Perverse filtration on the cohomology of affine Springer fibers. arXiv:2606.01507.

(with X.Jin) Mirror symmetry of the affine Toda systems. arXiv:2605.21159.

(with R.Bezrukavnikov, P.Boixeda Alvarez, M.McBreen) Affine Springer fiber and the small quantum group. arXiv:2604.11966.

(with D.Nadler) The global nilpotent cone for universal curves. arXiv:2603.01261. Submitted.

(with T.Feng and W.Zhang) Arithmetic volumes of moduli stacks of Shtukas. arXiv:2601.18557. Submitted.

(with J.Ma, C.Qiu and J.Zou) Theta correspondence and Springer correspondence. arXiv:2512.13020. Submitted.

(with X.Zhu) Affine Hecke categories in equal and mixed characteristic. arXiv:2511.10071. Submitted.

(with G.Dhillon, Y-W. Li and X.Zhu) Endoscopy for metaplectic affine Hecke categories. arXiv:2507.16667. Submitted.

(with K.Jakob) Counting absolutely indecomposable $G$-bundles. arXiv:2412.19116. Submitted.

(with T.Feng and W. Zhang) Modularity of higher theta series I: cohomology of the generic fiber. arXiv:2308.10979. Submitted.

(with K.Jakob) A Deligne-Simpson problem for irregular G-connections over P1. arXiv:2301.10967. Submitted.

(with D.Nadler) Automorphic gluing functor in Betti Geometric Langlands. arXiv:2105.12318.

Survey on Geometric Representation Theory. (Expository) PDF, Chinese version to appear in Scientia Sinica Mathematica.

(with B.C.Ngo) Character sheaves on loop Lie algebras: polar partition. arXiv:2506.14584. In Algebraic Geometry and the Langlands Program (a volume in honour of Gerard Laumon)

(with A.Ionov) Tilting sheaves for real groups and Koszul duality. arXiv:2301.05409. To appear in Compositio Math .

(with T. Feng and W.Zhang) Higher theta series for unitary groups over function fields. arXiv:2110.07001., Ann. Sci. Ec. Norm. Super. (4) 58 (2025), no. 2, 275--388.

(with R.Bezrukavnikov, P. Boixeda Alvarez and M. McBreen) Non-abelian Hodge moduli spaces and homogeneous affine Springer fibers. PDF, Pure Appl. Math. Q. 21 (2025), no. 1, 61--130. (Special volume for G.Lusztig)

(with D.Nadler and P.Li) Functions on the commuting stack via Langlands duality. PDF, Ann. of Math. (2) 200 (2024), no. 2, 609--748.

(with G.Lusztig) From conjugacy classes in the Weyl group to representations. PDF, Proc. Sympos. Pure Math., 108, American Mathematical Society, Providence, RI, 2024, 453--464.

Rigidity method for automorphic forms over function fields. PDF, In Automorphic forms beyond GL(2), Math. Surveys Monogr., 279. American Mathematical Society, Providence, RI, 2024, 147--187.

(with T. Feng and W.Zhang) Higher Siegel--Weil formula for unitary groups: the non-singular terms. PDF, Invent. Math. vol. 235 (2024), 569--668.

Special cycles for Shtukas are closed. PDF, Pure Appl. Math. Q. 18 (2022), no. 5, 2203--2220. (Special volume for B.Gross)

Minimal reduction types and the Kazhdan-Lusztig map. arXiv link, Indag. Math. (N.S.) 32 (2021), no. 6, 1240--1274. (Special volume for T.A.Springer)

(with K.Jakob) Euphotic representations and rigid automorphic data. PDF, Selecta Math. (N.S.) 28 (2022), no. 4.

Higher signs for Coxeter groups. PDF, Peking Math. J. 4 (2021), no. 2, 285--303.

(with G.Lusztig) Z/m-graded Lie algebras and perverse sheaves, IV. PDF, Represent. Theory 24 (2020), 360--396.

(with G.Lusztig) Endoscopy for Hecke categories, character sheaves and representations. PDF, Forum of Mathematics, Pi, 8 (2020), E12. Corrigendum, Forum Math. Pi 9 (2021), Paper No. e11, 3 pp.

(with J.Yang) Semilinear automorphisms of classical groups and quivers. PDF, Sci. China Math. 62 (2019), no. 11, 2355--2370.

