439 Malott Hall
Ph.D. (1997) Université de Montreal (Canada)
Representation theory, noncommutative geometry, mathematical physics
My research interests include representation theory, algebraic geometry, homological algebra, and mathematical physics. I am particularly interested in various interactions between these fields and their applications. Some of my recent work is related to derived algebraic geometry, homotopical algebra, quantum topology and integrable systems.
Representation homology of spaces and higher Hochschild homology (with A. C. Ramadoss and Wai-kit Yeung), https://arxiv.org/abs/1703.03505
Representation homology, Lie algebra cohomology and the derived Harish-Chandra homomorphism (with G. Felder, A. Patotski, A. C. Ramadoss and T. Willwacher), J. Eur. Math. Soc. 19 (2017), 2811-2893.
Stable representation homology and Koszul duality (with A.C. Ramadoss), J. Reine Angew. Math. 715 (2016), 143–187.
Double affine Hecke algebras and generalized Jones polynomials (with P. Samuelson), Compos. Math. 152 (2016), 1333–1384.
Dixmier groups and Borel subgroups (with A. Eshmatov and F. Eshmatov), Adv. Math. 286 (2016), 387–429.
Derived representation schemes and cyclic homology (with G. Khachatryan and A. C. Ramadoss), Adv. Math. 245 (2013), 625–689.
Quasi-invariants of complex reflection groups (with O. Chalykh), Compos. Math. 147 (2011), 965–1002.
Cherednik algebras and differential operators on quasi-invariants (with P. Etingof and V. Ginzburg), Duke Math. J. 118 (2003), 279–337.
Automorphisms and ideals of the Weyl algebra (with G. Wilson), Math. Ann. 318 (2000), 127–147.
The problem of lacunas and analysis on root systems, Trans. Amer. Math. Soc. 352 (2000), 3743–3776.