Publications

  • All
  • Various
  • Algebraic Topology
  • Elliptic operators and applications
  • Complex representations of finite Chevalley groups
  • Modular representations
  • Quantum groups/Canonical bases
  • Algebraic groups/Character sheaves
  • Symmetric spaces
  • Coxeter groups
  • P-adic groups/loop groups
  • Total positivity
  • Model de geometrie afina plana peste un corp finit, Studii Cerc.Mat.17(1965), 1337-1340.
  • Constructia fibrarilor universale peste poliedre arbitrare, (with H.Moscovici) Demonstration du th'eoreme sur la suite spectrale d'un fibr'e au sens de Kan, Proc.Camb. Phil.Soc.64(1968), 293-297.
  • (with H.Moscovici) Demonstration du th'eoreme sur la suite spectrale d'un fibr'e au sens de Kan, Proc.Camb. Phil.Soc.64(1968), 293-297.
  • Sur les complexes elliptiques fibr'es, C.R.Acad.Sci.Paris(A)266(1968), 914-917.
  • Sur les actions libres des groupes finis, Bull.Acad.Polon.Sci.16(1968), 461-463.
  • Coomologia complexelor eliptice, Studii Cerc.Mat.21(1969), 38-83.
  • A property of certain non-degenerate holomorphic vector fields, An.Univ.Timisoara 7(1969), 73-76.
  • (with J.Milnor and F.P.Peterson) Semicharacteristics and cobordism, Topology 8(1969), 357-359.
  • Remarks on the holomorphic Lefschetz formula, in "Analyse globale", Presses de l'Univ.de Montr'eal 1971, 193-204.
  • (with J.Dupont) On manifolds satisfying $w_1^2 =0$, Topology 10(1971), 81-92.
  • Novikov's higher signature and families of elliptic operators, J.Diff.Geom.7(1972), 229-256.
  • On the discrete series representations of the general linear groups over a finite field, Bull.Amer.Math.Soc. 79(1973), 550-554.
  • THE DISCRETE SERIES REPRESENTATIONS OF $GL_n$ OVER A FINITE FIELD, Ann.Math.Studies 81, Princeton U.Press 1974, 99p.
  • Introduction to elliptic operators, in "Global Analysis and applications" Internat.Atomic Energy Agency, Vienna 1974, 187-193.
  • (with R.W.Carter) On the modular representations of the general linear and symmetric groups, Math.Z.136(1974), 193-242.
  • (with R.W.Carter) Modular representations of the general linear and symmetric groups, in "Proc.2nd Int.Conf. Th.Groups 1973" LNM 372, Springer Verlag 1974, 218-220.
  • On the discrete series representations of the classical groups over a finite field, in "Proc.Int.Congr.Math., Vancouver 1974", 465-470.
  • Sur la conjecture de Macdonald, C.R.Acad.Sci.Paris(A)280(1975), 371-320.
  • A note on counting nilpotent matrices of fixed rank, Bull.Lond.Math.Soc.8(1976), 77-80.
  • Divisibility of projective modules of finite Chevalley groups by the Steinberg module, Bull.Lond.Math.Soc.8 (1976), 130-134.
  • (with R.W.Carter) Modular representations of finite groups of Lie type, Proc.Lond.Math.Soc.32(1976), 347-384.
  • (with P.Deligne) Representations of reductive groups over finite fields, Ann.Math.103(1976), 103-161.
  • On the Green polynomials of classical groups, Proc.Lond.Math.Soc.33(1976),443-475.
  • Coxeter orbits and eigenspaces of Frobenius, Inv.Math.28(1976), 101-159.
  • On the finiteness of the number of unipotent classes, Inv.Math.34(1976), 201-213.
  • (with J.A.Green and G.I.Lehrer) On the degrees of certain group characters, Quart.J.Math. 27(1976), 1-4.
  • (with B.Srinivasan) The characters of the finite unitary groups, J.Alg.49(1977), 167-171.
  • Classification des repr'esentations irr'eductibles des groupes classiques finis, C.R.Acad.Sci.Paris(A)284(1977), 473-476.
  • Irreducible representations of finite classical groups, Inv.Math.43(1977),125-175.
  • "Representations of finite Chevalley groups", Regional Conf. Series in Math.39, Amer.Math.Soc. 1978, 48p.
  • (with W.M.Beynon) Some numerical results on the characters of exceptional Weyl groups, Math.Proc.Camb.Phil. Soc.84(1978), 417-426.
  • Some remarks on the supercuspidal representations of p-adic semisimple groups, Proc.Symp.Pure Math.33(1), Amer.Math.Soc. 1979, 171-175
  • On the reflection representation of a finite Chevalley group, in "Representation theory of Lie groups", LMS Lect.Notes Ser.34, Cambridge U.Press 1979, 325-337.