(with W.Zhang) Shtukas and the Taylor expansion of L-functions (II). PDF, Ann. of Math. (2) 189 (2019), no. 2, 393--526.

(with D.Nadler) Spectral action in Betti Geometric Langlands. PDF, Israel J. Math. 232 (2019), no. 1, 299--349.

(with D.Nadler) Geometric Langlands correspondence for SL(2), PGL(2) over the pair of pants. PDF, Compos. Math. 155(2019), no. 2, 324--371.

Hitchin type moduli stacks in automorphic representation theory. PDF, Proceedings of ICM 2018.

(with A.Oblomkov) The cohomology ring of certain compactified Jacobians. arXiv:1710.05391.

(with G.Lusztig) Z/m-graded Lie algebras and perverse sheaves, III: graded double affine Hecke algebra. PDF, Representation Theory 22(2018), 87--118.

(with G.Lusztig) Z/m-graded Lie algebras and perverse sheaves, II. PDF, Representation Theory 21(2017), 322--353.

(with G.Lusztig) Z/m-graded Lie algebras and perverse sheaves, I. PDF, Representation Theory 21(2017), 277--321.

Lectures on Springer theories and orbital integrals. PDF, in The IAS/Park City Mathematical Series 2015.

(with W.Zhang) Shtukas and the Taylor expansion of L-functions. PDF, Annals of Math. 186 (2017), no. 3, 767--911.

(with A.Oblomkov) Geometric representations of graded and rational Cherednik algebras. PDF, Advances in Math. 292 (2016), 601-706.

Epipelagic representations and rigid local systems, PDF, Selecta Math. (N.S.), 22 (2016), no. 3, 1195-1243.

Galois representations attached to moments of Kloosterman sums and conjectures of Evans. With an appendix by C.Vincent. PDF, Compositio Math. 151 (2015), no. 1, 68-120.

Rigidity in automorphic representations and local systems. PDF, Current Developments in Mathematics 2013, International Press, 2014.

Rigidity in the Langlands correspondence and applications (survey article), PDF, Proceedings of ICCM (International Congress of Chinese Mathematicians) 2013

The spherical part of local and global Springer actions. PDF, Math Annalen, 359 (2014), no. 3-4, 557-594.

(with D.Maulik) Macdonald formula for curves with planar singularities, PDF, J.Reine Angew. Math., 694 (2014), 27-48.

Orbital integrals and Dedekind zeta functions, PDF, The Legacy of Srinivasa Ramanujan, RMS-Lecture Notes Series No. 20, 2013, 399--420.

Motives with exceptional Galois groups and the inverse Galois problem, PDF, Invent. Math., 196 (2014), Issue 2, 267-337.

(with G.Lusztig) A (-q)-analogue of weight multiplicities, PDF, J. Ramanujan Math. Soc. 28A (Special Issue-2013) 311--340.

(with J.Heinloth and B.C. Ngô) Kloosterman sheaves for reductive groups, PDF, Annals of Math., 177 (2013), no.1 , 241--310.

(with R.Bezrukavnikov) On Koszul duality for Kac-Moody groups (with appendices by Zhiwei Yun), PDF, Represent. Theory 17 (2013), 1--98.

Langlands duality and global Springer theory, PDF, Compositio. Math. 148 (2012), 835--867. (This is the revised version of the second half of "Towards a global Springer theory III")

Global Springer Theory, PDF, Advances in Math. 228 (2011), 266-328. (This is the combined and revised version of "Towards a global Springer theory I, II")

The fundamental lemma of Jacquet-Rallis, PDF, Duke Math. J. 156 (2011), No.2, 167-228. With an appendix by J.Gordon: Transfer to characteristic zero.

(with X.Zhu) Integral homology of loop groups via Langlands dual groups, PDF, Represent. Theory 15 (2011), 347-369.

Weights of mixed tilting sheaves and geometric Ringel duality, PDF, Selecta Math. (N.S.) 14 (2009), no. 2, 299-320.

Goresky-MacPherson calculus for the affine flag varieties, PDF, Canad. J. Math. 62 (2010), no. 2, 473-480.

