John A. Beachy
Professor of Mathematical Sciences
Distinguished Teaching Professor
Department of Mathematical Sciences
Northern Illinois University
DeKalb, IL 60115
email:
beachy@math.niu.edu
|
telephone: (815) 753-6753
My
faculty page
|
My
schedule
For my students (Spring 2008)
MATH 521,
Algebraic Structures I, 10:00-10:50 MWF, DuSable 240
Courses I have taught in
previous semesters
General information for math students
Study Guide
for Abstract Algebra, 3rd Ed. (in revision)
OnLine Study Guide
for Abstract Algebra, 2nd Ed.
MATH 420 / 421,
Algebra I, II
|
MATH 520 / 521,
Algebraic Structures I, II
|
Algebra
at NIU
Abstract Algebra OnLine
About my books
Introductory Lectures on Rings and Modules, Cambridge University Press
|
Class Notes
Abstract Algebra,
3rd Ed, Waveland Press, co-authored with Bill Blair
|
Study Guide
Abstract Algebra,
2nd Ed, Waveland Press, co-authored with Bill Blair
|
OnLine Study Guide
Abstract Algebra with a Concrete Introduction,
Prentice-Hall, co-authored with Bill Blair
Research interests
My research studies noncommutative rings,
from the point of view of their categories of modules.
I am primarily interested in extending localization techniques
from the commutative to the noncommutative case.
One approach studies injective modules and quotient categories.
A second and rather different approach uses the
universal localization at a prime ideal.
Some
publications,
available in pdf and/or postscript format.
|
List of publications
A
comprehensive list
of ring theorists is maintained by Allen Bell.
References on the topic of
noncommutative geometry.
Teaching
Here
is my page related to teaching.
Math in the Media
(look for the "News" column on this page from the American Math Society)
Personal interests
I have an interest in international education,
since I attended
Woodstock School
(Class of '60),
and
Goshen College.
I did my graduate work at
Indiana University,
and have been a visitor at
McGill University,
University of London
(Bedford College),
the University of Washington,
Math Dept,
and
the University of Glasgow,
Math Dept.
International sites:
Woodstock news;
India news;
Ranchi, Jharkhand.
Tennis sites:
USTA,
USTA - Northern Illinois District,
USPTA,
ESPN,
CNN,
TENNIS WORLDWIDE,
and
tennisserver.