  • Unipotent representations of a finite Chevalley group of type $E_8$, Quart.J.Math.30(1979), 315-338.
  • (with N.Spaltenstein) Induced unipotent classes, J.Lond.Math.Soc.19(1979), 41-52.
  • A class of irreducible representations of a Weyl group, Proc.Kon.Nederl.Akad.(A)82(1979), 323-335.
  • (with D.Kazhdan) Representations of Coxeter groups and Hecke algebras, Inv.Math.53(1979), 165-184.
  • (with D.Kazhdan) A topological approach to Springer's representations, Adv.Math.38(1980), 222-228.
  • (with D.Kazhdan) Schubert varieties and Poincar'e duality, Proc.Symp.Pure Math.36, Amer.Math.Soc. 1980, 185-203.
  • Some problems in the representation theory of finite Chevalley groups, Proc.Symp.Pure Math.37, Amer.Math.Soc. 1980, 313-317.
  • Hecke algebras and Jantzen's generic decomposition patterns, Adv.Math.37(1980), 121-164.
  • On the unipotent characters of the exceptional groups over finite fields, Inv.Math.60(1980), 173-192.
  • On a theorem of Benson and Curtis, J.Alg.71(1981), 490-498.
  • Green polynomials and singularities of unipotent classes, Adv.Math.42(1981), 169-178.
  • Unipotent characters of the symplectic and odd orthogonal groups over a finite field, Inv.Math.64(1981), 263-296.
  • Unipotent characters of the even orthogonal groups over a finite field, Trans.Amer.Math.Soc.272(1982), 733-751.
  • (with P.Deligne) Duality for representations of a reductive group over a finite field, J.Alg.74(1982), 284-291.
  • (with D.Alvis) On Springer's correspondence for simple groups of type $E_n(n=6,7,8)$, Math.Proc.Camb.Phil.Soc. 92(1982), 65-72.
  • (with D.Alvis) The representations and generic degrees of the Hecke algebras of type $H_4$, J. fu"r reine undangew.math.336(1982), 201-212; Erratum, 449(1994), 217-218.
  • A class of irreducible representations of a Weyl group II, Proc.Kon.Nederl.Akad.(A)85(1982), 219-226.
  • (with D.Vogan) Singularities of closures of K-orbits on a flag manifold, Inv.Math.71(1983), 365-379.
  • (with P.Deligne) Duality for representations of a reductive group over a finite field II, J.Alg.81(1983), 540-549.
  • Singularities, character formulas and a $q$-analog of weight multiplicities, Ast'erisque 101-102(1983), 208-229.
  • Some examples of square integrable representations of semisimple p-adic groups, Trans.Amer.Math.Soc.227(1983), 623-653.
  • Left cells in Weyl groups, in "Lie groups representations", LNM 1024, Springer Verlag 1983, 99-111.
  • Open problems in algebraic groups, Proc.12th Int.Symp., Taniguchi Foundation, Katata 1983, 14-14.
  • CHARACTERS OF REDUCTIVE GROUPS OVER A FINITE FIELD, Ann.Math.Studies 107, Princeton U.Press 1984, 384p.
  • Characters of reductive groups over finite fields, in "Proc.Int.Congr.Math. Warsaw 1983", North Holland 1984, 877-880.
  • Intersection cohomology complexes on a reductive group, Inv.Math.75(1984),205-272.
  • Cells in affine Weyl groups, in "Algebraic groups and related topics", Adv.Stud.Pure Math.6, North-Holland and Kinokuniya 1985, 255-287.
  • (with N.Spaltenstein) On the generalized Springer correspondence for classical groups, in "Algebraic groups and related topics", Adv.Stud.Pure Math.6, North Holland and Kinokuniya 1985, 289-316.
  • The two sided cells of the affine Weyl group of type A, in "Infinite dimensional groups with applications", MSRI Publ.4, Springer Verlag 1985, 275-283.
  • Character sheaves I, Adv.Math.56(1985), 193-237.
  • Character sheaves II, Adv.Math.57(1985), 226-265.
  • Character sheaves III, Adv.Math.57(1985), 266-315.
  • Equivariant K-theory and representations of Hecke algebras, Proc.Amer.Math.Soc.94(1985), 337-342.
  • (with D.Kazhdan) Equivariant K-theory and representations of Hecke algebras II, Inv.Math.80(1985), 209-231.
  • Character sheaves IV, Adv.Math.59(1986), 1-63.
  • Character sheaves V, Adv.Math.61(1986), 103-155.
  • Sur les cellules gauches des groupes de Weyl, C.R.Acad.Sci.Paris(A)302(1986),5-8.
