MSC
2. additional sources of biographical information (just a couple
sources per person is probably sufficient).
One might think of this as a beginner's guide to mathematical biography of
the mid 20-th century, since that period (and the even more recent period)
is typically poorly represented in all the other collections of biographies
of mathematicians. There are about 150 names here. For each I have tried to
give name, dates, pointers to biographies/bibliographies; failing that
to significant or last-know papers.
Anosov, Dmitirii. (b. 1936) EDM (126A,J: Dynam. syst; 136G)
Arnol\cprime d, V. I.; Bolibrukh, A. A.; Gamkrelidze,
R. V.; Maslov, V. P.; Mishchenko, E. F.; Novikov, S. P.; Osipov, Yu.
S.; Sina\u\i, Ya. G.; Stepin, A. M.; Faddeev, L. L. Dmitri\u\i
Viktorovich Anosov (on the occasion of his sixtieth birthday).
(Russian) Uspekhi Mat. Nauk 52 (1997), no. 2(314), 193--200.
Arakelov, Suren Ju. (b 1947) Algebraic geometer
[I have no biographic data; the last paper by him in MathReviews is this:]
57 #12505 Arakelov, S. Ju. An intersection theory for divisors
on an arithmetic surface. (Russian) Izv. Akad. Nauk SSSR Ser. Mat. 38
(1974), 1179--1192 [Translation: Math. USSR, Izv. 8(1974), 1167-1180 (1976)]
Zbl351.14003: Theory of intersections on the arithmetic surface. (English)
Proc. int. Congr. Math., Vancouver 1974, Vol. 1, 405-408 (1975).
[Correspondence with a friend and colleague of Arakelov suggests he
departed research mathematics following an illness about 1975, but still
lives in Moscow]
Aronszajn, Nachman (1907-1980)
85m:01086b Bibliography of the papers of N. Aronszajn. (Polish)
Wiadom. Mat. 25 (1983), no. 1, 96--100.
85m:01086a Szeptycki, Pawe\l Nachman Aronszajn (1907--1980).
(Polish) Wiadom. Mat. 25 (1983), no. 1, 89--96.
Auslander, Maurice (1926-1994)
97a:01045 Buchsbaum, David; Ringel, C. M.; Reiten, Idun Maurice
Auslander 1926--1994. Representation theory of algebras (Cocoyoc,
1994), 1--15, CMS Conf. Proc., 18, Amer. Math. Soc., Providence, RI, 1996
[] Peskine, Christian; Reiten, Idun Maurice Auslander
(1926--1994). With a note by Hugo Rossi. Notices Amer. Math. Soc. 42
(1995), no. 4, 450--453
Azumaya, Goro (b. 1920) AMWS
Biography of Goro Azumaya. Azumaya algebras, actions,
and modules (Bloomington, IN, 1990), xv, Contemp. Math., 124, Amer.
Math. Soc., Providence, RI, 1992.
Backlund, Albert Victor [Bäcklund] (1845-1922) P3
Jber. Deut. Math. Verein 38 (1929) 113-152
Baker, Alan: Cambridge number theorist and Fields medalist (b. 1939) N20
54 #2394 Turán, Paul On the work of Alan Baker. Actes du
Congrès International des Mathématiciens (Nice, 1970), Tome 1, pp.
3--5. Gauthier-Villars, Paris, 1971
Bio now at St Andrews
Barbilian, Dan (1895-1961)
89m:01064 Radu, Nicolae A contribution of Dan Barbilian to
Galois theory. (Romanian) Proceedings of the Conference on Algebra
(Romanian) (Timi\c soara, 1986), 74--76, Univ. Timi\c soara, Timi\c
soara, 1987.
87a:01034 Dan Barbilian (1895--1961). Libertas Math. 5 (1985),
175--177.
Bernstein, Sergei Natanovich (1880-1968) P7b
[See also the MacTutor archive article]
92j:01057 Bogolyubov, A. N. Serge\u\i Natanovich Bernshte\u\i
n. (Russian) Voprosy Istor. Estestvoznan. i Tekhn. 1991, no. 3, 56--65
85c:01036 Lozinski\u\i, S. M. On the occasion of the hundredth
anniversary of the birth of S. N. Bernstein. (Russian) Uspekhi Mat.
Nauk 38 (1983), no. 3(231), 191--203
40 #1248 Aleksandrov, P. S.; Ahiezer, N. I.; Gnedenko, B. V.;
Kolmogorov, A. N. Serge\u\i Natanovi\v c Bern\v ste\u\i n: Obituary.
(Russian) Uspehi Mat. Nauk 24 1969 no. 3 (147) 211--218. (1 plate).
Bethe, Hans (Cornell Nobel-prizewinning physicist) (b. 1906, d. 2005) P7b, N20
Bio at: http://www.nobel.se/laureates/physics-1967-1-bio.html
The MSC reference is presumably to the paper
Salpeter, E. E.; Bethe, H. A. A relativistic equation for bound-state
problems. Physical Rev. (2) 84, (1951). 1232--1242. MR14,707a
The AIP funded a biography by Samuel Schweber
Still giving lectures in 1999: http://bethe.cornell.edu/
Passed away 2005-03-06
Birch, Bryan J: Oxford number theorist/alg. geometer (b. 1931) WWBS
birch@maths.ox.ac.uk
Bockstein, Meyer (his Froncophone name for a couple of papers. The Cyrillic is
variously transliterated as Bokstein or Bokshtein, etc.: Meer Feliksovich B.
(b. 1913/10/04) Topology/homological algebra. MSU. EDM:64B,117F
Papers 1955-75, e.g.
21 #2680b Bockstein, Meyer Sur la formule des coefficients
universels pour les groupes d'homologie. (French) C. R. Acad. Sci.
Paris 247 1958 396--398. (Reviewer: S. Marde\v si\'c) 18.00 (55.00)
Novikov tells me Bockstein died "a few years ago". Mathematicians were able
to tell me little but a relative confirmed that "Meer Feliksovich Bockstein
was born in Moscow on Oct.4, 1913 and passed away in Moscow on May 2, 1990".
Boltzmann, Ludwig: (1844-1906) physicist P3 NAS
photo: http://webster.aip.org/history/esva/boltz.htm
1j:01057 Stiller, Wolfgang Ludwig Boltzmann. (German)
Altmeister der klassischen Physik. Wegbereiter der Quantenphysik und
Evolutionstheorie. [Patriarch of classical physics. Pioneer of quantum
physics and evolution theory] Verlag Harri Deutsch, Thun, 1989. 212
pp. ISBN: 3-8171-1115-0
[Bio now at St Andrews]
Bott, Raoul (now at Harvard) (b. 1923) N20 NAS
91h:01090 01A70
1990 Steele Prizes awarded in Columbus. (English)
Notices Amer. Math. Soc. 37 (1990), no. 7, 801--807.
95i:01027 01A75 Raoul Bott: collected papers. (several volumes)
Contemporary Mathematicians. (series)
Birkhäuser Boston, Inc., Boston, MA, 1994. 584 pp. ISBN 0-8176-3613-7
Brewer, Burns W. (1912-1975)ICC AMWS Last paper:
32 #5610 Brewer, B. W. On primes of the form
$u\sp{2}+5v\sp{2}$. Proc. Amer. Math. Soc. 17 1966 502--509.
Brillouin, Leon Nicholas (1889-1969) P6 P7 EDM NAS
Brown, Robert (1773-1858) P3
92d:01026 Maiocchi, Roberto The case of Brownian motion.
British J. Hist. Sci. 23 (1990), no. 78, part 3, 257--283.
Buchsbaum, David (b. 1929) AMWS ring theorist at Brandeis
Burgers, Johannes Martinus (1895-1981) P7b JDMV72,pp170-171 AMWS
"International Who's Who" through 1978/9 edition; in 1982/3 ed, "obit 1981")
87f:01046 Ferrari, Carlo In commemoration of Prof. Johannes
Martinus Burgers. (Italian) Atti Accad. Sci. Torino Cl. Sci. Fis. Mat.
Natur. 116 (1982), no. 3-6, 339--347 (1984)
Busemann, Herbert (1905-1994) USC geometer See JDMV72, 170-171
94h:53099 Busemann, H.; Phadke, B. B. Novel results in the
geometry of geodesics. Adv. Math. 101 (1993), no. 2, 180--219.
Obit, Notices AMS v 41 (1994) p472
Calderon, Alberto: (1920-1998) Chicago and Argentina, analyst N20 NAS
92m:01083 01A70
Alberto P. Calderon receives National Medal of Science. (English)
Notices Amer. Math. Soc. 39 (1992), no. 4, 283--285.
90j:01135 01A70
1989 Steele Prizes awarded at Summer Meeting in Boulder. (English)
Notices Amer. Math. Soc. 36 (1989), no. 7, 831--836.
86e:01065 01A70 Alberto Calderon. (French)
C. R. Acad. Sci. Sér. Gén. Vie Sci. 1 (1984), no. 6, 514--515.
Obituary notice: Notices AMS 45 (1998) #6
[Bio now at St Andrews]
Carles III Grimaldi, prince of Monaco (d. 1889). Named "Monte Carlo" in 1866,
father of Prince Albert I, active in oceanography and paleontology. See
http://www.monaco.mc/monaco/index.html
http://www.angelfire.com/in/heinbruins/images/Monaco.html
http://www.worldroots.com/brigitte/famous/charles3ancestors.htm
Choquet, Gustave (b. 1915) analyst, Paris VI
89i:01129 Citation for Gustave Choquet. Bull. London Math. Soc.
