Welcome

I'm a new assistant professor at the University of Georgia. I'm part of the algebra research group.

My research lies in an area of algebra called geometric  representation theory. I enjoy thinking about categories of perverse and coherent sheaves related to Lie theoretic data. Some keywords related to things I've been thinking about include affine Grassmannian, affine flag manifold, exotic sheaves on the Springer resolution, generalized Springer correspondence, geometric Satake, Lusztig's character sheaves, modular representation theory, and Whittaker sheaves.. 

I completed my Ph.D (08.09.13) under the direction of Pramod Achar at Louisiana State University. My thesis work involved proving formality for the Springer block of (constructible) sheaves on the nilpotent cone. This required the construction of a suitable mixed version of the (equivariant, l-adic) category of sheaves on the nilpotent cone. You can find a copy of my thesis here.

 

Upcoming Conferences:

 

Papers:

Formality for the nilpotent cone and a derived Springer correspondence, Adv. Math. 235 (2013), 208-236. 
arXiv 1206.4343

(with P. Achar) Parity Sheaves on the Affine Grassmannian and the Mirković–Vilonen Conjecture, Acta Math. 215, no. 2 (December 2015), 183-216.
arXiv 1305.1684

(with P. Achar, and an appendix joint with S. Riche) The affine Grassmannian and the Springer resolution in positive characteristic,  Compos. Math. 152 (2016), no. 12, 2627-2677.
arXiv 1408.7050

(with A. Russell) Perverse Sheaves on the Nilpotent Cone and Lusztig's Generalized Springer Correspondence, in Lie algebras, Lie superalgebras, vertex algebras and related topics, 273-292, 
Proc. Sympos. Pure Math., 92, Amer. Math. Soc., Providence, RI, 2016.
arXiv 1409.7132

(with A. Russell) Formality and Lusztig's generalized Springer correspondence,
arXiv 1708.07783

 

 

Because everyone needs some poetry in their life: