The following list describes  recent manuscripts. The .dvi files are
provided.

iso.dvi         M.A. Bean and J.L. Thunder, "Isoperimetric Inequalities
                for Volumes Associated with Decomposable Forms", to
                appear in J. of London Math. Society. Upper bounds are
                given for a certain explicit function of the discriminant and
                a corresponding volume in n-space for arbitrary 
                decomposable forms in n variables with complex coefficients.
                The bounds are proven to be sharp.

slemma.dvi      D. Roy and J.L. Thunder, "A Note on Siegel's Lemma for Number
                Fields", to appear in Monatsh. Math. A partial converse to
                Siegel's lemma (as formulated by Bombieri and Vaaler) is
                proven.


absl.dvi        D. Roy and J.L. Thunder, "An Absolute Siegel's Lemma", to appear
                in Crelle's Journal. A version of Siegel's lemma over an 
                algebraic closure of Q or any function field in one variable is 
                proven.

silb.dvi        D. Roy and J.L. Thunder, "Bases of Number Fields of Small
                Height", to appear in the proceedings of the Symposium in 
                Honor of W. Schmidt (Rocky Mountain J. Math.). 
                Upper bounds are given for
                the smallest height of a basis for any number field (viewed 
                as a vector space over Q) in terms of the discriminant of
                the field. The estimates are shown to be sharp for totally
                real fields and imaginary quadratic fields.

mink.dvi        J.L. Thunder, "Remarks on Adelic Geometry of Numbers", preprint
                (1995). A simple proof is given for the "adelic" version of
                Minkowski's convex bodies theorem and Siegel's lemma that
                uses only Minkowksi's original theorem and Vaaler's original
                cube-slicing inequality.

mh.dvi          J.L. Thunder, "An Adelic Minkowski-Hlawka Theorem and an
                Application to Siegel's Lemma", to appear in Crelle's journal. 
                The title tells it all. The application to Siegel's lemma 
                yields a much more precise result than that obtained in the 
                paper slemma.dvi above.

ind.dvi         J.L. Thunder and J. Wolfskill, "Algebraic Integers of Small
                Discriminant", to appear in Acta Arithmetica. 
                Upper bounds are given for
                indices of algebraic integers in terms of the degree and
                discriminant of the field they generate.