1. Shimura sums related to quadratic imaginary fields
    Proceedings of the Japan Academy of Sciences 70(A), No. 5, 1994, pp. 146-151
  2. Congruences on the Fourier coefficients of modular forms on Γ0(N)
    The Rademacher Legacy to Mathematics, Contemporary Mathematics 166, 1994, pp. 93-105
  3. On the positivity of the number of partitions that are t-cores
    Acta Arithmetica 66, No. 3, 1994, pp. 221-228
  4. Superlacunary cusp forms (with Sinai Robbins)
    Proceedings of the America Mathematical Society 123, No. 4, 1995, pp. 1021-1029
  5. Parity of the partition function
    Electronic Research Announcements of the American Mathematical Society 1, No. 1, 1995, pp. 35-42
  6. On the representation of integers as sums of triangular number (with Sinai Robbins and Patrick Wahl)
    Aequationes Mathematica 50, 1995, pp. 73-94
  7. A note on the number of t-core partitions
    The Rocky Mountain Journal of Mathematics 25, No. 3, 1995, pp. 1165-1169
  8. A note on the Shimura correspondence and the Ramanujuan τ(n) function
    Utilitas Mathematica 47, 1995, pp. 170-180
  9. Congruences for Frobenius partitions
    Journal of Number Theory 57, No. 1, 1996, pp. 331-347
  10. Defect zero p-blocks for finite simple groups (with Andrew Granville)
    Transactions of the American Mathematical Society 348, No. 1, 1996, pp. 331-347
  11. On the parity of the partition function in arithmetic progressions
    Journal fur die reine und angewandte Mathematik 472, 1996, pp. 1-15
  12. Congruences for the Fourier coefficients of half-integral weight modular forms and special values of L-functions (with Antal Balog and Henri Darmon)
    Proceedings for a Conference in Honor of Heini Halbestam 1, 1996, pp, 105-128
  13. Congruences for partition functions (with Dennis Eichlorn)
    Proceedings for a Conference in Honor of Heini Halbertstam 1, 1996, pp, 309-321
  14. Rank zero quadratic twists of modular elliptic curves
    Compositio Mathematica 104, 1996, 293-304
  15. Quadratic forms and elliptic curves III (with Takashi Ono)
    Proceedings of the Japan Academy of Sciences 72(A), 1996, pp. 204-205
  16. Euler's concordant forms
    Acta Arithmetica 65, 1996, pp. 101-123
  17. Some recurrences for arithmetical functions (with Neville Robbins and Brad Wilson)
    Journal of the Indian Mathematical Society 62, 1996, pp, 29-50
  18. Divisibility properties of certain partition functions by powers of primes (with Basil Gordon)
    The Ramanujan Journal 1, 1997, pp, 25-35
  19. Parity of the Fourier coefficients of modular forms (with Brad Wilson)
    Illinois Journal of Mathematics 41, 1997, pp. 142-150
  20. Odd values of the partition function
    Discrete Mathematics 169, 1997, pp. 263-268
  21. 4-core partitions and class numbers (with Lawrence Sze)
    Acta Arithmetica 65, 1997, pp. 249-272
  22. Twists of elliptic curves
    Compositio Mathematica 106, 1997, pp. 349-360
  23. Ramanujan, taxicabs, birthdates, zipcodes and twists
    American Mathematical Monthly 104, No. 10, 1997, pp. 912-917
  24. Tate-Shafarevich groups of the congruent number elliptic curves
    Acta Arithmetica 81, 1997, pp. 247-252
  25. Ramanujan's ternary quadratic form (with Soundararajan Kannan)
    Inventiones Mathematicae 130, No. 3, 1997, pp. 415-454
  26. Eta-quotients and elliptic curves (with Yves Martin)
    Proceedings of the American Mathematical Society 125, 1997, pp. 3169-3176
  27. Values of Gaussian hypergeometric series
    Transactions of the American Mathematical Society 350, No. 3, 1998, pp. 1205-1223
  28. A binomial coefficient identity related to a conjecture of F. Beukers (with Scott Ahlgren, Shalosh Ekhad, Doron Zeilberger)
    Electronic Journal of Combinatorics 5, No. 1, 1998, R10
  29. Fourier coefficients of half-integral weight modular forms modulo l (with Chris Skinner)
    Annals of Mathematics 147, No. 2, 1998, pp. 453-470
  30. Gordon's ε-conjecture on the lacunarity of modular forms
    Comptes Rendues Math. Rep. of Acad. Sci. Canada 20, No. 4, 1998, pp, 103-107
  31. Partitions into distinct parts and elliptic curves
    Journal of Combinatorial Theory 82(A), 1998, pp. 193-201
  32. A note on a question of J. Nekovar and the Birch and Swinnerton-Dyer Conjecture
    Proceedings of the American Mathematical Society 126, 1998, pp. 2849-2853
  33. The residue of p(n) modulo small primes
