Mitya Boyarchenko's research
The most recently updated verion of my CV can be found
here
Latest versions of my papers
(with Alexei Borodin)
Distribution of the first particle in discrete orthogonal polynomial ensembles
,
Communications in Mathematical Physics, Vol. 234 (2003).
(with Oren Ben-Bassat)
Submanifolds of generalized complex manifolds
, Journal of Symplectic Geometry, Vol. 2, No. 3 (2004).
(with Sergei Levendorskii)
Generalizations of the classical Weyl and Colin de Verdiere's formulas and the orbit method
,
Proceedings of the National Academy of Sciences, Vol. 102, No. 16 (2005).
(with Mohammed Abouzaid)
Local structure of generalized complex manifolds
, Journal of Symplectic Geometry, Vol. 4, No. 1 (2006).
(with Sergei Levendorskii)
Beyond the classical Weyl and Colin de Verdiere's formulas for Schrodinger operators with
polynomial magnetic and electric fields
, Annales de l'Institut Fourier, Tome 56, No. 6 (2006).
Quantization of minimal resolutions of Kleinian singularities
, Advances in Mathematics, Vol. 211 (2007).
(with Maria Sabitova)
Centralizers of generic elements of Newton strata in the adjoint quotients of reductive groups
,
International Mathematics Research Notices (2007).
(with Maria Sabitova)
The orbit method for profinite groups and a p-adic analogue of Brown's theorem
,
Israel Journal of Mathematics, Vol. 165 (2008).
Characters of unipotent groups over finite fields,
Selecta Mathematica (N.S.), Vol. 16 (2010).
Representations of unipotent groups over local fields and Gutkin's conjecture
, Mathematical Research Letters, Vol. 18, No. 3 (2011).
Character sheaves and characters of unipotent groups over finite fields
, to appear in the American Journal of Mathematics.
(with Vladimir Drinfeld)
Character sheaves on unipotent groups in positive characteristic: foundations
, submitted for publication.
(with Vladimir Drinfeld)
A duality formalism in the spirit of Grothendieck and Verdier
, to appear in Quantum Topology.
(with Jared Weinstein)
Maximal varieties and the local Langlands correspondence for GL(n)
, submitted for publication.
Deligne-Lusztig constructions for unipotent and p-adic groups
, preprint, July 2012.