  • On the character values of finite Chevalley groups at unipotent elements, J.Alg.104(1986), 146-194.
  • (with D.Kazhdan) Proof of the Deligne-Langlands conjecture for Hecke algebras, Inv.Math.87(1987), 153-215.
  • Cells in affine Weyl groups II, J.Alg.109(1987), 536-548.
  • Fourier transforms on a semisimple Lie algebra over $F_q$, in "Algebraic Groups Utrecht 1986", LNM 1271, Springer Verlag 1987, 177-188.
  • Cells in affine Weyl groups III, J.Fac.Sci.Tokyo U.(IA)34(1987), 223-243.
  • Introduction to character sheaves, Proc.Symp.Pure Math.47(1), Amer.Math.Soc. 1987, 165-180.
  • Leading coefficients of character values of Hecke algebras, Proc.Symp.Pure Math.47(2), Amer.Math.Soc. 1987, 235-262.
  • (with C.De Concini and C.Procesi) Homology of the zero set of a nilpotent vector field on a flag manifold, J.Amer.Math.Soc.1(1988), 15-34.
  • Quantum deformations of certain simple modules over enveloping algebras, Adv.Math.70(1988), 237-249.
  • (with D.Kazhdan) Fixed point varieties on affine flag manifolds, Isr.J.Math.62(1988), 129-168.
  • Cuspidal local systems and graded Hecke algebras I, Publ.Math.I.H.E.S.67(1988), 145-202.
  • (with N.Xi) Canonical left cells in affine Weyl groups, Adv.Math.72(1988),284-288.
  • On representations of reductive groups with disconnected center, Ast'erisque168(1988), 157-166.
  • Modular representations and quantum groups, Contemp.Math.82(1989), 59-77.
  • Affine Hecke algebras and their graded version, J.Amer.Math.Soc.2(1989), 599-635.
  • Cells in affine Weyl groups IV, J.Fac.Sci.Tokyo U.(IA)36(1989), 297-328.
  • Representations of affine Hecke algebras, Ast'erisque 171-172(1989), 73-84.
  • On quantum groups, J.Alg.131(1990), 466-475.
  • Green functions and character sheaves, Ann.Math.131(1990), 355-408.
  • Finite dimensional Hopf algebras arising from quantized universal enveloping algebras, J.Amer.Math.Soc.3 (1990), 257-296.
  • Quantum groups at roots of 1, Geom.Ded.35(1990), 89-114.
  • Canonical bases arising from quantized enveloping algebras, J.Amer.Math.Soc.3 (1990), 447-498.
  • (with A.A.Beilinson and R.MacPherson) A geometric setting for the quantum deformation of $GL_n$, Duke Math.J. 61(1990), 655-677.
  • Symmetric spaces over a finite field, in "The Grothendieck Festschrift III", Progr.in Math.88, Birkh\"auser Boston 1990, 57-81.
  • Canonical bases arising from quantized enveloping algebras II, in "Common trends in mathematics and quantum field theories", Progr.of Theor.Phys.Suppl 102(1990), ed.T.Eguchi&al., 175-201.
  • (with D.Kazhdan) Affine Lie algebras and quantum groups, Int.Math.Res.Notices 1991, 21-29.
  • Quivers, perverse sheaves and enveloping algebras, J.Amer.Math.Soc.4(1991), 365-421.
  • (with J.M.Smelt) Fixed point varieties in the space of lattices, Bull.Lond.Math.Soc.23(1991), 213-218.
  • Intersection cohomology methods in representation theory, in "Proc.Int.Congr.Math.Kyoto 1990", Springer Verlag 1991, 155-174.
  • A unipotent support for irreducible representations, Adv.Math.94(1992), 139-179.
  • Canonical bases in tensor products, Proc.Nat.Acad.Sci.89(1992), 8177-8179.
  • Remarks on computing irreducible characters, J.Amer.Math.Soc.5(1992), 971-986.
  • Introduction to quantized enveloping algebras, in Progr.in Math.105, Birkh\"auser Boston 1992, 49-65.
  • Affine quivers and canonical bases, Publ.Math.I.H.E.S.76(1992), 111-163.
  • (with J.Tits) The inverse of a Cartan matrix, An.Univ.Timisoara 30(1992),17-23.
  • (with I.Grojnowski) On bases of irreducible representations of quantum $GL_n$, in "Kazhdan-Lusztig theory and related topics", Contemp.Math.139(1992), 167-174.
  • INTRODUCTION TO QUANTUM GROUPS, Progr.in Math.110, Birkh\"auser Boston 1993, 341p.