20 (1988), no. 5, 543
Chow, Wei-Liang (1911-1995)
1 410 978 Wilson, W. Stephen; Chern, S. S.; Abhyankar, Shreeram
S.; Lang, Serge; Igusa, Jun-ichi Wei-Liang Chow [1911--1995]. Notices
Amer. Math. Soc. 43 (1996), no. 10, 1117--1124
98b:00037 Birational algebraic geometry. Proceedings of the
Japan-U.S. Mathematics Institute (JAMI) Conference in memory of
Wei-Liang Chow (1911--1995) held at Johns Hopkins University,
Baltimore, MD, April 11--14, 1996. Edited by Yujiro Kawamata and
Vyacheslav V. Shokurov. Contemporary Mathematics, 207. American
Mathematical Society, Providence, RI, 1997. 152 pp. ISBN: 0-8218-0769-2
Cohen, Irvin Sol (1917-1955) AMSci. (obit., 1995 ed.) Last paper:
18,788e Cohen, I. S.; Zariski, Oscar A fundamental inequality
in the theory of extensions of valuations. Illinois J. Math. 1 (1957), 1--8
Daniell, Percy John (1889-1946) P7b
9,170c Stewart, C. A. Obituary: P. J. Daniell. (English)
J. London Math. Soc. 22, (1947). 75--80.
deVries, Gustav (b. ~1870) EDM:387B
F van der Blij, Some details of the history of the Korteweg-de Vries
equation, Nieuw Arch. Wisk. (3) 26 (1) (1978), 54-64. MR80k:01041
Kox, A. J. Korteweg, de Vries, and Dutch science at
the turn of the century. KdV '95 (Amsterdam, 1995). Acta Appl. Math.
39 (1995), no. 1-3, 91--92. Biographical information:
http://staff.science.uva.nl/~janwieg/korteweg/
Ditkin, Vitalii Arsenevich (b. 1910)ICC [I believe he's still living in Moscow]
44 #2556 Dorodnicyn, A. A.; Lavrent\cprime ev, M. A.;
Ljusternik, L. A.; Prudnikov, A. P. Vitali\u\i Arsen\cprime evi\v c
Ditkin (on his sixtieth birthday). (Russian) Uspehi Mat. Nauk 25 1970
no. 5 (155) 253--258. (1 plate)
91j:01052a Prudnikov, A. P. Vitali\u\i Arsen\cprime evich
Ditkin. (Russian) Analytic and numerical methods for solving problems
in mathematical physics (Russian), 5--13, Akad. Nauk SSSR, Vychisl.
Tsentr, Moscow, 1989. 01A70
Drinfeld, Vladimir (b. 1954) Fields medalist 1990, Ukraine (Now at Chicago)
91i:01056 Gleason, Andrew M., et al. ICM-90. (English)
Report on the International Congress of Mathematicians held in Kyoto,
August 21--29, 1990.
Notices Amer. Math. Soc. 37 (1990), no. 9, 1209--1216.
Bio now at St Andrews
Dyer, Eldon, (b. 1929) algebraic topologist at CUNY -- AMWS, WWS
Eckmann, Beno (b. 1917), homological algebra, Zurich
A page for his 80th birthday fest: http://bianya.crm.es/eckmann80/curric.htm
"Descendants": http://www.math.ethz.ch/~eckmann/Stammbaum.ps
88g:01069 Eckmann, Beno Selecta. Edited and with a foreword by
Max-Albert Knus, Guido Mislin and Urs Stammbach. Springer-Verlag,
Berlin-New York, 1987. xii+835 pp. ISBN: 3-540-17518-0
56 #15326 Hilton, Peter Some contributions of Beno Eckmann to
the development of topology and related fields. Enseignement Math. (2)
23 (1977), no. 3-4, 191--207
Eilenberg, Samuel (1913-1998) NAS
88h:01065
1987 Steele prizes awarded at the summer meeting in Salt Lake City.
Notices Amer. Math. Soc. 34 (1987), no. 6, 875--878.
53 #12817 Algebra, topology, and category theory. (English)
A collection of papers in honor of Samuel Eilenberg.
Edited by Alex Heller and Myles Tierney.
Academic Press, New York-London, 1976. xi+225 pp.
Farey, John (Sr.) (1766-1826)
96h:01019 Bruckheimer, Maxim; Arcavi, Abraham
Farey series and Pick's area theorem.
Math. Intelligencer 17 (1995), no. 4, 64--67.
Farey, John: "General View of the Agriculture and Minerals of Derbyshire",
3 vols, 1811, repr. 1989 with intro by Hugh S. Torrens (and T.D. Ford),
ISBN 0 904334 02 3.
See also [British] Dictionary of National Biography (New, due out 2004!)
Fitting, Hans (1906-1938) JDMV82
Jahresber. Dtsch. Math.-Ver. 49 (1939) 93-96
Fokker, Adriaan Daniel (1887-1972) WWS, P7b. EDM:402I(Stat Mech),
115A(Diffusion). Later papers in music/acoustics!
93d:01043 Kox, A. J. General relativity in the Netherlands, 1915--1920.
Studies in the history of general relativity (Luminy, 1988), 39--56, 463,
Einstein Stud., 3, Birkhäuser Boston, Boston, MA, 1992.
http://www.astro.virginia.edu/~eww6n/bios/Fokker.html
Franz, Wolfgang (1905-1996)
CMP 1 671 526 [MR pending] (99:08) 01A70 Burde, G.; Schwarz, W.
Wolfgang Franz zum Gedächtnis. (German) [Wolfgang Franz in memoriam]
Jahresber. Deutsch. Math.-Verein. 100 (1998), no. 4, 284--292.
http://wwwmaths.anu.edu.au/imu/98/personal.html
Frattini, Giovanni (1852-1925) P6
92a:01065 Emaldi, Maurizio(I-PADV-PM)
Giovanni Frattini 1852--1925. (English)
Irish Math. Soc. Bull. No. 23 (1989), 57--61.
Fuks, Dmitry Borisovitch.: (b. 1939/09/30) algebraist/geometer now at U.C.Davis
[papers date from 1959 through present][EDM: 154G, Foliations; 105AA,r]
MSU. See also http://math.ucdavis.edu/profiles/fuchs.html
Gale, David (b. 1921): Berkeley geometer-cum-optimizer-cum-popularizer WWS
http://math.berkeley.edu/faculty.html#emeritus
Gateaux, Rene, (1889-1914) All publications (~5) posthumous, submitted by Levy.
In his autobiography, Levy states, "R. Gâteaux, un normalien mort pour la
France dès le début de la guerre, et qui lui avait laissé des papers non
publiés. Il me proposa de travailler à la publication de ces papiers,
ce que naturellement j'acceptai."
The papers are reviewed in vol 44-48 of the Jarhbuch der Fort. der Matem.
See also Bull Soc Math France v 47 (1919) pp 47-48 for biographical notes
He shares a home town with DeMoivre:
http://www.vitry-le-francois.net/decouvrir/vitryHier/personnagesCelebres.html
Gelfand, Israel M. (b. 1913) SMS Moscow global analyst, now at Rutgers NAS
31 #20 Vi\v sik, M. I.; Kolmogorov, A. N.; Fomin, S. V.; \v
Silov, G. E. Israil\cprime Moiseevi\v c Gel\cprime fand. (On his
fiftieth birthday) (Russian) Uspehi Mat. Nauk 19 1964 no. 3 (117)
187--205 (1 plate).
1 143 809 Gindikin, S. Israel Gel\cprime fand. Geometry and
physics, ix--xii, Pitagora, Bologna, 1991.
[Bio now at St Andrews]
Gersten, Steve (b 1940) AMWS group theory/K-theory, now at Utah
Goldie, Alfred W (b.1920/12/10: ICC): Leeds ring theorist
[papers range from 1950 through the present]
[see http://www.amsta.leeds.ac.uk/pure/algebra/ ] 80th birthday conference:
http://www.maths.gla.ac.uk/~ig/goldie/Goldieno.htm
Gordon, Walter (1893-1939) P6 WWS
82f:01060 Carazza, B.; Guidetti, G. P.
The origin of the Klein-Gordon equation. (Italian)
Arch. Hist. Exact Sci. 22 (1980), no. 4, 373--383.
85k:81004 Kragh, Helge
Equation with the many fathers. The Klein-Gordon equation in 1926.
Amer. J. Phys. 52 (1984), no. 11, 1024--1033.
96h:35004 Heyerhoff, Markus
Sine-Gordon equation. Comments on: "A gallery of
constant-negative-curvature surfaces" [Math. Intelligencer 16 (1994),
no. 4, 31--37; MR 95f:53017] by R. McLachlan.
Math. Intelligencer 17 (1995), no. 3, 4, 66.
Grobner, Wolfgang (1899-1980)
83f:01043 Liedl, R.; Reitberger, H. Wolfgang Gröbner zum
Gedenken (11.2.1899--20.8.1980). (German) [In memory of Wolfgang
Grobner (11.2.1899--20.8.1980)] Yearbook: Surveys of mathematics 1981,
pp. 255--256, Bibliographisches Inst., Mannheim, 1981
Gromov, Mikhael (b. 1943)(FER) Now at IHES NAS
97m:01099 01A70: 1997 Steele Prizes.
Notices Amer. Math. Soc. 44 (1997), no. 3, 342--345.
CMP 1 063 962 (90:15) 01A70 Mikhael Gromov. (French)
C. R. Acad. Sci. Paris Sér. Gén. Vie Sci. 6 (1989), no. 6, 492.
Hammerstein Adolf (1888-1941) P6 JDMV54. See also
95h:34002 Mawhin, Jean(B-UCL-IM)
Boundary value problems for nonlinear ordinary differential equations: from
successive approximations to topology. (English) Development of mathematics
1900--1950 (Luxembourg, 1992), 443--477, Birkhäuser, Basel, 1994.
[These references are to a person working in integral equations. The
MSC reference to Hammerstein is in nonlinear operators, but the papers in
47H30 with "Hammerstein" in them refer to integral equations too.]
[The EDM lists a similar person under "H.Hammerstein"]
Hartogs, Friedrich (1874-1933) P6 JDMV 73 p. 201 Last Zbl paper:
001.21302 Hartogs, F.; Rosenthal, A.
Ueber Folgen analytischer Funktionen. (Ergaenzung zur Arbeit im 100. Band.)
Math. Ann. 104, 606-610 (1931).
Helmholtz, Hermann von (1821-1894) P1, P3 [Books on his work exist] NAS
50 #9489 Albring, W. Helmholtzens Einfluß auf die Entwicklung
von Mathematik und Mechanik. Eine Würdigung zum 150. Geburtstag.
(German) Vorträge der Konferenz für Mechanik (Deutsche Akademie der
Wissenschaften zu Berlin, 1971). Z. Angew. Math. Mech. 52 (1972),
T250--T255.
