Publications

PUBLICATIONS (books (83, 78, 71, 69, 60, 7) in boldface)

92. The finite subgroups of SL(3,\ov{F}); São Paulo Journal of Mathematical Sciences (2020). 

91. Affine quantum super Schur-Weyl duality; Algebras and Representation Theory 23 (2020), 135-167.

90. Conjugacy classes of finite subgroups of SL(2,F), SL(3, F); Journal de Théorie des Nombres de Bordeaux 31 (2019), 555-571. 

89. Polynomial representations of GL(m|n); Hardy-Ramanujan Journal. Special Commemorative volume in honour of Alan Baker 42 (2019), 38-57.

88. Alan Baker, as I knew him; Hardy-Ramanujan Journal. Special Commemorative volume in honour of Alan Baker 42 (2019), 12-16.

87. (with Piotr Krasoń) Multiplicative relations of points on algebraic groups; Bulletin of the Polish Academy of Science 65 (2017), 125-138.

86. Counting local systems via the trace formula; Journal für die reine und angewandete Mathematik 731 (2017), 139-157. Published Online: 04/03/2015.

85. (with A. Aydoğdu, E. Özkan, R. Öztürk) Explicit forms of the trace formula for GL(2); Journal d’Analyse Mathématique 171 (2017), 1-71.

84. Local integrability of characters on GL(2), orbital integrals, germs; Journal of Lie Theory 27 (2017), 123-137.

83. Arthur’s invariant trace formula and comparison of inner forms, 566+xi pp., Birkhäuser, Springer Verlag (2016).

82. Counting Galois representations with at most one, unipotent, monodromy; American Journal of Mathematics 137 (2015), 739-763.

81. Harmonic analysis on the Iwahori-Hecke Algebra; Japanese Journal of Mathematics 9 (2014), no. 2, 171-216. 

80. Eisenstein series and the trace formula for GL(2) over a function field; Documenta Mathematica 19 (2014), 1-62.

79. (with P. Deligne) Counting local systems with principal unipotent local monodromy; Annals of Mathematics 178 (2013), 921-982.

78. Drinfeld moduli schemes and automorphic forms: The theory of elliptic modules with applications, 154+v pages; SpringerBriefs in Mathematics series (2013), ISBN 978-1-4614-5887-6.

77. (with D. Zinoviev) Computation of a twisted character of a small representation of GL(3,E); International Journal of Number Theory 8 (2012), 1153-1230.

76. Cusp forms on GSp(2) with SO(4)-periods; International Journal of Number Theory 7 (2011), 855-919.

75. The tame algebra; Journal of Lie Theory 21 (2011), 469-489.

74. Base change for Hilbert eigenvarieties of unitary groups; Journal of Mathematical Sciences 171 (2010), 786-812. Zapiski Nauchnykh Seminarov POMI 377 (2010), 148-198.

73. (with P.-S. Chan) Cyclic odd degree base change lifting for unitary groups in three variables; International Journal of Number Theory 5 (2009), 1247-1309.

72. On level-raising congruences; Asian Journal of Mathematics 13 (2009), 151-180.

71. Automorphic representations of low rank groups; 487+xi pages; World Scientific, June 2006, ISBN 981-256-803-4. Part 1. On the symmetric square lifting. Part 2. Automorphic representations of the unitary group U(3, E/F).  Part 3. Zeta functions of Shimura varities of U(3).

70. (with D. Zinoviev) Twisted character of a small representation of GL(4); International Journal of Number Theory 2 (2006), 329-350.

69. Automorphic forms and Shimura varieties of PGSp(2); 325+xi pages; World Scientific, August 2005, ISBN 981-256-403-9. Part 1. Lifting automorphic forms of PGp(2) and SO(4) to PGL(4).  Part 2. Zeta functions of Shimura varities of PGSp(2). Part 3. Background on automorphic forms.

68. Characters, genericity, and multiplicity one for U(3); Journal d’Analyse Mathématique 94 (2004), 1-15.

67. (with D. Zinoviev) Twisted character of a small representation of PGL(4); Moscow Mathematical Journal 4 (2004), 333-368.

66. Automorphic forms on SO(4); Proceedings of the Japan Academy 80 (2004), 100-104. 

65. Automorphic forms on PGSp(2); Electronic Research Announcements of the American Mathematical Society 10 (2004), 39-50.

64. Automorphic forms on PGSp(2); notes based on a talk at Arbeitstagung 2003, MPI für Mathematik, Bonn preprint series, 1-14.

63. (with D. Zinoviev) On the symmetric square. Unstable twisted characters; Israel Journal of Mathematics 134 (2003), 307-316.