  • (with D.Kazhdan) Tensor structures arising from affine Lie algebras I, J.Amer.Math.Soc.6(1993), 905-947.
  • (with D.Kazhdan) Tensor structures arising from affine Lie algebras II, J.Amer.Math.Soc.6(1993), 949-1011.
  • Coxeter groups and unipotent representations, Ast'erisque 212(1993), 191-203.
  • (with I.Grojnowski) A comparison of bases of quantized enveloping algebras, in "Linear algebraic groups and their representations", Contemp.Math.153(1993), 11-19.
  • Tight monomials in quantized enveloping algebras, in "Quantum deformations of algebras and their representations", ed.A.Joseph&al., Isr.Math.Conf.Proc.7, Amer.Math.Soc. 1993, 117-132.
  • Exotic Fourier transform, Duke Math.J.73(1994), 227-241.
  • Vanishing properties of cuspidal local systems, Proc.Nat.Acad.Sci.91(1994), 1438-1439.
  • (with D.Kazhdan) Tensor structures arising from affine Lie algebras III, J.Amer.Math.Soc.7(1994), 335-381.
  • (with D.Kazhdan) Tensor structures arising from affine Lie algebras IV, J.Amer.Math.Soc.7(1994), 383-453.
  • Monodromic systems on affine flag manifolds, Proc.Roy.Soc.Lond.(A) 445(1994),231-246.mnd; Errata, 450(1995), 731-732.
  • Problems on canonical bases, in "Algebraic groups and their generalizations: quantum and infinite dimensional methods", Proc.Symp.Pure Math.56(2), Amer.Math.Soc. 1994, 169-176.
  • Total positivity in reductive groups, in "Lie theory and geometry", Progr.in Math.123, Birkh\"auser Boston 1994, 531-568.
  • Study of perverse sheaves arising from graded Lie algebras, Adv.Math.112(1995), 147-217.
  • Cuspidal local systems and graded Hecke algebras II, in "Representations of groups", ed. B.Allison&al., Canad.Math.Soc.Conf.Proc.16, Amer.Math.Soc. 1995, 217-275.
  • Quantum groups at $v=\infty$, in "Functional analysis on the eve of the 21st century", vol.I, Progr.in Math. 131, Birkh\"auser Boston 1995, 199-221.
  • Classification of unipotent representations of simple $p$-adic groups, Int.Math.Res.Notices(1995), 517-589.
  • An algebraic-geometric parametrization of the canonical basis, Adv.Math.120(1996), 173-190.
  • Affine Weyl groups and conjugacy classes in Weyl groups, Transform.Groups 1(1996),83-97.
  • Braid group actions and canonical bases, Adv.Math.122(1996), 237-261
  • Non local finiteness of a $W$-graph, Represent.Th.1(1997), 25-30(electronic).
  • Cohomology of classifying spaces and hermitian representations, Represent.Th.1(1997), 31-36(electronic).
  • (with C.K.Fan) Factorization of certain exponentials in Lie groups, in "Algebraic groups and Lie groups", ed. G.I.Lehrer, Cambridge U.Press 1997, 215-218.
  • Total positivity and canonical bases, in "Algebraic groups and Lie groups", ed.G.I.Lehrer, Cambridge U.Press 1997, 281-295.
  • Notes on unipotent classes, Asian J.Math.1(1997), 194-207.
  • Cells in affine Weyl groups and tensor categories, Adv.Math.129(1997), 85-98.
  • Periodic $W$-graphs, Represent.Th.1(1997), 207-279(electronic).
  • A comparison of two graphs, Int.Math.Res.Notices (1997), 639-640.
  • Constructible functions on the Steinberg variety, Adv.Math.130(1997), 287-310.
  • Total positivity in partial flag manifolds, Represent.Th.2(1998), 70-78(electronic).
  • Introduction to total positivity, in "Positivity in Lie theory: open problems" ed.J.Hilgert&al., de Gruyter 1998, 133-145.
  • On quiver varieties, Adv.Math.136(1998) 141-182.
  • Canonical bases and Hall algebras, in "Representation Theories and Algebraic Geometry", ed. A.Broer&al., Kluwer Acad.Publ. 1998, 365-399.
  • Bases in equivariant $K$-theory, Represent.Th.2(1998), 298-369(electronic).
  • Homology bases arising from reductive groups over a finite field, in "Algebraic groups and their representations", ed.R.W.Carter&al., Kluwer Acad.Publ. 1998, 53-72.
  • Aperiodicity in quantum affine $\frak g\frak l_n$, Asian J.Math.3(1999), 147-178.
  • Bases in equivariant $K$-theory II, Represent.Th.3(1999), 281-353(electronic).
  • A survey of group representations, Nieuw Archief voor Wiskunde 17(1999), 483-489.