Ph.D. Thesis

Towards a global Springer theory III: Endoscopy and Langlands duality, arXiv:0904.3372

Towards a global Springer theory II: the double affine action, arXiv:0904.3371

Math Review for the paper "A categorical approach to the stable center conjecture." by Bezrukavnikov, Kazhdan and Varshavsky, PDF

Math Review for the paper "Formule des traces et fonctorialité: le début d'un programme." by Frenkel, Langlands and Ngô (as if I understood it), PDF

Math Review for the paper "Geometrization of trace formulas." by Frenkel and Ngô, PDF

Notes on D-modules (for Talbot 2008), PDF

Algebraic Geometry, Automorphic Forms, Number Theory and Geometric Representation Theory, Orsay, France, 6/2027

Modern Representation Theory and Algebraic Geometry, Vienna, 4/2027

Geometry conference in honour of Nigel Hitchin for his 80th birthday, Madrid, 9/2026

(Co-organizer)Gross-Zagier formula, 40 years later, MIT, 8/2026

Peking Math Journal Conference, Enshi, 7/2026

Summer Workshop on Character Sheaves on Loop Groups, Univ. of Minnesota, 6/2026

Hot topics workshop: Geometric Langlands, SLMath, 4/2026

AMS Sectional Meeting, Boston College, 4/2026

Relative Langlands Duality, National University of Singapore, 1/2026

Geometric Representation Theory Workshop, Sanya, 1/2026

International Congress of Chinese Mathematicians (ICCM), Shanghai, 1/2026

AMS Summer Institute in Algebraic Geometry, Fort Collins, 8/2025

Beijing-Shanghai Summer School in Mathematics, Shanghai, 7/2025

Conference on the Langlands program, Northeastern Unit, 6/2025

Enveloping Algebras and Geometric Representation Theory,Oberwolfach, 5/2025

Representation Theory Days (in honor of G.Lusztig), MIT, 11/2024

Ramifications in Geometric Langlands, Heidelberg, 9/2024

Relative Langlands Duality, Univ. of Minnesota, 6/2024

Arithmetic intersection theory on Shimura varieties, AIM, 1/2024

Group theory and Number theory (in honor of Tiep), Princeton, 10/2023

100 Years of Noetherian Rings, IAS, 6/2023

Shimura Varieties and L-functions (in honor of Shouwu Zhang)MSRI, Mar.2023

The geometry of double affine Hecke algebras and Coulomb branches, Edinburgh, 3/2023

Lie groups Day (in honor of D. Vogan), MIT, 9/2022

Summer School on Langlands program, IHES, 7/2022

Arithmetic and topology around the Langlands program (virtual), Stockholm, 6/2022

Arizona Winter School, Tuscon, 3/2022

Theta Series: Representation Theory, Geometry, and Arithmetic (in honor of Kudla)(virtual), Fields Institute, 7/2021

Relative Aspects of the Langlands Program, L-Functions and Beyond Endoscopy (virtual), Luminy, 5/2021

Recent Developments in Geometric Representation Theory (virtual), IAS, 11/2020

Vietnam-USA Joint Math Meeting, Quy Nhon, 6/2019

International Congress of Chinese Mathematicians (ICCM), Beijing, 6/2019

(Co-organizer)Geometric Satake and beyond, Sanya, 10/2018

ICM 2018, Brazil, 8/2018

Duke Math Journal conference, 4/2017

Functoriality and the trace formula, AIM, 12/4-12/8/2017

AMS meeting special session on Rational Cherednik algebras and Categorification UC Riverside, 11/4-11/5/2017

p-adic Hodge Theory and Automorphic Forms, BICMR, Beijing, 6/5-6/9/2017

(Co-organizer)Oberwolfach Arbeitsgemeinschaft: Higher Gross-Zagier formulas, Germany, 4/2-4/8/2017

Joint Mathematics Meetings, Atlanta, 1/4-1/7/2017

Global Langlands correspondence AIM, 12/5-12/9/2016

International Congress of Chinese Mathematicians (ICCM), Beijing, 8/6-8/11/2016

The Langlands correspondence in arithmetic and geometry, Korea Institute for Advanced Study (Seoul), 8/1-8/5/2016

(Co-organizer)Algebraic Lie Theory and Symplectic Geometry, Sanya, 3/21-3/25/2016

Bay Area Algebraic Number Theory and Arithmetic Geometry Day, Santa Cruz, 12/2015

Meeting of AMS Western Section, Fullerton, 10/24-10/25/2015

Workshop on Springer Theory and Related Topics, UMass Amherst, 10/9-10/11/2015

AMS Summer Institute in Algebraic Geometry, Salt Lake City, 7/13-7/31/2015

(Co-organizer)PCMI Summer Session, Geometry of moduli spaces and representation theory, Park City, 6/28-7/18/2015