[Bio now at St Andrews]
Helson, Henry (b. 1927): harmonic analysis, Berkeley AMWS
http://math.berkeley.edu/faculty.html#emeritus
Heyting, Arend (1898-1980), P7b, WWS, TUF
91i:01094 Kushner, B. A. Arend Heyting: a short sketch of his
life and work. (Russian) Methodological analysis of the foundations of
mathematics (Russian), 121--135, "Nauka", Moscow, 1988
[Bio now at St Andrews]
Higman, Graham (b. 1917) group theory, Oxford WWS
http://www.maths.ox.ac.uk/arg/people/faculty.html
Hilton, Peter (b. 1923) Homological algbebra, SUNY Binghamton, AMWS, WWS
Hjelmslev, Johannes Trolle (1873-1950) P7b
88d:01035 Fog, David Johannes Hjelmslev. (Danish) With an
introduction by Torkil Heiede. Normat 33 (1985), no. 4, 149--164, 195
Hochschild, Gerhard P (b. 1915)(FER), now at Berkeley NAS
http://math.berkeley.edu/faculty.html#emeritus
Hopf, Eberhard (1902-1983) analyst, Indiana U JDMV92, 47-57
"In memoriam Eberhard Hopf: 1902--1983" Indiana Univ. Math. J. 32 (1983),
no. 6, i--ii.
Icha, Andrzej(PL-PASGD2-OC) Eberhard Hopf (1902--1983).
Nieuw Arch. Wisk. (4) 12 (1994), no. 1-2, 67--84.
Denker, M. "Eberhard Hopf: 04-17-1902 to 07-24-1983" DMV 92#2 (1990) 47--57
Anselone, P. M. "In honor of Professor Eberhard Hopf on the occasion of his
seventieth birthday" Applicable Anal. 3 (1973), 1--5.
Horn, Jakob (1867-1939) P6
Jahresb.Deut.Math.Ver. 1980 p 186 gives date of death as 1939 but we find:
Zbl#061.17305 Horn, J. , Integration linearer Differentialgleichungen
durch Laplacesche Integrale. I, II. (German)
Math. Z. 49, 339-350, 684-701 (1944)
Ising, Ernst (1900-1998) AMWS
Kobe, S. Ernst Ising---physicist and teacher. J.
Statist. Phys. 88 (1997), no. 3-4, 991--99
Obituary: http://www.bradley.edu/las/phy/ising.html
Iwasawa, Kenkichi (b. 1917) AMWS Princeton algebraic number theorist
92b:01073a,b 91k:11001
List of publications of Kenkichi Iwasawa. Coates, John: Comments.
Algebraic number theory, Papers in honor of K. Iwasawa on the occasion of
his 70th birthday on September 11, 1987.
Edited by J. Coates, R. Greenberg, B. Mazur and I. Satake.
Advanced Studies in Pure Mathematics, 17. Academic Press, Inc., Boston, MA;
Kinokuniya Company Ltd., Tokyo, 1989 492 pp. $99.00. ISBN 0-12-177370-1
CMP 1 256 476 (94:06) 01A70
Two hours with Kenkichi Iwasawa. (Japanese)
S\=ugaku 45 (1993), no. 4, 366--372.
Jackson, Dunham (1888-1946) NAS see e.g. his text
98a:01022 Jackson, Dunham The theory of approximation.
American Mathematical Society Colloquium Publications, 11.
American Mathematical Society, Providence, RI, 1994. viii+178 pp.
Reprint of the 1930 original: ISBN 0-8218-1011-1
[] Bull AMS 54 (1948) 847-60
Jacobsthal, Ernst Erich (1882-1965) P6
33 #17 Selberg, Sigmund Ernst Jacobsthal. (Dutch) Norske Vid.
Selsk. Forh. (Trondheim) 38 1965 70--73
James, Willard (b. 1927/06/13) the only mathematical work in MR is this paper
MR 24 #A3025 James, W.; Stein, Charles Estimation with quadratic
loss. 1961 Proc. 4th Berkeley Sympos. Math. Statist. and Prob., Vol. I
pp. 361--379 Univ. California Press, Berkeley, Calif. (Reviewer: J.
Kiefer) 62.30
See EDM section 280D, r398, 399G
MGP: Willard Donald James, PhD 1957 at U Illinois under Waldemar Trjitzinsky
In an amazing twist of fortune, I eventually found that James had earned
his undergraduate degree at the same (non-famous) institution where I teach!
Kac, Victor (b. 1943) MIT, noncommutative ring theory etc.
December 1995 Notices Amer Math Soc: Kac and Moody win Wigner prize
(and related articles): http://e-math.ams.org/notices/199512/people-kac.html
Kahler, Erich (1906-2000) [Last living near Hamburg, I believe]
[The Erich Kahler who writes about Civilization lived 1885-1970 -- not him]
57 #15815 Special issue dedicated to the seventieth birthday of Erich
Kahler. (English) Abh. Math. Sem. Univ. Hamburg 47 (1978).
Vandenhoeck & Ruprecht, Göttingen, 1978. pp. 1--259.
Kan, Daniel M. (MIT) topologist EDM (sec. 70E, Complexes)
[papers range from 1955 to the present]
Karoubi, Max; Paris VII, K-theory [WPIS: Strasbourg (1973)]
"Who's Who in Science in Europe, 1995"
His home page: http://www.math.jussieu.fr/~karoubi/
Kasparov, Gennadi G: K-theorist at Institut de Mathématiques de Luminy
[papers range from 1969 to the present]
kasparov@iml.univ-mrs.fr [as of a 1997 AMS paper]
Kirillov, Alexandr Aleksandrovich (b. 1936), ring theory, Penn.
EDM 437T (Group theory: Unitary Representations). He has a web page of
photos: http://www.math.upenn.edu/~kirillov/
Kleisli, Heinrich (b.1930/10/19: ICC) category theory, Fribourg Switz
[papers range from 1962 to the present]
Kloosterman, Hendrik Douwe (1900-1968) P7b
38 #5567 van der Blij, F.; de Bruijn, N. G. In memoriam: H. D.
Kloosterman (1900--1968). (Dutch) Nieuw Arch. Wisk. (3) 16 1968
139--147.
Kolmogorov, Andrej Nikolajevich (1903-1987) P7b, N20, SMS NAS
93b:01040 Shiryaev, A. N. Everything about Kolmogorov was
unusual$\ldots$. Translated from the Russian by Andrew L. Rukhin.
Statist. Sci. 6 (1991), no. 3, 313--318
93b:01039 Kendall, David G. Kolmogorov as I remember him.
Statist. Sci. 6 (1991), no. 3, 303--312
[Bio now at St Andrews]
Kothe, Gottfried (1905-1989)
93k:01080b Tillmann, Heinz Günther Gottfried Köthe, 1905--1989.
(German) Dedicated to the memory of Professor Gottfried Köthe. Note
Mat. 10 (1990), suppl. 1, 9--21 (1992). 01A70
93k:01080a Weidmann, J. Gottfried Köthe, 1905--1989. Dedicated
to the memory of Professor Gottfried Köthe. Note Mat. 10 (1990),
suppl. 1, 1--7 (1992)
Kramers, Hendrik Anthony (1894-1952) P5 P6 P7 EDM
Krasner, Marc (1912-1985)
87k:01051 Dieudonné, Jean Marc Krasner. (French) Proceedings of
the seminar on the history of mathematics, 7, 29--30, Inst. Henri
Poincaré, Paris, 1986
87f:01075 Peri\'c, V. Marc Krasner 1912--1985. Rad. Mat. 1
(1985), no. 2, 317--318
Krein, Mark Grigorevich (1907-1989) WWS NAS
90m:01066 Gohberg, Israel Mark Grigorievich Kre\u\i n,
1907--1989. Notices Amer. Math. Soc. 37 (1990), no. 3, 284--285. 01A70
3,90a Krein, M.; Milman, D. On extreme points of regular convex
sets. Studia Math. 9, (1940). 133--138
Kunneth, Hermann (1892-1975) P6 JDMV78, 61-66
54 #7177 Haupt, Otto Hermann Künneth zum Gedenken. (German)
Jber. Deutsch. Math.-Verein. 78 (1976/77), no. 2, 61--66
Langevin, Paul (1872-1946) P7b
Gnedina, T. E. {\cyr Pol\cprime Lanzheven.
1872--1946}. (Russian) [Paul Langevin. 1872--1946] {\cyr
Nauchno-Biograficheskaya Literatura}. [Scientific-Biographic
Literature] ``Nauka'', Moscow, 1991. 288 pp. ISBN: 5-02-000174-0
Langlands, Robert (b. 1936) Princeton Inst Adv Study; Lie groups... NAS AMWS
89b:01070 Robert P. Langlands receives first NAS Award in
Mathematics. Notices Amer. Math. Soc. 35 (1988), no. 4, 509--510.
Lashof, Richard Kenneth (b. 1922); Chicago algebraic topologist WWS
Lauricella, Giuseppe (1867-1913) P4, P5, see also vol44,p31 of Jahrbuch F.d.M.
Sulle funzioni ipergeometriche a piu variabli Rend. Circ. Mat. Palermo 7
1893 p.111
Lidstone, George James (1870-1952) WWW,vol.5 Only AU=LIDSTONE papers in MR:
4,20c Lidstone, G. J. Notes on the Poisson frequency
distribution. J. Inst. Actuar. 71, (1942). 284--291. (Reviewer: W.
Feller) 62.0X
2,367i Lidstone, G. J. Notes on interpolation. Part 2. III(i)
continued. The origin of the throw-back device. IV. Aitken's new
method of inverse interpolation. V. The connexion of the throw-back
with Stirling's and Bessel's formulae. J. Inst. Actuar. 71, (1941).
68--95. (Reviewer: W. E. Milne) 65.0X
[There are 9 papers in Zbl. dating to 1933 and presumably many older still.]
Ljusternik, Lazar Aronovich (1900-1981) P7b, SMS
83i:01052 Aleksandrov, P. S. In memoriam Lazar\cprime Aronovich
Lyusternik. (Russian) Uspekhi Mat. Nauk 37 (1982), no. 1(223),
125--126 (1 plate)
10,624a Lyusternik, L.; \v Snirel\cprime man, L. Topological
methods in variational problems and their application to the
differential geometry of surfaces. (Russian) Uspehi Matem. Nauk (N.S.)