  • Subregular nilpotent elements and bases in $K$-theory, Canad.J.Math.51(1999), 1194-1225.
  • Recollections about my teacher, Michael Atiyah, Asian J.Math.1(1999), iv-v.
  • Semicanonical bases arising from enveloping algebras, Adv.Math.151(2000),129-139.
  • Fermionic form and Betti numbers, math.QA/0005010.
  • Quiver varieties and Weyl group actions, Ann.Inst.Fourier 50(2000), 461-489.
  • $G(F_q)$-invariants in irreducible $G(F_{q^2})$-modules, Represent.Th.4(2000), 446-465(electronic).
  • Remarks on quiver varieties, Duke Math.J.105(2000), 239-265.
  • Transfer maps for quantum affine $\frak s\frak l_n$, in "Representations and quantizations", ed.J.Wang&al., China Higher Ed.Press and Springer Verlag 2000.
  • Representation theory in characteristic $p$, in "Taniguchi Conf.on Math.Nara'98", Adv.Stud.Pure Math.31, Math.Soc.Japan 2001, 167-178.
  • Cuspidal local systems and graded Hecke algebras III, Represent.Th.6(2002), 202-242(electronic).
  • Classification of unipotent representations of simple $p$-adic groups II, Represent.Th.6(2002), 243-289 (electronic).
  • Constructible functions on varieties attached to quivers, in "Studies in memory of I.Schur", Progr.in Math. 210, Birkh\"auser Boston 2002, 177-223.
  • Rationality properties of unipotent representations, J.Alg.258(2002), 1-22.
  • Notes on affine Hecke algebras, in "Iwahori-Hecke algebras and their representation theory", ed.M.W.Baldoni &al., LNM 1804, Springer Verlag 2002, 71-103.
  • HECKE ALGEBRAS WITH UNEQUAL PARAMETERS, CRM Monograph Ser.18, Amer.Math.Soc. 2003,136p; additional material in version 2 (2014) arxiv:math/0208154
  • Homomorphisms of the alternating group $A_5$ into reductive groups, J.Alg.260(2003), 298-322.
  • Character sheaves on disconnected groups I, Represent.Th.7(2003), 374-403(electronic), Errata 8(2004), 179-179.
  • Representations of reductive groups over finite rings, Represent.Th.8(2004), 1-14(electronic).
  • Character sheaves on disconnected groups II, Represent.Th.8(2004), 72-124(electronic).
  • Character sheaves on disconnected groups III, Represent.Th.8(2004), 125-144(electronic).
  • Character sheaves on disconnected groups IV, Represent.Th.8(2004), 145-178(electronic).
  • Parabolic character sheaves I, Moscow Math.J.4(2004), 153-179
  • An induction theorem for Springer's representations, Adv.Stud.Pure Math.40, Math.Soc.Japan, Kinokuniya 2004, 253-259.
  • Character sheaves on disconnected groups V, Represent.Th.8(2004), 346-376(electronic).
  • Character sheaves on disconnected groups VI, Represent.Th.8(2004), 377-413(electronic).
  • Parabolic character sheaves II, Moscow Math.J.4(2004), 869-896
  • Convolution of almost characters, Asian J.Math.8(2004), 769-772.
  • Character sheaves on disconnected groups VII, Represent.Th.9(2005), 209-266(electronic).
  • Unipotent elements in small characteristic, Transform.Groups 10(2005), 449-487.
  • Character sheaves and generalizations, in "The Unity of Mathematics", ed.P.Etingof&al., Progress in Math.244, Birkh\"auser Boston 2006, 443-455.
  • A $q$-analogue of an identity of N.Wallach, in "Studies in Lie theory", ed.J.Bernstein&al., Progress in Math. 243, Birkh\"auser Boston 2006, 405-410.
  • Character sheaves on disconnected groups VIII, Represent.Th.10(2006), 314-352(electronic).
  • Character sheaves on disconnected groups IX, Represent.Th.10(2006), 353-379(electronic).
  • A class of perverse sheaves on a partial flag manifold, Represent.Th.11(2007), 122-171(electronic).
  • (with X.He) Singular supports for character sheaves on a group compactification, Geom. and Funct.Analysis 17(2007), 1915-1923.
  • Irreducible representations of finite spin groups, Represent.Th.12(2008), 1-36(electronic)
  • A survey of total positivity, Milan J.Math.76(2007), 1-10.
  • Generic character sheaves on disconnected groups and character values, Represent.Th.12(2008), 225-235 (electronic).
  • Unipotent elements in small characteristic II, Transform.Groups 13(2008), 773-797.
  • Study of a $\ZZ$-form of the coordinate ring of a reductive group, J.Amer.Math.Soc.22(2009), 739-769.