    Erdos Memorial Issue, The Ramanujan Journal 2, 1998, pp, 47-54
  34. The partition function in arithmetic progressions
    Mathematische Annalen 312, 1998, pp, 251-260
  35. Rook theory and t-cores (with Jim Haglund and Lawrence Sze)
    Journal of Combinatorial Theory 84(A), 1998, pp. 9-37
  36. Corrigendum: Fourier coefficients of half-integral weight modular forms modulo l (wtih Chris Skinner)
    Annals of Mathematics 148, 1998, p. 361
    A typesetting error occured in #29
  37. Nonvanishing of quadratic twists of modular L-functions (with Chris Skinner)
    Inventiones Mathematicae 134, 1998, pp. 651-660
  38. Integers represented by ternary quadratic forms (with Soundararajan Kannan)
    Proceedings of the 5th Meeting of the Canadian Number Theory Association, CRM Proceedings and Lecture Notes 19, 1998, pp. 527-532
  39. A note on the irreducibility of Hecke polynomials (with Kevin James)
    Journal of Number Theory 73, 1998, pp. 527-532
  40. Nonvanishing of values of modular L-functions and some applications (with Jan Hendrick Bruinier, Kevin James, Winfried Kohnene, Vinayak Vatsal, Chris Skinner)
    Proceedings of Topics in Number Theory, Kluwer Academic Publishers, 1999, pp. 115-126
  41. Theorems and conjectures involving rook polynomials with real roots (with Jim Haglund and David Wagner)
    Proceedings of Topics in Number Theory, Kluwer Academic Publishers, 1999, pp. 207-222
  42. Indivisibility of class numbers of imaginary quadratic fields and orders of Tate-Shafarevich groups of elliptic curves with complex multiplication (with Winfried Kohnen)
    Inventiones Mathematicae 135, 1999, pp. 387-398
  43. Selmer groups of quadratic twists of modular elliptic curves (with Kevin James)
    Mathematische Annalen 314, 1999, pp. 1-17
  44. Ramanujan's unpublished manuscript on the partition and tau functions with commentary (with Bruce Berndt)
    The Andrews Festchrift, (eds.) D. Foata, G.-N. Han, Springer Verlag, 2001, pp. 39-110
  45. On the circular summation of the eleventh powers of Ramanujan's theta function
    Journal of Number Theory 76, 1999, pp. 62-65
  46. Indivisibility of class numbers of real quadratic fields
    Compositio Mathematica 119, 1999, pp. 1-11
  47. The partition function and the arithmetic of certain modular L-functions (with Li Guo)
    International Mathematical Research Notices, 1999, No. 21, pp. 1179-1197
  48. Distribution of the partition function modulo m
    Annals of Mathematics 151, 2000, pp. 293-307
  49. A Gaussian hypergeometric series evaluation and Apery number congruences (with Scott Ahlgren)
    Journal fur die reine und angewandte Mathematik 518, 2000, pp. 187-212
  50. Modularity of a certain Calabi-Yau threefold (with Scott Ahlgren)
    Monatshefte fur Mathematik 129, 2000, pp. 177-190
  51. On "good" half-integral weight modular forms (with Jorge Jimenez-Urroz)
    Mathematics Research Letters 7, No. 2, 2000, pp. 205-212
  52. The 2-adic behavior of the number of partitions into distinct parts (with David Penniston)
    Journal of Combinatorial Theory 92(A), 2000, pp. 138-157
  53. Nonvanishing of quadratic twists of modular L-functions with applications for elliptic curves
    Journal fur die reine und angewandte Mathematik 533, 2001, pp. 81-97
  54. Differential endomorphisms for modular forms on Γ0(4)
    Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics, (eds.) F. Garvan, M. Ismail, Kluwer Academic Publishers, 1999, pp. 223-230
  55. q-series identities and values of certain L-functions (with George Andrews and Jorge Jimenez-Urroz)
    Duke Mathematical Journal 108, 2001, pp. 395-419
  56. Corrigendum: The 2-adic behavior of the number of partitions into distinct parts (with David Penniston)
    Journal of Combinatorial Theory 95(A), 2001, p. 196
    Theorem 11 of #52 was stated incorrectly
  57. Parity of the partiton function in arithmetic progressions II (with Matthew Boylan)
    Bulletin of the London Mathematical Society 33, No. 5, 2001, pp. 558-564
  58. Addition and counting: The arithmetic of partitions (with Scott Ahlgren)
    Notices of the American Mathematical Society 48, October 2001, pp. 978-984
  59. Arithmetic of the partition function
    Proceedings of the NATO Advances Study Institute on Special Functions, Special Functions 2000, (eds.) J. Bustoz, S. Suslov, Kluwer Academic Publishers, pp. 243-253