2, (1947). no. 1(17), 166--217. (Reviewer: H. Busemann) 53.0X
Machlup, Stefan (b.1927) Swarthmore physicist AMSci
Has a web page: http://theory2.phys.cwru.edu/faculty/machlup.html
15,273i Machlup, S.; Onsager, L. Fluctuations and irreversible
process. II. Systems with kinetic energy. Physical Rev. (2) 91,
(1953). 1512--1515.
15,273h Onsager, L.; Machlup, S. Fluctuations and irreversible
processes. Physical Rev. (2) 91, (1953). 1505--1512.
Mackey, George (b. 1916): representation theory, Harvard AMWS, WWS NAS
Maeda, Fumitomo (1897-1965) EDM; see also the review MR44#123 in Math Rev.
Probably(?) a reference to the paper
Lattice theoretic characterization of abstract geometries.
J. Sci. Hiroshima Univ. Ser. A. 15, (1951). 87--96. MR15,736b
Malliavin, Paul (b. 1925): Paris VI, probability etc.
[papers range from 1949 to the present]
his directory page: http://sesame.mathp6.jussieu.fr/~malliavp/ and a bio is
at http://icmp2000.ma.ic.ac.uk/MathHistory/Malliavin.htm
Martin, Donald Anthony UCLA logician b. 1940
[papers range from 1963 to the present]
He has a B.A. from MIT (1962) but no PhD!
A nondescript web page available through
http://www.humnet.ucla.edu/humnet/phil/faculty/Martin.html
Martin, Robert Samuel (1907-1940) MGP; U of Illinois archives. Last paper:
2,292h Martin, Robert S. Minimal positive harmonic functions.
Trans. Amer. Math. Soc. 49, (1941). 137--172. (Reviewer: J. W. Green)
[PhD 1932 at CalTech under Aristotle Michal, then at U Illinois]
Maslov, Victor Pavlovich (b. 1930/15/06) -- Moscow quantum-theorist EDM
[EDM references in articles 274C: microlocal analysis, 345C, Pseudodiff Op]
http://www.ras.ru/cgi-bin/wldnew/volapuk/?Maslov
Massey, William (b. 1920) Yale algebraic topologist WWS
Mikusinski, Jan (1913-1987).
92e:01060 Kami\'nski, Andrzej
Life and work of Professor Jan Mikusinski. (English) Generalized
functions and convergence (Katowice, 1988), 3--19,
World Sci. Publishing, Teaneck, NJ, 1990.
Mills, Robert Leroy (b. 1922) WWS Physicist at Ohio State
16,432j Yang, C. N.; Mills, R. L. Conservation of isotopic spin
and isotopic gauge invariance. Physical Rev. (2) 96, (1954). 191--195
Milman, David. (1912-1982) (Also see Krein, above)
87f:01050 Gohberg, I.; Liv\v sic, M. S.; Piatetski-Shapiro, I.
David Milman (1912--1982). (English)
Integral Equations Operator Theory 9 (1986), no. 1, i, 1--10.
Milnor, John (b. 1931) SUNY Stony Brook; topology AMWS NAS
95c:01043 Milnor, John Collected papers. Vol. 1. Geometry.
Publish or Perish, Inc., Houston, TX, 1994. x+295 pp. ISBN 0-914098-30-6
[Bio now at St Andrews]
Moody, Robert V. (b. 1941) Alberta, ring theory/group theory
December 1995 Notices Amer Math Soc: Kac and Moody win Wigner prize
(and related articles) http://e-math.ams.org/notices/199512/people-kac.html
Moore, John Coleman (b.1923) Rochester, algebraic topology AMWS, WWS
Moore, Robert Lee (1882-1974) NAS
83k:01047 Wilder, R. L. The mathematical work of R. L. Moore:
its background, nature and influence. Arch. Hist. Exact Sci. 26
57 #5640a Wilder, R. L. Robert Lee Moore, 1882--1974. Bull.
Amer. Math. Soc. 82 (1976), no. 3, 417--427
[Bio now at St. Andrews]
Morita, Kiiti (1915-1995)
Arhangel\cprime skii, A. V.; Goodearl, K. R.;
Huisgen-Zimmermann, B. Kiiti Morita (1915--1995). Notices Amer. Math.
Soc. 44 (1997), no. 6, 680--684
Nemytskii, Viktor Vladimirovich (1900-1967) WWS
36 #4947 Aleksandrov, P. S.; Va\u\i nberg, M. M.; Vinograd, R.
È.; Demidovi\v c, B. P. Viktor Vladimirovi\v c Nemycki\u\i. (Russian)
Uspehi Mat. Nauk 23 1968 no. 2 (140) 179--192 (1 plate)
Nikodym, Otto Martin (1887-1974) P7b
91i:01119 Szyma\'nski, Wac\l aw Who was Otto Nikod\'ym? Math.
Intelligencer 12 (1990), no. 2, 27--31
86b:01031b Bibliography of the works of Otton M. Nikod\'ym.
(Polish) Wiadom. Mat. 25 (1983), no. 1, 83--87. 01A70
86b:01031a Derkowska, Alicja Otton Marcin Nikod\'ym
(1889--1974). (Polish) Wiadom. Mat. 25 (1983), no. 1, 75--83
Nikolskii, Sergei Mickhailovich (b. 1905)
97a:01043 Besov, O. V.; Bochkarev, S. V.; Vladimirov, V. S.; et
al. Serge\u\i Mikha\u\i lovich Nikol\cprime ski\u\i (on the occasion
of his ninetieth birthday). (Russian) Uspekhi Mat. Nauk 50 (1995), no.
6(306), 223--228
He reached at least the age of 95:
http://nik-100.mi.ras.ru/publ95_e.html
Norlund, Niels Erik (1885- 1981)ICC P77b, WWS
89i:01057 Bang, Thøger Niels Erik Nørlund in memoriam. Acta
Math. 161 (1988), no. 1-2, 11--22
85b:01048 Cartan, Henri Niels Erik Nørlund. (French) C. R.
Acad. Sci. Paris Vie Académique 297 (1983), suppl. 9, 17. 01A70
84a:01042 Carleson, Lennart; G\.arding, Lars Obituary on Niels
Erik Nørlund. Acta Math. 148 (1982), 1
Onsager, Lars (1903-1976) Nobel Prize in chemistry P7b NAS
98b:01042 The collected works of Lars Onsager. With commentary.
Edited by P. C. Hemmer, H. Holden and S. Kjelstrup Ratkje.
World Scientific Series in 20th Century Physics, 17.
World Scientific Publishing Co., Inc., River Edge, NJ, 1996. x+1075 pp
ISBN 981-02-2563-6
Ore, Oystein (1899-1968) P7b
43 #19 Aubert, K. E. OØystein Ore and his mathematical work.
(Norwegian) Nordisk Mat. Tidskr. 18 1970 121--126
40 #4073 Oystein Ore (1899--1968). J. Combinatorial Theory 8
1970 i--iii
Orlicz, Wladyslaw (1903-1990)
91i:01136 W\l adys\l aw Orlicz: 24 May 1903--9 August 1990.
Studia Math. 97 (1990), no. 2, ii--iv
80a:01035 Matuszewska, Wanda W\l adys\l aw Orlicz: a review of
his scientific work. Special issue dedicated to W\l adys\l aw Orlicz
on the occasion of his seventy-fifth birthday. Comment. Math. Special
Issue 1 (1978), 1--17 (1 plate)
Pareto, Vilfredo (1848-1923) P4 WWS
92d:01082 Pareto, Vilfredo Statistique et économie
mathématique. (French) [Statistics and mathematical economics] Second
edition. With a preface by René Roy. \OE uvres Complètes de Vilfredo
Pareto [Complete Works of Vilfredo Pareto], VIII. Travaux de Droit,
d'Économie, de Sciences Politiques, de Sociologie et d'Anthropologie
[Works in Law, Economics, Political Science, Sociology and
Anthropology], 48. Librairie Droz, Geneva, 1989. 407 pp.
Petersson, Hans (1902-1984)
Wohlfahrt, K. Hans Petersson zum Gedächtnis. (German)
[Hans Petersson in memoriam] Jahresber. Deutsch. Math.-Verein. 96
(1994), no. 3, 117--129
Popov, Vasile-Mihai (b. 1928/07/07): stability in DE/control: retired from
Florida
[papers range from 1958 to the present][EDM sect 291E: Nonlinear ODE probs]
Postnikov, Mikhail M (b. 1927/10/27) Moscow WWS
90m:01053 Boltyanski\u\i, V. G.; Gamkrelidze, R. V.; Mal\cprime
tsev, A. A.; et al. Mikhail Mikha\u\i lovich Postnikov (on the
occasion of his sixtieth birthday). (Russian) Uspekhi Mat. Nauk 44
(1989), no. 6(270), 163--164
http://www.ras.ru/cgi-bin/wldnew/volapuk/?Postnikov
Potts, Renfrey Burnard (b. 1925/10/04: ICC) mathematical physicist, Adelaide
Tuck, E. O. Retirement of Professor R. B. Potts, A.
O. Austral. Math. Soc. Gaz. 18 (1991), no. 4, 111--112
Rees, David (b. 1918/05/28): ring theorist (in UK)
[A conference in honour of his 80th birthday is to be held at the
University of Exeter in 1998 August].
Regge, Tullio (b. 1931) mathematical physicist, Torino, Italy WWS
See DE, V (EDITOR) "Constrained dynamics and quantum gravity 1996 :
proceedings of the Second Meeting on Constrained Dynamics and Quantum
Gravity, QC96, on the occasion of Tullio Regge's 65th birthday, Santa
Margherita Ligure, Italy, 17-21 September 1996
" . -- : North-Holland, 1997.
Reinhardt, Karl (1895-1941) P6
5,58m Maier, W. Obituary: Karl Reinhardt. (English)
Jber. Deutsch. Math. Verein. 52, (1942). 75--83.
Reiten, Idun: Norwegian ring theorist (WPIS: Brandeis in 1973) (MGP:Illinois71)
She has a nondescript home page: http://www.matstat.unit.no/auto/idunr.html
(PhD has biographical data: b. 1942/1/1)
[papers range from 1970 to the present]
Ritz, Walter (1878-1909) P5
83d:01063 Sirmanov, Ts.
