I am an Assistant Professor in the Department of Mathematics at Louisiana State University. I completed my Ph.D. thesis in 2001 at MIT under the supervision of David Vogan. My research deals with the geometry and combinatorics of objects arising in the representation theory of algebraic groups. Some of my specific interests include derived categories of coherent sheaves; character sheaves and the Springer correspondence; and complex reflection groups and generalizations of Hecke algebras.

Fall 2009 Teaching

• Math 2057 Multidimensional Calculus
  syllabus | WeBWorK
• Math 7290 Representations of Finite-Dimensional Algebras
  syllabus | Problem Sets: 1 2 3 4

Papers

All my papers are available on my research page. Here are the most recent ones:

• [pdf] Springer theory for complex reflection groups
• [pdf] Introduction to staggered sheaves
• [pdf] (with A.-M. Aubert) Localisation de faisceaux caractères

Also available is an implementation of the generalized Lusztig–Shoji algorithm:    GAP source | manual

Lectures on Perverse Sheaves

• Spring 2007 graduate course at LSU:    lecture notes  |  exercises  |  quick reference
• Spring 2009 mini-course at the Newton Institute:    videos: 1 2 3 4 5  |  exercises

Ph.D. Students

• Jared Culbertson
• Myron Minn-Thu-Aye
• Amber Russell

Other Information

• The LSU Algebra Seminar.
• My mathematical genealogy, from the Mathematics Genealogy Project.
• My curriculum vitæ (updated February 2009).
• Pallavi Dani's webpage.