62. A remark on local-global principles for conjugacy classes; Arkiv för Matematik 40 (2002), 47-53.

61. Motivic torsors; Israel Journal of Mathematics 122 (2001), 61-77.

60. Matching of orbital integrals on GL(4) and GSp(2); Memoirs of the American Mathematical Society 137 (1999), 1-114.

59. A Fourier fundamental lemma for the symmetric space GL(n)/GL(n − 1); Journal of the Ramanujan Mathematical Society 14 (1999), 95-107.

58. Automorphic forms with anisotropic periods on a unitary group; Journal of Algebra 220 (1999), 636-663.

57. Stable bi-period summation formula and transfer factors; Canadian Journal of Mathematics 51 (1999), 771-791.

56. Matching Fourier orbital integrals on a unitary group via perverse sheaves; notes based on a talk at the August 1998 ICM Satellite conference “Algebraic Groups and Related Structures” at Bielefeld, SFB-343 Preprint series, 1-19.

55. (with C. Scheiderer, R. Sujatha) Grothendieck’s theorem on non-abelian H2 and local-global principles; Journal of the American Mathematical Society 11 (1998), 731-750. 

54. Elementary proof of a fundamental lemma for a unitary group; Canadian Journal of Mathematics 50 (1998), 74-98.

53. Cyclic automorphic forms on a unitary group; Journal of Mathematics Kyoto University 37 (1997), 367-439.

52. Cusp forms on GL(2n) with GL(n)× GL(n) periods and simple algebras; Mathematische Nachrichten 183 (1997), 91-111.

51. Report on the fundamental lemma for GL(4) and GSp(2); Automorphic forms on algebraic groups (1996), 190-206, RIMS, Kyoto.

50. Orbital integrals on symmetric spaces and spherical characters; Journal of Algebra 184 (1996), 705-754.

49. On the symmetric square. Unit elements; Pacific Journal of Mathematics 175 (1996), 507-526.

48. (with D. Zinoviev) On poles of twisted tensor L-functions; Proceedings of the Japan Academy 71 (1995), 114-116. 

47. Quadratic cycles on GL(2n) cusp forms; Journal of Algebra 174 (1995), 678-697.

46. Bernstein isomorphism and good forms; K-Theory and Algebraic Geometry: Connec- tions with Quadratic Forms and Division Algebras, 1992 Summer Research Institute; Proceedings of Symposia in Pure Mathematics 58 II (1995), 171-196; Bill Jacob and Alex Rosenberg eds., AMS, Providence RI.

45. (with J. Hakim) Quaternionic distinguished representations; American Journal of Mathematics 116 (1994), 683-736.

44. On the symmetric square. Total global comparison; Journal of Functional Analysis 122 (1994), 255-278.

43. (with J. G. M. Mars) Products of Theta series and spectral analysis; Journal of Number Theory 47 (1994), 224-245.

42. On zeroes of the twisted tensor L-function; Mathematische Annalen 297 (1993), 199-219.

41. A Fourier summation formula for the symmetric space GL(n)/GL(n − 1); Compositio Mathematicae 88 (1993), 39-117.

40. Distinguished representations and a Fourier summation formula; Bulletin de la Société Mathématique de France 120 (1992), 413-465.

39. (with J. G. M. Mars) Summation formulae, automorphic realizations and a special value of Eisenstein series; Journal of Mathematics Kyoto University 32 (1992), 715-729.

38. The adjoint representation L-function for GL(n); Pacific Journal of Mathematics 154 (1992), 231-244.

37. On the symmetric square. Applications of a trace formula; Transactions of the American Mathematical Society 330 (1992), 125-152.

36. On the symmetric square. Twisted trace formula; Journal of Functional Analysis 98 (1991), 194-210.

35. On the symmetric square. Definitions and lemmas; Transactions of the American Mathematical Society 330 (1992), 111-124.

34. On distinguished representations; Journal für die reine und angewandte Mathematik 418 (1991), 139-172.

33. Transfer of orbital integrals and division algebras; Journal of the Ramanujan Mathematical Society 5 (1990), 107-122.

32. Explicit realization of a higher metaplectic representation; Indagationes Mathematicae, New Series 1 (1990), 417-434.

31. (with D. Kazhdan and G. Savin) Explicit realization of a metaplectic representation; Journal d’Analyse Mathématique 55 (1990), 17-39.