Historical calendar of physics for 1978. (Bulgarian)
Fiz.-Mat. Spis. B\bud lgar. Akad. Nauk. 21(54) (1978), no. 2,147--149.
Roch, Gustav (1839-1866) P3
papers include Z.Mth.Ps. 11 (1866) 53- (evaluation of theta fcns),
Z.Mth.Ps 10(1865) 317-
Rossby, Carl-Gustaf A. (1898-1957) meteorologist WWS NAS
12,367a Ertel, Hans; Rossby, Carl-Gustaf A new conservation
theorem of hydrodynamics. Geofis. Pura Appl. 14, (1949). 189--193.
(Reviewer: C. Truesdell) 76.1X
Salpeter, Edwin Ernst (b. 1924) WWS, AMWS, Cornell physicist
14,707a Salpeter, E. E.; Bethe, H. A. A relativistic equation for
bound-state problems. Physical Rev. (2) 84, (1951). 1232--1242.
Samuel, Pierre (b. 1921) Orsay: algebraic geometry WWS
97b:01031 Samuel, Pierre Collected papers of Pierre Samuel.
Vol. I, II. (French) With a preface in English by Paulo Ribenboim.
With an introduction by Lucien Szpiro. Edited by A. J. Coleman and
Ribenboim. Queen's Papers in Pure and Applied Mathematics, 99. Queen's
University, Kingston, ON, 1995. Vol. I: xxx+558 pp.; Vol. II: pp.
i--vi and 559--1089. ISBN: 0-88911-693-8
Sasaki, Shigeo (b. 1912) EDM [last paper in 1980]
87g:01064 Sasaki, Shigeo Selected papers. With a foreword by
Shiing Shen Chern. Edited by Shun-ichi Tachibana. Kinokuniya Company
Ltd., Tokyo, 1985. viii+363 pp
Schatten, Robert (1911-1977) AMWS EDM.
50 #5431 Schatten, Robert Remark on the approximation problem.
Ann. Mat. Pura Appl. (4) 98 (1974), 235--238.
Schunck, Hermann, student of Gaschutz ca. 1966
35 #254 Schunck, Hermann ${\scr H}$-Untergruppen in endlichen
auflösbaren Gruppen. (German) Math. Z. 97 1967 326--330.
Schwartz, Laurent (b.1915)(FER)
83e:01073 Schwartz, Laurent Notice sur les travaux
scientifiques de Laurent Schwartz. (French) [Notice about the
scientific works of Laurent Schwartz] Mathematical analysis and
applications, Part A, pp. 1--25, Adv. in Math. Suppl. Stud., 7a,
Academic Press, New York-London, 1981
[Bio now at St Andrews]
Selberg, Atle (b.1917) WWS, AMWS; number theorist, Fields medal, Princeton IAS
[Bio now at St Andrews]
Serre, Jean-Pierre (b.1926) Mathematician(!), Fields medalist N20 NAS
96g:01044 1995 Steele Prizes. Notices Amer. Math. Soc. 42
(1995), no. 11, 1288--1292.
87k:01050 Chong, C. T.; Leong, Y. K. An interview with
Jean-Pierre Serre. Math. Intelligencer 8 (1986), no. 4, 8--13
[Bio now at St Andrews]
Shimura, Goro (b. 1930) Princeton number theorist
97k:01066 1996 Steele Prizes. Notices Amer. Math. Soc. 43
(1996), no. 11, 1340--1347
Sidon, Simon (1892-1941) P7b Last publication also has some biog. comments:
8,150i Sidon, S. Über orthogonale Entwicklungen. (German) Acta
Univ. Szeged. Sect. Sci. Math. 10, (1943). 206--253.
Sitnikov, Kirill Aleksandrovich (b. 1926)
88f:01042 Kolmogorov, A. N.; Mal\cprime tsev, A. A.; Novikov,
S. P. Kirill Aleksandrovich Sitnikov (on the occasion of his sixtieth
birthday). (Russian) Uspekhi Mat. Nauk 41 (1986), no. 6(252), 209--210
Smale, Stephen (b.1930) Fields Medal, Berkeley N20 NAS
97k:01057 Shmoys, David B.; Batterson, Steve Karp and Smale
receive National Medals of Science. Notices Amer. Math. Soc. 43
(1996), no. 12, 1524--1528
[Bio now at St Andrews]
Smith, Paul Althaus (1900-1980) ICC AMSci NAS
86i:57002 The Smith conjecture. (English) Papers presented at the
symposium held at Columbia University, New York, 1979
Edited by John W. Morgan and Hyman Bass. Pure and Applied Mathematics, 112.
Academic Press, Inc., Orlando, Fla., 1984. xv+243 pp. ISBN 0-12-506980-4
Sobolev, Sergei Lvovich (1908-1989) Novosibirsk? WWS SMS
92a:01070 Leray, Jean La vie et l'\oe uvre de Serge Sobolev.
(French) [The life and works of Sergei Sobolev] C. R. Acad. Sci. Paris
Sér. Gén. Vie Sci. 7 (1990), no. 6, 467--471
90j:01134 Serge\u\i L\cprime vovich Sobolev. (Russian) Uspekhi
Mat. Nauk 44 (1989), no. 4(268), 5; translation in Russian Math.
Surveys 44 (1989), no. 4, 1
See obit in Notices AMS v 36 (1989) p 853
[Bio now at St Andrews]
Spanier, Edwin Henry (1921-1996) Berkeley topologist AMWS
Memorial, Notices Amer Math Soc 45 (1998) p. 704
[Bio now at St Andrews]
Spencer, Donald Clayton (b. 1912) WWS AMWS NAS
88a:01073 Spencer, Donald C. Selecta. (3 Vol.)
World Scientific Publishing Co., Philadelphia, Pa., 1985. ISBN 9971-978-02-4
Steenrod, Norman Earl, (1910-1971) NAS
42 #5255 Whitehead, George W. The work of Norman E. Steenrod in
algebraic topology: An appreciation. 1970 The Steenrod Algebra and its
Applications (Proc. Conf. to Celebrate N. E. Steenrod's Sixtieth
Birthday, Battelle Memorial Inst., Columbus, Ohio , 1970) pp. 1--10
Lecture Notes in Mathematics, Vol. 168 Springer, Berlin
Stein, Charles Max (b. 1920/03/02: ICC) -- emeritus Stanford statistician NAS
[papers range from 1945 to 1993]
http://www-stat.stanford.edu/people/emeriti.html#stein
Stein, Karl (b. 1913) JDMV93(1991)1-5
53 #7684 Cartan, Henri Sur les travaux de Karl Stein. Schr.
Math. Inst. Univ. Münster (2) Sonderheft 7 (1973), i+35 pp
Steinberg, Robert (b. 1922) UCLA group theorist NAS
Steinberg, Robert Robert Steinberg. Edited and with a
foreword by J.-P. Serre. Collected Works, 7. American Mathematical
Society, Providence, RI, 1997. xx+599 pp. ISBN: 0-8218-0576-2
86m:01068 1985 Steele Prizes awarded at summer meeting in
Laramie. Notices Amer. Math. Soc. 32 (1985), no. 5, 575--579
Suslin, Mikhail Yakovlevich (1894-1919) TUF
91k:00009 {\cyr Pervaya Vserossi\u\i skaya Shkola po
Osnovaniyam Matematiki i Teorii Funktsi\u\i}. (Russian) [First
All-Russian School on the Foundations of Mathematics and the Theory of
Functions] {\cyr Matematicheskie chteniya pamyati M. Ya. Suslina}.
[Mathematical readings in memory of M. Ya. Suslin] Abstracts from the
school held in Saratov, October 16--21, 1989. Edited by L. L. Gromova
and V. A. Molchanov. Saratov. Gos. Ped. Inst., Saratov, 1989. 121 pp.
Igoshin, V. I. Pages from a biography of Mikhail
[] Yakovlevich Suslin. (Russian) Uspekhi Mat. Nauk 51 (1996), no. 3(309),
3--16
Swinnerton-Dyer, Sir (Henry) Peter (Francis) (b. 1927/08/02: ICC)
Arithmetic algebraic geometer at Cambridge/Newton Inst.
[papers range from 1952 to the present]
http://www.dpmms.cam.ac.uk/Staff/P.Swinnerton-Dyer.html
http://fourier.dur.ac.uk:8000/~dma0wmo/photos/swd.html
Tate, John (b.1925) number theorist (Harvard/ Austin TX) NAS
MR96g:01044 1995 Steele Prizes. Notices Amer. Math. Soc. 42
(1995), no. 11, 1288--1292.
Torelli, Ruggiero (1884-1915) P5
97g:01033 Torelli, Ruggiero Collected papers of Ruggiero
Torelli. (Italian) Edited and with a preface by Ciro Ciliberto, Paulo
Ribenboim and Edoardo Sernesi. Queen's Papers in Pure and Applied
Mathematics, 101. Queen's University, Kingston, ON, 1995. xii+224 pp.
ISBN: 0-88911-707-1 (Reviewer: Alessio Corti)
Ulm, Helmut (1908-1975) JDMV82(1980)
90c:01035 Göbel, R. Helmut Ulm: his work and its impact on
recent mathematics. Abelian group theory (Perth, 1987), 1--10,
Contemp. Math., 87, Amer. Math. Soc., Providence, RI, 1989
van Kampen, Egbertus Rudolf (1908-1942)
82h:01040 Two decades of mathematics in the Netherlands. 1920--1940
A retrospection on the occasion of the bicentennial of the Wiskundig
Genootschap. Part I, II.
Edited by E. M. J. Bertin, H. J. M. Bos and A. W. Grootendorst.
Mathematical Centre, Amsterdam, 1978. 379 pp.
[b. 1908/05/28 Antwerp, 1931-1942 at Johns Hopkins, d. 1942/11/02;
article by Singh Varma, information via Grootendorst & TU Delft]
80g:01017 Freudenthal, H.
Topologie in den Niederlanden: das erste Halbjahrhundert. (German)
Nieuw Arch. Wisk. (3) 26 (1978), no. 1, 22--40.
Vekua, Ilya N. (1907-1977)
58 #10158 Bers, Lipman Obituary: I. N. Vekua (1907--1977).