  • (with S.Kumar and D.Prasad) Characters of simplylaced nonconnected groups versus characters of nonsimplylaced connected groups, in "Representation theory" ed. Z.Lin, Contemp.Math.478(2009), 99-101.
  • Twelve bridges from a reductive group to its Langlands dual, in "Representation theory" ed. Z.Lin, Contemp.Math.478(2009), 125-143.
  • Character sheaves on disconnected groups X, Repres.Th.13(2009), 82-140(electronic).
  • Unipotent classes and special Weyl group representations, J.Alg.321(2009), 3418-3449.
  • Remarks on Springer's representations, Repres.Th.13(2009), 391-400.
  • Notes on character sheaves, Moscow Math.J.9(2009), 91-109.
  • Graded Lie algebras and intersection cohomology, in "Representation theory of algebraic groups and quantum groups", ed.A.Gyoja&al., Progress in Math.284, Birkh\"auser 2010, p.191-224.
  • Unipotent elements in small characteristic IV, Transform.Groups 14(2010).
  • Parabolic character sheaves III, Moscow Math.J. 10(2010), 603-609
  • Unipotent elements in small characteristic III, J.Alg.329(2011), 163-189.
  • Piecewise linear parametrization of canonical bases, Pure Appl.Math.Quart.7(2011), 783-796.
  • On some partitions of a flag manifold, Asian J.Math. 15(2011), 1-8
  • From conjugacy classes in the Weyl group to unipotent classes, Represent.Th. 15(2011), 494-530.
  • From groups to symmetric spaces, Contemp.Math.557(2011), 245-258.
  • Study of antiorbital complexes, Contemp.Math.557(2011), 259-287.
  • On C-small conjugacy classes in a reductive group, Transfor.Groups 16(2011), 807-825.
  • Bruhat decomposition and applications, arxiv:1006.5004.
  • On certain varieties attached to a Weyl group element, Bull.Inst.Math.Acad.Sinica (N.S.), 6(2011), 377-414.
  • (with X.He) A generalization of Steinberg's cross-section, Jour.Amer.Math.Soc. 25(2012), 739-757.
  • Elliptic elements in a Weyl group: a homogeneity property, Represent.Th. 16(2012), 127-151.
  • From conjugacy classes in the Weyl group to unipotent classes II, Represent.Th. 16(2012), 189-211.
  • On the cleanness of cuspidal character sheaves, Moscow Math.J. 12(2012), 621-631.
  • (with T.Xue) Elliptic Weyl group elements and unipotent isometries with $p=2$, Represent.Th. 16(2012), 270-275.
  • (with D.Vogan) Hecke algebras and involutions in Weyl groups, Bull.Inst.Math.Acad.Sinica(N.S.) 7(2012), 323-354.
  • A bar operator for involutions in a Coxeter group, Bull.Inst.Math.Acad.Sinica (N.S.) 7(2012), 355-404.
  • From conjugacy classes in the Weyl group to unipotent classes III, Represent.Th.16(2012),450-488.
  • On the representations of disconnected reductive groups over F_q, in "Recent developments in Lie Algebras, Groups and Representation theory" ed. K.Misra, Proc.Symp.Pure Math. Amer.Math.Soc. 86(2012).
  • (with Z.Yun) A (-q)-analogue of weight multiplicities, Jour.Ramanujan Math.Soc.29A(2013), 311-340.
  • (with J.-L.Kim) On the characters of unipotent representations of a semisimple p-adic group, Repres.Th.17(2013),426-441.
  • Asymptotic Hecke algebras and involutions, Perspectives in Represent.Th. ed.P.Etingof et.al., Contemp.Math.610 (2014).
  • Families and Springer's correspondence, Pacific J.Math. 267(2014), 431-450.
  • Restriction of a character sheaf to conjugacy classes, Bull.Soc.Math.Roumanie 58(2015) 297-309.
  • (with J.-L.Kim) On the Steinberg character of a semisimple p-adic group, Pacific J.Math. 265(2013), 499-509.
  • (with D.Vogan) Quasisplit Hecke algebras and symmetric spaces, Duke Math.J. 163(2014), 983-1070.
  • Unipotent almost characters of simple $p$-adic groups, Ast'erisque 370(2015), 243-267, arxiv:1212.6540
  • Unipotent almost characters of simple $p$-adic groups, II, Transfor.Gr. 19(2014), 527-547, arxiv:1303.5026
  • Distinguished conjugacy classes and elliptic Weyl group elements, Represent.Th. 18(2014),223-277.
  • On conjugacy classes in a reductive group, Representations of Reductive Groups, Progr.in Math. 312, Birkh\"auser 2015, 333-363.
