Department of Mathematics  Illinois State University
email: gfseeli@ilstu.edu

My faculty
page
MAT 236, Elementary Abstract Algebra  Spring 2012
Math 407, Abstract Algebra, Spring 2010
Math 175, Elementary Linear Algebra, Fall 2010
Math 236, Elementary Abstract Algebra, Fall 2008
Links to the Undergraduate Programs and Graduate Programs offered by the Department of Mathematics at ISU.
For information about different fields of mathematics and how they are related, explore the Math Atlas website.
For some information about the history of mathematics, try the MacTutor History of Mathematics Archive maintained at St. Andrews University.
For some interesting information and links about abstract algebra, try John Beachy's Algebra I and II Page.
Lecture Notes on Fields in Postscript format or PDF format.
(NOTE: These notes are not intended to be comprehensive and are not guaranteed
to be errorfree. Be careful of typos. I would appreciate these typos being
pointed out to me via email or in
person.)
My research interests started with moduli problems that come up in ring theoretic settings. I have done some work with the local properties of the trace ring of generic matrices and I am interested in the geometric properties of the variety of matrix invariants. In my study of the local properties of the trace ring, I have examined some of the properties of the BrauerSeveri scheme of central localizations of the trace ring. Later, this work involved viewing BrauerSeveri schemes of finitely generated algebras over commutative rings as schemes defined by semiinvariants of an algebraic group action.
More recently, I have also done some work studying partitioning nonzero elements of finite vector spaces into subspaces. This has resulted in a series of publications, the most recent of which explores the concept of a kfold partition.
List of some publications
A comprehensive list of ring theorists maintained by Allen Bell.
The New York Times on the WEB.
Dilbert comics.
.