Math. Intelligencer 1 (1978/79), no. 2, 83
Verma, Daya-Nand: retired from Tata institute (math.tifr.res.in)
MSC references is to the 1966 Yale PhD thesis (unpublished) and
derivative publications. He describes himself as the "least-published
well-known mathematician"!
[MGP: PhD 1966 Yale, Jacobson; thesis indicates DOB around 1932]
Vespucci, Amerigo (1451-1512) P2: cartographer after whom America is named!
Villamayor, Orlando Eugenio: K-theorist at Buenos Aires (1923-1998)
[papers range from 1953 to 1994] A bio:
http://www.fundacionkonex.com.ar/ocvillamayor.html Died Feb 1998.
http://www.math.univ-montp2.fr/vaquerias/acto.html
Virasoro, Miguel Angel; quantum theorist, Trieste
http://www.iaea.or.at/worldatom/inforesource/pressrelease/prn11.html
Wall, Charles Terence Clegg (b. 1936) Liverpool topologist WWBS
[Bio now at St Andrews]
Walsh, Joseph Leonard (1895-1973)ICC P7b WWS NAS
50 #12595 Marden, Morris Joseph L. Walsh in memoriam. Bull.
Amer. Math. Soc. 81 (1975), 45--65
48 #10755 Bibliography of Joseph Leonard Walsh. Collection of
articles dedicated to J. L. Walsh on his 75th birthday, I. J.
Approximation Theory 5 (1972), xvii--xxviii
Wentzel, Gregor (1898-1978) P5 P6 AMWS EDM, Physicist last at Univ Chicago NAS
See also International Who's Who, and http://www4.nas.edu (Nat Acad Sci USA)
Picture: http://www.aip.org/history/fall98/yukawa.htm
Witt, Ernst (1911-1991)
94i:01024 Kersten, I. Ernst Witt 1911--1991. (German)
Jahresber. Deutsch. Math.-Verein. 95 (1993), no. 4, 166--180
Yang, Chen Ning ("Frank") (b. 1922) Nobel prize-winning physicist N20
16,432j Yang, C. N.; Mills, R. L. Conservation of isotopic spin
and isotopic gauge invariance. Physical Rev. (2) 96, (1954). 191--195
97a:81003 Li, Bing An; Deng, Yue-Fan Chen Ning Yang. Chen Ning
Yang, 183--197, Internat. Press, Cambridge, MA, 1995
94h:01032 Zhang, D. Z. C. N. Yang and contemporary mathematics.
Math. Intelligencer 15 (1993), no. 4, 13--21
4E. Appeal for help.
I would like to bring this list to a reasonable state of conclusion but am
reaching the limit of my competence and resources. As you read this, please
consider mailing to rusin@math.niu.edu any help you can offer towards
these goals:
1. Provide some minimal data for the following people. What I really
want are full name, years of birth and death, and pointers to any
published or stable electronic biographies. These three are
living and not especially mysterious, but I have not written to them.
Schunck, Hermann (1941~?-....) [I am not sure where he is]
Kan, Daniel M. (1930~?-....)
Verma, Daya-Nand (1932~?-....)
2. When I attach biographical data to a name in the MSC, have I guessed
the right person? (I am perhaps more likely to have made this error
with biographies available at St Andrews). In particular, when a name
appears more than once, do the multiple references refer to the same
person?
3. In many cases, particularly with the youngest people, I have only a
name and dates, together with a source of telegraphic information.
Pointers to longer biographies would be most welcome. Note that
these often appear in the publications of national mathematical
societies when the person receives an award or national scientific
office; such notices are often beyond my ken.
4. Responses to my comments would be most welcome. In particular, any
information that the people I have listed as living have in fact
passed away would be accepted -- but not welcomed!
==============================================================================
5. Chronological listing of 357 names
(-580--520) Pythagoras of Samos [Early dates are of course uncertain]
(-365--300) Euclid of Alexandria
(-287--212) Archimedes of Syracuse
( 200- 284) Diophantus of Alexandria
( 290- 350) Pappus of Alexandria
( 790- 850) al'Khwarizmi, Abu
(1170-1250) Fibonacci, Leonardo
(1451-1512) Vespucci, Amerigo
(1591-1661) Desargues, Girard
(1596-1650) Descartes, René
(1601-1665) Fermat, Pierre de
(1643-1727) Newton, Sir Isaac
(1648-1715) Raphson, Joseph
(1685-1731) Taylor, Brook
(1687-1759) Bernoulli, N (I)
(1690-1764) Goldbach, Christian
(1692-1770) Stirling, James
(1698-1746) Maclaurin, Colin
(1702-1761) Bayes, Thomas
(1707-1783) Euler, Leonhard
(1734-1798) Waring, Edward
(1736-1813) Lagrange, Joseph-Louis
(1746-1818) Monge, Gaspard
(1749-1827) Laplace, Pierre-Simon
(1752-1833) Legendre, Adrien-Marie
(1765-1825) Pfaff, Johann
(1766-1826) Farey, John
(1768-1830) Fourier, Joseph
(1773-1858) Brown, Robert
(1775-1836) Ampère, André
(1777-1855) Gauss, Carl Friedrich
(1781-1840) Poisson, Siméon
(1784-1846) Bessel, Friedrich
(1785-1836) Navier, Claude
(1788-1827) Fresnel, Augustin
(1789-1857) Cauchy, Augustin
(1790-1868) Möbius, August
(1793-1841) Green, George
(1795-1870) Lamé, Gabriel
(1796-1863) Steiner, Jakob
(1797-1886) Saint-Venant, Adhémar de
(1801-1892) Airy, George
(1802-1829) Abel, Niels Henrik
(1803-1855) Sturm, Charles
(1804-1851) Jacobi, Carl
(1805-1859) Dirichlet, Johann Peter Gustav Lejeune
(1805-1865) Hamilton, William Rowan
(1806-1871) De Morgan, Augustus
(1809-1877) Grassmann, Hermann
(1809-1880) Peirce, Benjamin
(1809-1882) Liouville, Joseph
(1811-1832) Galois, Evariste
(1813-1854) Laurent, Pierre
(1814-1897) Sylvester, James Joseph
(1815-1864) Boole, George
(1815-1897) Weierstrass, Karl
(1818-1866) Charles III (Grimaldi)
(1819-1903) Stokes, George Gabriel
(1821-1894) Chebyshev, Pafnuty
(1821-1894) Helmholtz, Hermann von
(1822-1901) Hermite, Charles
(1822-1911) Galton, Francis
(1823-1891) Kronecker, Leopold
(1826-1866) Riemann, G F Bernhard
(1827-1903) Watson, Henry
(1830-1903) Cremona, Antonio
(1831-1879) Maxwell, James Clerk
(1831-1916) Dedekind, Julius Wihelm Richard
(1832-1903) Lipschitz, Rudolf
(1832-1918) Sylow, Peter
(1832-1925) Neumann, Carl
(1833-1902) Fuchs, Lazarus
(1834-1886) Laguerre, Edmond
(1835-1890) Mathieu, Emile Léonard
(1835-1893) Stefan, Josef
(1838-1914) Hill, George
(1838-1922) Jordan, Marie Ennemond Camille
(1839-1866) Roch, Gustav
(1839-1873) Hankel, Hermann
(1842-1891) Lucas, F Edouard
(1842-1899) Lie, Marius Sophus
(1842-1917) Darboux, Jean
(1842-1919) Rayleigh, Lord John
(1843-1921) Schwarz, (Karl) Hermann
(1844-1906) Boltzmann, Ludwig
(1845-1879) Clifford, William
(1845-1918) Cantor, Georg
(1845-1922) Backlund, Albert Victor
(1848-1911) Schubert, Hermann
(1848-1923) Pareto, Vilfredo ** End of first quartile **
(1848-1941) Korteweg, Diederik
(1849-1903) Gegenbauer, Leopold
(1849-1917) Frobenius, Ferdinand
(1849-1925) Klein, Felix
(1850-1891) Kovalevskaya, Sofia
(1851-1935) Schottky, Friedrich
(1852-1925) Frattini, Giovanni
(1852-1927) Burnside, William
(1853-1928) Lorentz, Hendrik
(1853-1928) Schönflies, Arthur
(1854-1912) Poincaré, J Henri
(1854-1917) Veronese, Giuseppe
(1855-1930) Appell, Paul
(1856-1894) Stieltjes, Thomas Jan
(1856-1922) Markov, Andrei
(1856-1927) Runge, Carle
(1856-1941) Picard, Emile
(1857-1918) Lyapunov, Aleksandr
(1858-1947) Planck, Max
(1859-1906) Cesàro, Ernesto
(1859-1919) Hurwitz, Adolf
(1859-1937) Hölder, Otto
(1860-1922) Lerch, Mathias
(1860-1940) Volterra, Vito
(1861-1941) Engel, Friedrich
(1861-1941) Hensel, Kurt
(1862-1937) Macaulay, Francis
(1862-1943) Hilbert, David
(1863-1922) Thue, Axel
(1863-1953) Padé, Henri
(1864-1909) Minkowski, Hermann
(1865-1963) Hadamard, Jacques
(1866-1927) Fredholm, Erik
(1866-1934) DeVries, Gustav
(1866-1942) Tauber, Alfred
(1867-1913) Lauricella, Giuseppe
(1867-1939) Horn, Jakob
(1867-1944) Kutta, Martin
(1869-1942) Hausdorff, Felix
(1869-1951) Cartan, Elie
(1870-1946) Lindelöf, Ernst
(1870-1952) Lidstone, George James
(1871-1939) Epstein, Paul
(1871-1945) Galerkin Boris
(1871-1946) Enriques, Federigo
(1871-1952) Fano, Gino
(1871-1956) Borel, Félix
(1872-1946) Langevin, Paul
(1873-1950) Carathéodory, Constantin
(1873-1950) Hjelmslev, Johannes Trolle
(1874-1932) Baire, René-Louis
(1874-1933) Hartogs, Friedrich
(1875-1941) Lebesgue, Henri
(1875-1941) Schur, Issai
(1876-1975) Montel, Paul
(1877-1947) Hardy, Godfrey H
(1878-1909) Ritz, Walter
(1878-1929) Fatou, Pierre
(1878-1952) Dehn, Max
(1878-1956) Lukasiewicz, Jan
(1878-1973) Fréchet, Maurice
(1879-1934) Hahn, Hans
(1879-1955) Einstein, Albert
(1880-1956) Riesz,Frigyes [or is it Riesz, Marcel (1886-1969)?]
