Here is my CV. I can be contacted at
`rsvirk[at]gmail[dot]com`.

**Writing**

(versions of most of the documents below can also be found on the arXiv)

- Some geometric facets of the Langlands correspondence for real groups

- On Hall-Littlewood polynomials
- Graded tensoring and crystals
- Extensions of Verma modules
- A remark on braid group actions on coherent sheaves,

to appear in Osaka J. of Math. - Affine and degenerate affine BMW algebras: actions on tensor space,

with Z. Daugherty and A. Ram, Selecta Math.**19**, Issue 2 (2013), 611-653. - Affine and degenerate affine BMW algebras: the center,

with Z. Daugherty and A. Ram, to appear in Osaka J. of Math. - On the geometric Hecke algebra,

Enveloping Algebras and Geometric Representation theory, Oberwolfach Reports**9**, Issue 1 (2012). - A note on Hecke patterns in Category O
- A remark on some bases in the Hecke algebra
- Derived equivalences and category O,

PhD thesis, UW-Madison, 2011. - Derived equivalences and sl2 categorifications for Uq(gln),

J. of Algebra**346**(2011), 82-100.

**Incomplete/scratch work**

- Projective functors and free pro-unipotent sheaves, [unstable version] (last updated 20 June, 2013)
- Extensions of Verma modules

This is a significantly longer version of the preprint/paper above of the same name. Amongst other things it contains several computations. - Computing extensions between sheaves (ala Beilinson-Ginzburg-Soergel)

**Notes from conferences/workshops**

- Proudfoot Talbot (Oregon, 2012)
- Geometric Langlands (Freiburg, 2012)
- Enveloping algebras and geometric representation theory (Oberwolfach, 2012)
- Algebraic Lie theory (Newton Institute, 2009)

**Notes from various talks**

- Rook placements and Jordan forms (Martha at CU-Boulder, 2013)
- Satake isomorphisms and affine Beilinson-Bernstein localization (Masoud at Freiburg, 2012)
- F to C ala [BBD] (Soergel at Freiburg, 2012)
- Cotangent complexes of moduli spaces and symplectic structures (Z. Zhang at Freiburg, 2012)
- Geometric Langlands for GL_1 (Oliver at Freiburg, 2012)
- Geometric Langlands and Physics (E. Scheidegger at Freiburg, 2012)
- Generic vanishing fails for singular varieties in characteristic p (S. Kovacs at CSU, 2012)
- Kazhdan-Lusztig cells and Calegoro-Moser space (Rouquier at UC-Riverside, 2012)
- Geometric realizations of quantum groups (Yiqiang Li at NCSU, 2012)
- The Hodge theorem as a derived self intersection (Andrei at Buchweitz's birthday conference, 2012)
- Index theory for elliptic operators (E. Van Erp at CU-Boulder, 2012)
- Tensor triangulated geometry (P. Balmer at ANU, 2009)

**Notes for/from courses**

Some notes that I wrote as a student (graduate and undergraduate) can be found here.

*Last updated: 04 March, 2014*