(with R.Bezrukavnikov) On Koszul duality for Kac-Moody groups (with appendices by Zhiwei Yun), PDF, Represent. (with G.Lusztig) A (-q)-analogue of weight multiplicities, PDF, J. Motives with exceptional Galois groups and the inverse Galois problem, PDF, Invent.
#Agnes algebraic geometry series
Orbital integrals and Dedekind zeta functions, PDF, The Legacy of Srinivasa Ramanujan, RMS-Lecture Notes Series No. (with D.Maulik) Macdonald formula for curves with planar singularities, PDF, J.Reine Angew. The spherical part of local and global Springer actions. Rigidity in the Langlands correspondence and applications (survey article), PDF, Proceedings of ICCM (International Congress of Chinese Mathematicians) 2013 PDF, Current Developments in Mathematics 2013, International Press, 2014. Rigidity in automorphic representations and local systems. Galois representations attached to moments of Kloosterman sums and conjectures of Evans. 292 (2016), 601-706.Įpipelagic representations and rigid local systems, PDF, Selecta Math. (with A.Oblomkov) Geometric representations of graded and rational Cherednik algebras. (with W.Zhang) Shtukas and the Taylor expansion of L-functions. PDF, in The IAS/Park City Mathematical Series 2015. Lectures on Springer theories and orbital integrals. (with G.Lusztig) Z/m-graded Lie algebras and perverse sheaves, I. (with G.Lusztig) Z/m-graded Lie algebras and perverse sheaves, II. (with G.Lusztig) Z/m-graded Lie algebras and perverse sheaves, III: graded double affine (with A.Oblomkov) The cohomology ring of certain compactified Jacobians. Hitchin type moduli stacks in automorphic representation theory. (with D.Nadler) Geometric Langlands correspondence for SL(2), PGL(2) over the pair of pants. (with D.Nadler) Spectral action in Betti Geometric Langlands. (with W.Zhang) Shtukas and the Taylor expansion of L-functions (II).
(with J.Yang) Semilinear automorphisms of classical groups and quivers. PDF, Forum of Mathematics, Pi, 8 (2020), E12. (with G.Lusztig) Endoscopy for Hecke categories, character sheaves and representations. (with G.Lusztig) Z/m-graded Lie algebras and perverse sheaves, IV. To appear in Proceedings of the Southeastern Lie Theory Workshop 2019. (with G.Lusztig) From conjugacy classes in the Weyl group to representations. (with K.Jakob) Euphotic representations and rigid automorphic data. Minimal reduction types and the Kazhdan-Lusztig map.
Proceedings of Arizona Winter School 2022. Rigidity method for automorphic forms over function fields. Feng, W.Zhang) Higher Siegel-Weil formula for unitary groups: the non-singular terms. (with D.Nadler) Automorphic gluing functor in Betti Geometric Langlands. Feng, W.Zhang) Higher theta series for unitary groups over function fields. McBreen) Non-abelian Hodge moduli spaces and homogeneous affine Springer fibers.ĪrXiv:2209.14695. (with D.Nadler and P.Li) Functions on the commuting stack via Langlands duality. (with A.Ionov) Tilting sheaves for real groups and Koszul duality. (with K.Jakob) A Deligne-Simpson problem for irregular G-connections over P1. Research Interest-Representation Theory Number Theory Algebraic Geometry the Langlands Program
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