(1880-1968) Bernstein, Sergei Natanovich
(1880-1975) Perron, Oskar
(1881-1940) Toeplitz, Otto
(1882-1935) Noether, Emmy
(1882-1965) Jacobsthal, Ernst Erich
(1882-1974) Moore, Robert Lee
(1883-1960) Bell, Eric Temple
(1884-1915) Torelli, Ruggiero
(1884-1943) Helly, Eduard
(1884-1972) Lefschetz, Solomon
(1884-1974) Denjoy, Arnaud
(1885-1933) Haar, Alfréd
(1885-1945) Kaluza, Theodor
(1885-1955) Weyl, Hermann
(1885-1962) Blaschke, Wilhelm
(1885-1977) Littlewood, John E
(1885-1981) Norlund, Niels Erik
(1887-1947) Hecke, Erich
(1887-1956) Radon, Johann
(1887-1961) Schrödinger, Erwin
(1887-1972) Fokker, Adriaan Daniel
(1887-1974) Nikodym, Otto Martin
(1888-1941) Hammerstein, Adolf
(1888-1946) Jackson, Dunham
(1889-1914) Gateaux, René ** midpoint **
(1889-1946) Daniell, Percy John
(1889-1969) Brillouin, Leon Nicholas
(1892-1941) Sidon, Simon
(1892-1945) Banach, Stefan
(1892-1975) Kunneth, Hermann
(1892-1977) Morse, Harald Marston
(1893-1939) Gordon, Walter
(1893-1948) Bloch, André
(1893-1960) Cech, Eduard
(1893-1971) Reidemeister, Kurt
(1894-1919) Suslin, Mikhail Yakovlevich
(1894-1952) Kramers, Hendrik Anthony
(1894-1964) Wiener, Norbert
(1894-1970) Finsler, Paul
(1894-1971) Hopf, Heinz
(1895-1941) Reinhardt, Karl
(1895-1961) Barbilian, Dan
(1895-1973) Walsh, Joseph Leonard
(1895-1977) Bergman, Stefan
(1895-1980) Nevanlinna, Rolf
(1895-1981) Burgers, Johannes Martinus
(1896-1934) Prüfer, Ernst
(1896-1981) Siegel, Carl
(1896-1982) Aleksandrov, Pave
(1897-1942) Saks, Stanislaw
(1897-1954) Post, Emil
(1897-1965) Maeda, Fumitomo
(1897-1979) Weinstein, Alexander
(1898-1924) Urysohn, Pavel
(1898-1957) Rossby, Carl-Gustaf
(1898-1962) Artin, Emil
(1898-1978) Wentzel, Gregor
(1898-1980) Heyting, Arend
(1899-1968) Ore, Oystein
(1899-1971) Krull, Wolfgang
(1899-1980) Grobner, Wolfgang
(1900-1967) Nemytskii, Viktor Vladimirovich
(1900-1968) Kloosterman, Hendrik Douwe
(1900-1980) Smith, Paul Althaus
(1900-1981) Ljusternik, Lazar Aronovich
(1900-1992) Zygmund, Antoni
(1900-1998) Ising, Ernst
(1901-1977) Brauer, Richard
(1902-1983) Hopf, Eberhard
(1902-1984) Dirac, Paul
(1902-1984) Petersson, Hans
(1902-1995) Wigner, Eugene
(1903-1930) Ramsey, Frank
(1903-1957) von Neumann, John
(1903-1975) Hodge, William
(1903-1976) Onsager, Lars
(1903-1987) Kolmogorov, Andrej Nikolajevich
(1903-1989) Stone, Marshall
(1903-1990) Orlicz, Wladyslaw
(1903-1990) de Rham, Georges
(1904-1960) Whitehead, Henry
(1905-1994) Busemann, Herbert
(1905-....) Nikolskii, Sergei Mickhailovich
(1905-1938) Schnirelman, Lev
(1905-1989) Kothe, Gottfried
(1905-1996) Franz, Wolfgang
(1906-....) Bethe, Hans
(1906-2000) Kahler, Erich
(1906-1938) Fitting, Hans
(1906-1968) Gelfond, Aleksandr
(1906-1978) Gödel, Kurt
(1906-1993) Zorn, Max
(1906-1998) Weil, André
(1907-2003) Coxeter, Donald
(1907-1933) Paley, Raymond
(1907-1940) Martin, Robert Samuel
(1907-1977) Vekua, Ilya N.
(1907-1980) Aronszajn, Nachman
(1907-1989) Krein, Mark Grigorevich
(1908-1989) Sobolev, Sergei L.
(1908-1942) Vankampen, Egbertus Rudolf
(1908-1975) Ulm, Helmut
(1909-2005) MacLane, Saunders
(1909-2002) Neumann, Bernhard
(1909-1967) Malcev, Anatoly
(1910-....) Ditkin, Vitalii A.
(1910-1999) Jacobson, Nathan
(1910-1971) Steenrod, Norman Earl
(1910-1976) Turán, Paul
(1911-2004) Chern, Shiing-shen
(1911-1977) Schatten, Robert
(1911-1991) Witt, Ernst
(1911-1995) Chow, Wei-Liang
(1912-....) Sasaki, Shigeo ** end of third quartile **
(1912-2002) Spencer, Donald Clayton
(1912-1954) Turing, Alan
(1912-1975) Brewer, Burns W.
(1912-1982) Milman, David
(1912-1985) Krasner, Marc
(1913-1990) Bockstein, Meyer
(1913-....) Gelfand, Israel M.
(1913-....) Stein, Karl
(1913-1943) Teichmüller, Paul
(1913-1987) Mikusinski, Jan
(1913-1996) Erdös, Paul
(1913-1998) Eilenberg, Samuel
(1914-1971) Neumann, Hanna
(1914-1993) Bers, Lipman
(1915-....) Choquet, Gustave
(1915-....) Hochschild, Gerhard P
(1915-2002) Schwartz, Laurent
(1915-1995) Morita, Kiiti
(1916-....) Mackey, George
(1916-2001) Shannon, Claude
(1917-....) Eckmann, Beno
(1917-....) Higman, Graham
(1917-1998) Iwasawa, Kenkichi
(1917-....) Selberg, Atle
(1917-1955) Cohen, Irvin Sol
(1918-....) Rees, David
(1918-1988) Feynman, Richard
(1920-....) Azumaya, Goro
(1920-....) Goldie, Alfred W
(1920-....) Massey, William
(1920-....) Stein, Charles M.
(1920-1998) Calderon, Alberto
(1921-....) Gale, David
(1921-....) Samuel, Pierre
(1921-1996) Spanier, Edwin Henry
(1922-....) Lashof, Richard Kenneth
(1922-1999) Mills, Robert Leroy
(1922-....) Steinberg, Robert
(1922-....) Yang, Chen Ning ("Frank")
(1923-....) Bott, Raoul
(1923-....) Hilton, Peter
(1923-....) Moore, John Coleman
(1923-1992) Gorenstein, David
(1923-1998) Villamayor, Orlando Eugenio
(1924-....) Salpeter, Edwin Ernst
(1925-....) Malliavin, Paul
(1925-....) Potts, Renfrey B.
(1925-....) Tate, John
(1926-....) Serre, Jean-Pierre
(1926-....) Sitnikov, Kirill Aleksandrovich
(1926-1994) Auslander, Maurice
(1927-....) Helson, Henry
(1927-....) James, Willard Donald
(1927-....) Machlup, Stefan
(1927-2004) Postnikov, Mikhail M
(1927-....) Swinnerton-Dyer, Peter
(1928-....) Grothendieck, Alexander
(1928-....) Nash, John Forbes
(1928-....) Popov, Vasile-Mihai
(1929-....) Buchsbaum, David
(1929-....) Dyer, Eldon
(1930-....) Kleisli, Heinrich
(1930-....) Maslov, Victor P
(1930-....) Shimura, Goro
(1930-....) Smale, Stephen
(1930-1989) Adams, Frank
(1930~?-....) Kan, Daniel M.
(1931-....) Birch, Bryan J
(1931-....) Milnor, John
(1931-....) Regge, Tullio
(1932~?-....) Verma, Daya-Nand
(1936-....) Anosov, Dmitirii Viktorovich
(1936-....) Kirillov, Alexandre Alexandrovich
(1936-....) Langlands, Robert
(1936-....) Wall, Charles Terence Clegg
(1938-....) Karoubi, Max
(1939-....) Baker, Alan
(1939-....) Fuks, Dmitri Borisovitch
(1940-....) Gersten, Steve
(1940-....) Martin, Donald A.
(1940-....) Virasoro, Miguel Angel
(1941-....) Moody, Robert
(1941~?-....) Schunck, Hermann
(1942-....) Reiten, Idun
(1943-....) Gromov, Mikhael
(1943-....) Kac, Victor
(1947-....) Arakelov, Suren Ju.
(1948-....) Kasparov, Gennadi G
(1954-....) Drinfeld, Vladimir
==============================================================================
For James (and 'ridge') see the 1999 sci.stat.math thread
http://www.mathforum.org/epigone/sci.stat.math/phimplilchol
------------------------------------------------------------------------------
J.R.Partington wrote in 2002:
> "L" in "L^p-spaces" or "H" in "H^p" (46B20) or "K" in "K-theory", "K_0",
L is Lebesgue, H is G.H. Hardy (they are also called Hardy spaces).
The "C" in C^* algebras?
The third letter of the alphabet. There are also things called A*
algebras and B* algebras.
[...]
> There were two Riesz brothers, M. and F. (with a joint paper!); I'm not sure
> to which brother(s?) these MSC names refer:
> * 06F20 Ordered abelian groups, Riesz groups, ordered linear spaces,
> See also {46A40}
Don't know.
> * 42A55 Lacunary series of trigonometric and other functions; Riesz
> products
This is F. Riesz (the more important one).
> * 47B06 Riesz operators; eigenvalue distributions; approximation
> numbers, $s$-numbers, Kolmogorov numbers, entropy numbers, etc. of
> operators
This is F. Riesz too.
