Algebra Group
Permanent Faculty
| Brian D. Boe | Professor Ph.D. Yale University 1982 Representation theory of algebraic groups and Lie algebras |
| Leonard Chastkofsky | Associate Professor Ph.D. Yale University 1978 Representations of finite groups |
| William A. Graham | Professor Ph.D. Massachusetts Institute of Technology 1992 Geometry and representation theory |
Daniel Krashen |
Assistant Professor Ph.D. University of Texas at Austin 2001 Non-commutative algebra, algebraic geometry |
| Daniel K. Nakano | Distinguished Research Professor Ph.D. Yale University 1990 Representation and cohomology theory of algebraic groups |
Lisa Townsley |
Academic
Professional Ph.D. Northwestern University 1987 Cohomology of finite groups |
Emeritus Faculty
| Jon F. Carlson | Distinguished Research Professor
Emeritus Ph.D. University of Virginia 1967 Group representations and cohomology |
Kenneth D. Johnson |
Professor Ph.D. University of California, Berkeley 1968 Representation theory of Lie groups |
Postdoctoral Associates
| Christopher Drupieski |
VIGRE Postdoctoral Fellow Ph.D. University of Virginia 2009 Representation and cohomology of algebraic/quantum groups |
| Niles Johnson |
VIGRE Postdoctoral Fellow Ph.D. University of Chicago 2009 Algebraic Topology |
The algebra group has a vibrant training program for graduate students and postdoctoral fellows.
The algebra group has sponsored three NSF Postdoctoral Fellows: Wayne Wheeler (1996-98), David Hemmer (2001-03) and Jonathan Kujawa (2003-07). If you interested in applying to the Department of Mathematics at UGA for graduate studies or a postdoc, please do not hestitate to contact one of our faculty members.
Click here to see a list of Ph.D students and postdoctoral fellows (current and former).
Weekly Seminars (Fall 2011)
All seminars are held in the Boyd Graduate Studies Research Center.
Algebra
Monday, 3:30p.m., Room 323
VIGRE Algebra
Since Fall 2003 Brian Boe, Daniel Nakano and David Benson (replaced by Leonard Chastkofsky in Fall 2005) have organized a VIGRE Algebra Seminar and working research group. The topics for 2003-04 were conjugacy classes of nilpotent matrices via cohomology and representation theory, and support varieties for Lie algebras. The topic for 2004-05 was support varieties for symmetric groups. The topic for 2005-08 was cohomology of Lie algebras. The topic for 2009-11 is low-degree cohomology of finite Chevalley groups. As of September 2010, the group has three papers published in Journal of Algebra, a fourth in Contemporary Mathematics, a fifth paper in the Proceedings of the AMS, and a sixth in preparation. More information on the VIGRE Algebra Group's activities in 2003-10 is available here.
This week's departmental seminar schedule
Further Information
In Summer 2009, Lenny Chastkofsky ran an REU on Graphs, Root Systems and Cohomology.
David Benson (currently at the University of Aberdeen, and a former Distinguished Research Professor in our group) has compiled a useful archive of preprints on representations and cohomology.
Brian Boe maintains a list of representation theorists with home pages and links to their arXiv preprints.
Check out this month's arXiv preprint postings in: Representation Theory; Quantum Algebra; Rings & Algebras; Algebraic Topology; and Algebraic Geometry. Members of our group have published in all of these areas, and more!
If you are interested in graduate studies in algebra, and you would like further information on our group, please contact any of us, or check out our Graduate Program website.