(Co-organizer)Sanya Math Forum: Algebraic Groups and their representations, Sanya, 12/15-12/19/2014

MSRI Program Geometric Representation Theory, Berkeley, 8/18-12/19/2014

Representation Theory, Integrable Systems and Quantum Fields, Northwestern University, 5/19-5/23/2014

(Co-organizer)Langlands Correspondence and Constructive Galois Theory, Oberwolfach, 2/2-2/8/2014

(Co-organizer)Sanya Math Forum: Langlands program, Sanya, 12/20-12/22/2013

Current Development in Mathematics , Harvard-MIT, 11/22-11/23/2013

International Congress of Chinese Mathematicians (ICCM), Taipei, 7/14-7/19/2013

Sino-French Conference on Arithmetic Geometry , Chern Institute of Mathematics, Tianjin, 6/24-6/28/2013

Young Mathematicians Forum, Peking University, 6/18-20/2013

WAGS (Western Algebraic Geometry Symposium), Harvey Mudd College, 2/16-2/17/2013

Springer Memorial Conference, Hong Kong, 1/4-1/9/2013

The Legacy of Srinivasa Ramanujan-An International Conference, University of Delhi, India, 12/17-12/22/2012

(Co-organizer)Workshop on Algebraic Geometry, Number Theory and Representation Theory, Beijing International Center for Math Research, 7/30-8/3/2012

Fibration de Hitchin et Integrales orbitales, Universite de Caen, France, 5/21-5/23/2012

Automorphic forms and related geometry--Assessing the legacy of I.I.Piatetski-Shapiro, Yale University, New Haven, 4/23-4/27/2012

(Co-organizer)Geometric Representation Theory, AMS Central Sectional Meeting, Lawrence, Kansas, 3/30-4/1/2012

Enveloping Algebras and Geometric Representation Theory, Oberwolfach, Germany, 3/4-3/10/2012

FRG Conference: Periods of automorphic forms and applications to L-functions, Columbia University, New York, 9/16-9/18/2011

(Co-organizer) Workshop on arithmetic and algebraic geometry, Beijing International Center for Math Research, 8/2-8/4/2011

(Co-organizer) Summer School on arithmetic geometry, Beijing International Center for Math Research, 7/11-7/29/2011

Workshop on the arithmetic geometry of Shimura varieties and Rapoport-Zink spaces, Kyoto University, Japan, 7/4-7/8/2011

Physics-Mathematics Summer Institute (PhyMSI), the CIRM session on DAHA and Langlands program, Luminy, France, 6/20-7/1/2011

AGNES (Algebraic Geometry Northeastern Series), MIT, 4/1--4/3/2011

CMS Winter Meeting, Vancouver, Canada, 12/4-12/6/2010

The second Pan Asian Number Theory Conference (PANT), RIMS, Kyoto, Japan 9/13-9/17/2010

Workshop on Arithmetic Geometry and Related Topics, TIMS, Taipei, Taiwan, 7/12-7/16/2010

AIM Workshop: Relative trace formula and periods of automorphic forms, Palo Alto, CA, 8/24-8/28/2009

Workshop on Topological Field Theories, Northwestern University, 5/18-5/22/2009

Talbot Workshop: Fukaya categories, 3/23-3/27/2009, Nags Head, NC

Gauge Theory and Langlands Duality, Kavli Institute for Theoretical Physics, UC Santa Barbara, 7/21-8/8/2008

Talbot Workshop: Affine Lie Algebras and Chiral Structures, Plymouth, MA, 3/30-4/5/2008

Conference on Algebro-Geometric Derived Categories and Applications, IAS, 3/10-3/14/2008

Workshop on Gauge Theory and Representation Theory, IAS, 11/26-11/30/2007

Trends in Non-commutative Geometry, Northwestern University, 5/18-5/25/2007

Workshop on Homological Mirror Symmetry and Applications I & II, IAS, 1/22-1/26/2007 & 3/26-3/30/2007

Clay Summer School on Arithmetic Geometry, Göttingen University, Germany, 7/17-8/11/2006

AMS Summer Institute in Algebraic Geometry, University of Washington, 8/1-8/12/2005

Summer school on Shimura varieties, Center of Mathematical Sciences, Zhejiang University, China, 7/3-7/15/2005