[...]
> Schunck, Hermann (1941~?-....)
Google finds lots of references to him. He apparently works
for the German federal ministry of education and research.
------------------------------------------------------------------------------
Garry Tee wrote in 2004:
4A. The Bernoulli numbers were developed not by Nicolaus 2nd
(1687-1759), but by his uncle Jakob 1st (1654-1708, published 1713).
Translated into English by Jekuthiel Ginsburg, in D. E. Smith
(editor), "A Source Book In Mathematics", 1929, 85-90. (Dover reprint
in 2 volumes, 1959.)
Lazar' Aronovich Lyusternik (1899-12-31 to 1981) did
indeed work in topology as well as in numerical analysis, plus
geometry, history of mathematics etc. etc. ("Matematika v SSSR", tome
4, book 2, p.592).
J. C-F Sturm (Liouville's friend & colleague) did indeed
discover Sturm sequences. T. H. Huxley had expressed unenthusiastic
views about mathematics as a science. His friend J. J. Sylvester
retorted that "Most, if not all, of the great ideas of modern
mathematics have had their origin in observation. Take, for instance
. . . Sturm's theorem about the roots of equations, which, as he
informed me with his own lips, stared him in the face in the midst of
some mechanical investigations connected (if my memory serves me
right) with the motion of compound pendulums". [J. J. Sylvester, A
plea for the mathematician, NATURE v.1 (1869), pp.237-238. Reprinted
in his Collected Papers, v.2, pp. 655-656.]
5. No precise dates are known for Pythagoras or Euclid.
Neither Diophantus nor Pappus can reliably be fixed closer than +1st
to +5th centuries. The birthdate of al'Khwarizmi can only be
estimated.
------------------------------------------------------------------------------
Suren Arakelov is perhaps one of the more elusive figures in the list.
I have had several correspondences with people who have reported parts
of his biography, not all of it designed for public consumption.
Here are a couple of general messages:
Message-Id: <199906061040.MAA10183@hesione>
Date: Sun, 6 Jun 1999 12:40:49 +0200
From: "Yuri I. Manin"
Subject: Re: Message for Manin
1) Here is a short CV of Arakelov:
Name: ARAKELOV Suren Yurievich
Born: October 16, 1947, in Kharkov.
Education: Math. Department of Moscow University, 1965-1971.
Graduate studies: Steklov Math. Institute, 1971 - 1974,
advisor I.R.Shafarevich.
Defense of PhD: 1975, Steklov.
Job: junior researcher at the Institute of Oil and Gas, Moscow,
1975 - 1979.
Publications: the three papers listed in Rusin's message.
2) Since 1979, Arakelov quit mathematics and
public life in general because of schizophrenia.
It has its ups and downs. Friends, including Tyurin, visit
him from time to time.
3) Arakelov had a very sharp mathematical mind
and before his incurable condition prevailed,
was an active member of our seminars.
He attended some of my courses. In "Collected Works
of Yu. I. Manin" published by World Scientific, 1996,
on page 565 you can find his drawing.
It was taken from his handwritten lecture notes of my course
dedicated to Mumford's paper "On the equations
defining Abelian varieties".
Best,
Yu. Manin.
Message-Id: <200203282039.g2SKdwPJ017455@newserv.otenet.gr>
Date: Thu, 28 Mar 2002 12:43:10 -0800
From: "Antreas P. Hatzipolakis"
Cc: rusin@math.niu.edu, a_arakelov@yahoo.co.uk
To: hyacinthos@yahoogroups.com
Subject: Suren Arekelov
This list is devoted to Triangle Geometry.
However, from time to time, will be allowed discussions
on themes of general interest.
Especially when the geometric traffic is not too much.
(like this day).
Some time ago I asked for information (in fact I FWD-ed an e-mail
of D. Rusin) about a notable mathematician who disappeared from
the math. horizon. The mathematician is the algebraic geometer
Suren Arakelov.
Andrei Arakelov has kindly sent the following:
>
> Date: Thu, 28 Mar 2002 11:29:55 +0000 (GMT)
> From: Andrei Arakelov
> Subject: Suren Arakelov
> To: Antreas P. Hatzipolakis
>
> Hi, Antreas!
>
> Here is some information, that Suren gave me to be
> sent to you:
> born 16 October 1947 in Kharkiv (Ukrainia in that time
> that was USSR republic).
> 1965-1971 Moscow State University, Faculty of
> mechanics and mathematics:
> http://www.msu.ru/english/info/struct/facult/mechmath.html
> Now I have to explain you our education system: after
> graduating from university, you can continue your
> study. And that is made in 2 steps in order to get
> Ph.D (actually I am not sure it is equivalent to
> european Ph.D, but we call it Doctor of Science). So,
> the first step is getting "candidate", that can take
> normally from 3 years, you have to make some research
> and attend some courses, and some publications (I
> might miss smth). The second part is "Doctor" and as
> far as I remember does not require any courses to be
> attended, but demand more publications, research and I
> do not even know what else. It take few years as well.
> So From 1971 he studied his "candidate" at Steklov
> Mathematical Institute
> (http://www.ras.ru/local.docs/mian/mian.html )
> And in 1975 defended dissertation and got his
> "candidate of physics-math science". I am afraid you
> have to talk to someone, who is more familiar with all
> these terms.
> Now he lives in Moscow, he has wife, 1 son and 2
> daughters, 2 grandchildren. He is now not involved in
> any mathematics research.
>
> That is all he gave me. Not very much :( Unfortunately
> I failed to arrange my trip to Moscow, so I won't see
> him.
>
>
> Regards, Andrei
------------------------------------------------------------------------------
[I asked again in the newsgroups about some of these lettered names]
From: rusin@vesuvius.math.niu.edu (Dave Rusin)
Newsgroups: sci.math
Subject: Re: Reason for the Center of the Circle??
Date: 5 Feb 2005 04:12:59 GMT
[...]
When we describe a space as "E^3" it's clear (?) that the letter was
chosen to honor Euclid. The KdV equations are named after Korteweg
and de Vries. The spaces known today as Banach spaces were, I'm told,
at first named "B-spaces" by Banach himself, perhaps hoping that
someone would take the hint and name the spaces after him. (Evidently
L^p spaces refer to Lebesgue and H^p to Hardy; BMO spaces, however,
are not named after people at all but rather Bounded Mean Oscillations.)
But there are other letters in use in mathematics which might, for all
I know, refer to people or concepts, but I have never known for sure.
Here's a list of them from when last I looked at this. Does anyone
know whether the letters refer to anything or anyone in particular?
What is the "C" in C^* algebras?
[...]
------------------------------------------------------------------------------
From: Robin Chapman
Date: Sat, 05 Feb 2005 11:35:53 +0000
Message-ID:
> Why is "K-theory" given a "K"? (It had to happen that there came to be
> "L-theory"; now there's "M-theory" too but I think that's different.)
There's also KK-theory (but fortunately not KKK-theory).
> Is the "q" in the "q-calculus" of combinatorics a refence to all the q's
> in quantum groups (or quantum whatevers)?
It long predates quantum groups.
------------------------------------------------------------------------------
From: lrudolph@panix.com (Lee Rudolph)
Date: 5 Feb 2005 07:49:26 -0500
>Why is "K-theory" given a "K"?
In the late 1960s I was told it was the terminal (_vice_ initial)
of "Grothendieck". But I was told a *lot* of things in the late 1960s.
> What are BN pairs?
The B is surely Borel, and I once knew who N was but have forgotten.
A "group with a BN pair" is formally similar to an algebraic group
with a pair consisting of a Borel subgroup and a...? Aha! "N"
stands for "normal" (so I was wrong, I never knew anyone normal),
and (as MR reminds me) the phrase was coined by Tits. See
Tits, J. Algebraic and abstract simple groups. Ann. of Math.
(2) 80 1964 313--329.
> CR-manifolds?
Cauchy-Riemann. A CR structure on an odd-dimensional manifold
is an abstraction of some of the structure induced on real hypersurface
in a complex manifold by the complex structure. I actually knew
this (though I'd forgotten what the definition is), but am pleased
to be able to cite Greenfield, S. J., Cauchy-Riemann equations in
several variables. Ann. Scuola Norm. Sup. Pisa (3) 22 1968 275--314,
the MR review of which strongly sugggests that Greenfield (or
maybe Nirenberg, the reviewer) coined the usage.
------------------------------------------------------------------------------
From: jdolan@math-cl-n03.math.ucr.edu (James Dolan)
Date: Sat, 5 Feb 2005 20:42:39 +0000 (UTC)
|> What are BN pairs?
not knowing much about the actual history of the situation, i would
probably have guessed that the n stands for "normalizer" rather than
"normal"; i think that the subgroup n is the normalizer of the
"maximal torus" inside the whole group.
------------------------------------------------------------------------------
From: Jim Spriggs
Date: Sun, 6 Feb 2005 15:12:24 +0000 (UTC)
> What's a BCK- or BCI-algebra (06F35), for example?
These are, I think, the Lindenbaum algebras of two logical calculi
invented by C A Meredith in the 1950s.
The rules are modus ponens and substitution, and the axioms are for BCK:
B: (q -> r) -> ((p -> q) -> (p -> r))
C: (p -> (q -> r)) -> (q -> (p -> r))
K: p -> (q -> p).
BCI has, in place of K, I: p -> p.
A N Prior, Formal Logic, corrected second edition, Oxford, 1973, writes
that Meredith "following certain combinatory logicians" named his axioms
after the combinators B, C, K and I.
What is the connection with Sch\"onfinkel's combinatory logic which has:
Ix = x
Kxy = x ?
Curry) has
Bxyz = x(yz) where Sch\"onfinkel has Zxyz = x(yz)
and
Cxyz = xzy the connection with axiom C above is clear.
So, "I" for "identity" and "C" for "commutativity", but "B" and "K"?
------------------------------------------------------------------------------
From: mjtg@cus.cam.ac.uk (M.J.T. Guy)
Date: 7 Feb 2005 19:38:40 GMT
>So, "I" for "identity" and "C" for "commutativity", but "B" and "K"?
Much early work on combinatory logic was in German, and the names
were German. In particular, "K" stands for constant in German,
since K applied to an argument yields the constant function with that
value. Offhand I don't remember what "B" stands for.