|
Eric Sommers, Associate Professor |
 |
|
|
| Personal Webpage |
|
| Office | LGRT 1223K | | Phone | (413) 545-6013 | | Fax | (413) 545-1801 | | Email | esommers <at> math.umass.edu | |
| Mailing Address |
| Department of Mathematics and Statistics |
| Lederle Graduate Research Tower |
| University of Massachusetts |
| Amherst, MA 01003-9305 |
|
|
| Office Hours: Tues 2:30-4 and Wed 3-4 in LGRT 1223K |
|
|
|
| Education | | Ph.D. | Massachusetts Institute of Technology, 1997 |
|
| | B.S. | Brown University, 1993 |
|
|
|
| Research Interests: My work involves studying the properties of reductive algebraic groups. Algebraic groups
are groups equipped with the Zariski topology such that the multiplication and inverse maps
are maps of varieties. They behave like Lie groups, except that there is the freedom to work over any field.
Specifically, I study the objects that arise when trying to understand
the representation theory of algebraic groups,
especially nilpotent orbits and affine Weyl groups.
Recently I have been thinking about the connection between nilpotent orbits,
Borel-stable ideals in the nilradical, Kazhdan-Lusztig cells, and certain duality maps. |
|
|
|
| Selected Publications |
| Equivalence classes of ideals in the nilradical of a Borel subalgebra, Nagoya Journal of Math (in honor of George Lusztig), 183 (2006), 161--185. |
|
| Normality of nilpotent varieties in E_6, Journal of Algebra,270 (2003), no. 1, 288-306 |
|
| Lusztig's canonical quotient and generalized duality, Journal of Algebra, 243 (2001), 790-812. |
|
| A generalization of the Bala-Carter theorem, I.M.R.N. (1998), no. 11, 539-562. |
|