30. Regular trace formula and base change for GL(n); Annales de l’Institute Fourier 40 (1990), 1-30.

29. Drinfeld moduli schemes and automorphic forms; mimeographed notes, Harvard (1989). 

28. Base change trace identity for U(3); Journal d’Analyse Mathématique 52 (1989), 39-52.

27. Twisted tensors and Euler products; Bulletin de la Société Mathématique de France 116 (1988), 295-313.

26. (with D. Kazhdan) Geometric Ramanujan conjecture and Drinfeld reciprocity law, in Number Theory, Trace Formulas and Discrete Groups, Selberg Symposium, Oslo, June 1987, Academic Press (1988), 201-218. http://www.math.osu.edu/~flicker. 1/fkd.pdf.

25. On endo-lifting; Compositio Mathematica 67 (1988), 271-300.

24. Regular trace formula and base-change lifting; American Journal of Mathematics 110 (1988), 739-764.

23. Packets and liftings for U(3); Journal d’Analyse Mathématique 50 (1988), 19-63.

22. (with D. Kazhdan) A simple trace formula; Journal d’Analyse Mathématique 50 (1988), 189-200.

21. (with D. Kazhdan) On the symmetric square. Unstable local transfer; Inventiones Mathematicae 91 (1988), 493-504.

20. Rigidity for Automorphic forms; Journal d’Analyse Mathématique 49 (1987), 135-202. 19. On the symmetric square. Orbital integrals; Mathematische Annalen 279 (1987), 173-191.

18. Unramified Whittaker functions on the metaplectic group; Proceedings of the American Mathematical Society 101 (1987), 431-435.

17. Stable base change for spherical functions; Nagoya Mathematical Journal 106 (1987), 121-142.

16. Relative trace formula and simple algebras; Proceedings of the American Mathematical Society 99 (1987), 421-426.

15. (with D. Kazhdan) Metaplectic correspondence; Publications Mathématiques d’IHES 64 (1987), 53-110.

14. Unitary quasi-lifting: applications; Transactions of the American Mathematical Society 294 (1986), 553-565.

13. Unitary quasi-lifting: preparations; Contemporary Mathematics 53 (1986), 119-139. 

12. On twisted liftings; Transactions of the American Mathematical Society 290 (1985), 161-178.

11. L-packets and liftings for U(3); mimeographed notes, Princeton 1982.

10. The adjoint lifting from SL(2) to PGL(3); IHES preprint series 1981.

9. Outer automorphisms and instability; Théorie de Nombres, Paris, 1980-1981, Progress in Mathematics, vol. 22 (1982), 57-65, Birkhauser.

8. Stable and labile base change for U(2); Duke Mathematical Journal 49 (1982), 691-729. 

7. The trace formula and base change for GL(3); Lecture Notes in Mathematics 927 (1982), 1-200, Springer-Verlag.

6. Automorphic forms on covering groups of GL(2); Inventiones Mathematicae 57 (1980), 119-182.

5. Linear forms on abelian varieties over local fields; Acta Arithmetica 37 (1980), 47-61. 

4. Linear forms on abelian varieties: Ineffective bounds; Société Mathématique de France, Mémoire No. 2 (1980), 41-47.

3. On analytic models of degenerating abelian varieties; Bulletin Société Mathématique de France 107 (1979), 283-293.

2. Algebraic independence by a method of Mahler; Journal of the Australian Mathematical Society (A) 27 (1979), 173-188.

1. On p-adic G-functions; Journal of the London Mathematical Society 15 (1977), 395-402. 

Proper links will be added when I have the time:

• Arthur’s invariant trace formula and comparison of inner forms, 567+xi pp., Birkhäuser, Springer Verlag (2016) 

• Drinfeld moduli schemes and automorphic forms: The theory of elliptic modules with applications; SpringerBriefs in Mathematics series (2013).

• (with D. Zinoviev)  Computation of a twisted character of a small representation of GL(3,E); International Journal of Number Theory 8 (2012), 1153-1230.

• Cusp forms on GSp(2) with SO(4)-periods; International Journal of Number Theory 7 (2011), no. 4, 855-919.

• Base change for Hilbert eigenvarieties of unitary groups; Journal of Mathematical Sciences 171 (2010), 786-812, Zapiski Nauchnykh Seminarov POMI 377 (2010), 148-198.

• (with P.-S. Chan)  Cyclic odd degree base change lifting for unitary groups in three variables ; International Journal of Number Theory 5 (2009), 1247-1309.

• On level-raising congruences; Asian Journal of Mathematics 13 (2009), 151-180.

• (with D. Zinoviev) Twisted character of a small representation of GL(4); International Journal of Number Theory 2 (2006), 329-350.

• Bernstein isomorphism and good forms; Proceeding Symposia Pure Math. 58.2 (1995), 171-196. bdk d