  • Truncated convolution of character sheaves, arxiv:1308.1082, Bull.Inst.Math.Acad.Sinica(N.S.) 10(2015),1-72.
  • On conjugacy classes in the Lie group E_8, arxiv:1309.1382, Bull.Soc.Math.Roumanie 63(2020).91-94
  • (with D.Vogan) Hecke algebras and involutions in Coxeter groups, Proc.Vogan conf. Birkh\"auser 2015.
  • Unipotent representations as a categorical centre, Repres.Th. 19(2015) 211-235
  • Exceptional representations of Weyl groups, J.Alg. 475(2017) 4-20
  • Action of longest element on a Hecke algebra cell module, Pacific.J. 279(2015) 383-396.
  • On the character of certain irreducible modular representations, Represent.Th. 19(2015), 3-8.
  • Algebraic and geometric methods in representation theory, arxiv:1409.8003.
  • Some power series involving involutions in Coxeter groups, Represent.Th. 19(2015) 281-289.
  • Nonsplit Hecke algebras and perverse sheaves, Selecta Math. 22(2016) 1953-1986.
  • (with G.Williamson) On the character of certain tilting modules, Science China Math. 61(2018) 296-298.
  • Non-unipotent character sheaves as a categorical centre, Bull. Inst. Math. Acad.Sinica (NS) 11(2016), 603-731
  • An involution based left ideal in the Hecke algebra, Represent.Th. 20(2016),172-186.
  • Generic character sheaves on groups over $\kk[\e]/(e^r)$, Categorification and higher representation theory, Contemp.Math. 683(2017), 227-246.
  • Generalized Springer correspondence and weight functions, Ann.Univ. Ferrara Sez.VII, Sci.Mat. 63(2017), 159-167.
  • On the definition of almost characters, Lie Groups, Geometry and Representation Theory, ed. V.Kac, V.Popov, Birkhauser 2018 Progr.in Math.326
  • Special representations of Weyl groups: a positivity property, Adv.in Math. 327(2018) 161-172
  • (with Z.Yun) Z/m-graded Lie algebras and perverse sheaves, I, Repres.Th. 21(2017) 277-321
  • The canonical basis of the quantum adjoint representation, J.Comb.Alg. 1(2017) 45-57.
  • (with Z.Yun) Z/m-graded Lie algebras and perverse sheaves, II, Represent.Th. 21(2017) 322-353.
  • (with Z.Yun) Z/m-graded Lie algebras and perverse sheaves, III: graded double affine Hecke algebra, Repres.Th. 22(2018) 87-118.
  • On the generalized Springer correspondence, Representations of reductive groups, Proc.Symp.Pure Math., Amer.Math.Soc.101(2019) 219-253
  • Non-unipotent representations and categorical centres, Bull.Inst.Math.Acad.Sinica (NS), 12(2017),205-296.
  • (with G.Williamson) Billiards and tilting characters for SL_3. SIGMA, Symmetry, Integrability, Geom. Methods Appl. 2018, 22 pages
  • Conjugacy classes in reductive groups and two-sided cells, Bull.Inst.Math.Acad.Sinica (NS) 14(2019), 265-293.
  • Comments on my papers, axiv:1707.09368
  • Lifting involutions in a Weyl group to the torus normalizer, Repres.Th. 22(2018) 27-44
  • Hecke modules based on involutions in extended Weyl groups, Repres.Th. 22(2018) 246-277.
  • Discretization of Springer fibres, Bull.Math.Soc.Math.Roum. 114(2023) 255-263, arxiv:1712.07530
  • A new basis for the representation ring of a Weyl group, Repres.Th. 23(2019) 439-461
  • Positive conjugacy classes in Weyl groups, Bull.Inst.Math.Acad.Sin.15(2020) 277-285.
  • (with Z.Yun) Z/m-graded Lie algebras and perverse sheaves,IV, Rep.Th. 24(2020)360-396.
  • Reducing mod p complex representations of finite reductive groups, Repres.Th. 25(2021), 166-172.
  • Positive structures in Lie theory, Notices of Int.Cong.Chinese Math. 8 (2020) 50-54.
  • Remarks on affine Springer fibres, Bull.Inst.Math.Acad.Sinica 15(2020),1-7, arxiv:1902.01006.
  • (with Z.Yun) Endoscopy for Hecke categories, character sheaves and representations, Forum of Mathematics, Pi,8(2020), E12. doi:10.1017/fmp.2020.9.
  • Total positivity in reductive groups,II, Bull.Inst.Math.Acad.Sinica 14(2019),403-460.
