Department of Mathematics | Illinois State University

George F. Seelinger

Department of Mathematics
Campus Box 4520
Illinois State Univerisity
Normal, IL 61790-4520
(309) 438 - 8781

email: |
My faculty page



Information for students

MAT 236, Elementary Abstract Algebra - Spring 2012

MAT 175, Spring 2011

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.

What can you do with a Math Degree?  Check out Mathematical Assoc of America's Career Information Site.

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 error-free. Be careful of typos. I would appreciate these typos being pointed out to me via e-mail or in person.)


Research interests

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 Brauer-Severi scheme of central localizations of the trace ring. Later, this work involved viewing Brauer-Severi schemes of finitely generated algebras over commutative rings as schemes defined by semi-invariants 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 k-fold partition.

List of some publications

A comprehensive list of ring theorists maintained by Allen Bell.

Other Stuff

The New York Times on the WEB.

The Irish Times

Dilbert comics.