  • On the totally positive grassmannian, Bull.Math.Soc.Math.Roum. 66(2023), 455-458, arxiv:1905.09254
  • The Grothendieck group of unipotent representations: a new basis, Represent.Th. 24(2020),178-209.
  • Total positivity in Springer fibres, Quart.J.Math. 72(2021),31-49.
  • Michael Atiyah and representation theory, Notices of AMS, 2019
  • (with Z.Yun) From conjugacy classes in the Weyl group to representations, "Categorical, combinatorial and geometric representation theory and related topics", Proc.Symp.Pure Appl.Math. 108(2024) Amer.Math.Soc. 453-464, arxiv:1912.01754
  • The flag manifold over the semifield $\ZZ$, Bull.Inst.Math.Acad.Sin. 2020.
  • Fourier transform as a triangular matrix, Repres.Th.24(2020), 470-482.
  • Partial flag manifolds over a semifield, Repres.Th. 24(2020), 397-402
  • On induction of class functions, Represent.Th. 25(2021), 412-421
  • Strata of a disconnected reductive group, Indagat.Math. 32(2021), 968-986
  • Open problems on Iwahori-Hecke algebras, arxiv:2006.08535, EMS Newsletter, Sep.2020.
  • From families in Weyl groups to Springer representations, Bull.Inst.Math.Acad.Sin. 18(2023),1-14, arxiv:2206.16159
  • Springer's work on unipotent classes and Weyl group representations, Indag.Math. 32(2021),939-943
  • Unipotent blocks and weighted affine Weyl groups, in "Categorical, combinatorial and geometric representation theory and related topics", Proc.Symp.Pure Appl.Math. 108(2024) Amer.Math.Soc. 435-452, arxiv:2010.02095
  • On the definition of unipotent representations, arxiv:2011.01824
  • On the Satake isomorphism, Transfor.Groups 28(2023),1191-1204, arxiv:2012.00569
  • (with S.Fomin) Coordinate rings and birational charts, Repres.Th.26(2022),1-16
  • Two partitions of a flag manifold, arxiv:2103.01174
  • Adjacency for special representations of a Weyl group, Bull.Inst.Math.Acad.Sin. 17(2022), 125-141.
  • Traces on Iwahori-Hecke algebras and counting rational points, arxiv:2105.04061
  • Distinguished strata in a reductive group, Repres.Th. 26(2022), 698-713
  • (with D.Vogan) Involutions in Weyl groups and nil-Hecke algebras, Bull.Inst.Math.Acad.Sin. 17(2022),372-382
  • Total positivity in symmetric spaces, Repres.Th. 26(2022), 1025-1046
  • A parametrization of unipotent representations, Bull.Inst.Math.Acad.Sin. 17(2022), 249-307
  • From Weyl groups to semisimple groups, Repres.Th. 27(2023),51-61
  • (with X.He) Total positivity and conjugacy classes, arxiv:2201.12479
  • Remarks on totally positive flag manifolds, arxiv:2208.03838
  • On bases of certain Grothendieck groups, Bull.Inst.Math.Acad.Sin. 18 (2023), 105-131, arxiv:2209.02014
  • The quantum group $\dot U$ and flag manifolds over the semifield $Z$, Bull.Inst.Math.Acad.Sin. 18(2023),235-267, arxiv:2209.02433
  • Unipotent character sheaves and strata of a reductive group, Repres.Th. 27(2023),1126-1141, arxiv:2210.14422
  • Unipotent character sheaves and strata of a reductive group, II, arxiv:2212.10412
  • Half circles on flag manifolds over a semifield, Bull.Inst.Math.Acad.Sin. 19(2024),1-13, arxiv:2212.09959
  • Precuspidal families and indexing of Weyl group representations, Bull.Inst.Math.Acad.Sin. 19(2024),77-99, arxiv:2304.05130
  • Rigid strata in a reductive group, arxiv:2304.05562
  • On bases of certain Grothendieck groups, II, arxiv:2307.01950
  • (with M.Dyer) A study of intersections of Schubert varieties, arxiv:2307.04646
  • Families of isotropic subspaces in a symplectic $Z/2$-vector space, arxiv:2307.09453 Bull Math Soc.Math.Roum.27(2024),287-303
  • Sharpness versus bluntness in affine Weyl groups, arxiv:2309.09966
  • (with E.Sommers) Constructible representations and Catalan numbers, to appear Pacific J.Math. arxiv:2403.02550
  • On the new bases attached to families of Weyl groups, arxiv:2403.17746
  • Almost special representations of Weyl groups, arxiv:2405.04410
  • Strata and almost special representations, arxiv:2407.20960
  • A monotonicity property of the new basis of C[(Z/2)^D], arxiv:2407.20953
  • From classes in the Weyl group to strata, arxiv:2408.09584