  60. Prime power degree representations of the symmetric and alternating groups (with Antal Balog, Christine Bessenrodt, Jorn Olsson)
    Journal of the London Mathematical Society 64, 2001, pp. 344-356
  61. Congruence properties for the partition function (with Scott Ahlgren)
    Proceedings of the National Academy of Sciences, USA, 98, Issue 23, 2001, pp. 12882-12884
  62. The Chebotarev density theorem in short intervals and some questions of Serre (with Antal Balog)
    Journal of Number Theory 91, 2001, pp. 356-371
  63. Congruences and conjectures for the partition function (with Scott Ahlgren)
    Proceedings of the Conference on q-series with Applications to Combinatorics, Number Theory and Physics, AMS Contemporary Mathematics 291, 2001, pp 1-10
  64. Extension of Ramanujan's congruences for the partition function modulo powers of 5 (with Jeremy Lovejoy)
    Journal fur die reine angewandte Mathematik 542, 2002, pp. 123-132
  65. Zeta functions of an infinite family of K3 surfaces (with Scott Ahlgren and David Penniston)
    American Journal of Mathematics 124, 2002, pp. 353-368
  66. Representations of integers as sums of squares
    Journal of Number Theory 95, 2002, pp. 253-258
  67. A q-series identity and the arthmetic of Hurwitz zeta-functions (with Gwynneth Coogan)
    Proceedings of the American Mathematical Society 131, 2003, pp. 719-724
  68. Quadratic twists of modular forms and elliptic curves (with Matthew Papanikolas)
    Proceedings of the Millenial Number Theory Conference, (eds.) M.A. Bennet, et. al., Vol. III, A.K. Peters, 2002, pp. 73-86
  69. Congruences for 3F2 hypergeometric functions over finite fields (with David Penniston)
    Illinois Journal of Mathematics 46, 2002, pp. 679-684
  70. Weierstrass points on X0(p) and supersingular j-invariants (with Scott Ahlgren)
    Mathematiche Annalen 325, 2003, pp. 355-368
  71. Coefficients of half-integral weight modular forms (with Jan Bruinier)
    Journal of Number Theory 99, 2003, pp. 164-179
  72. Modular form congruences and Selmer groups (with William McGraw)
    Journal of the London Mathematical Society 67, 2003, pp. 302-318
  73. Arithmetic of the coefficients of Cohen's Eisenstein series (with Antal Balog and William McGraw)
    Acta Arithmetica 107, 2003, pp. 337-344
  74. Hypergeometric generating functions for the values of Dirichlet and other L-functions (with Jeremy Lovejoy)
    Proceedings of the National Academy of Sciences, USA, 100, No. 12, 2003, pp. 6904-6909
  75. Baxter algebras and Hopf algebras (with George Andrews, Li Guo, William Keigher)
    Transactions of the American Mathematical Society 355, 2003, pp. 4639-4656
  76. The life and work of R.A. Rankin (with Bruce Berndt and Winfried Kohnen)
    The Ramanujan Journal 7, 2003, pp. 11-40
  77. Elements of class groups and Shafarevich-Tate groups of elliptic curves (with Antal Balog)
    Duke Mathematical Journal 120, 2003, pp. 35-63
  78. Arithmetic of Borcherds' exponents (with Jan Bruinier)
    Mathematische Annalen 327, 2003, pp. 293-303
  79. p-adic properties of the values of the j-function (with Matt Papanikolas)
    Galois Theory and Modular Forms, (eds.) K. Hashimoto, K. Miyake, H. Nakamura, Kluwer Academic Publishers, 2003, pp. 357-366
  80. The arithmetic of the values of modular functions and the divisors of modular forms (with Jan Bruinier and Winfried Kohnen)
    Compositio Mathematica 140, 2004, pp. 552-566.
  81. Arithmetic of certain hypergeometric modular forms (with Karl Mahlburg)
    Acta Arithmetica 113, 2004, pp. 39-55.
  82. Hecke operators and the q-expansion of modular forms
    Proceedings of the 7th Meeting of the Canadian Number Theory Association, Montreal 2002, CRM Conference Proceedings and Lecture Notes 36, 2004, American Mathematical Society, pp. 229-235.
  83. Arithmetic of singular moduli and class polynomials (with Scott Ahlgren)
    Compositio Mathematica, 141, 2005, pp. 293-312.
  84. Gaussian hypergeometric functions and Hecke operators (with Sharon Frechette and Matt Papanikolas)
    International Mathematical Research Notices, 60, 2004, pp. 3233-3262.
  85. Corrigendum: Coefficients of half-integral weight modular forms (with Jan Bruinier)
    Journal of Number Theory 104, 2004, pp. 378-379.
    The hypothesis that M is prime is needed from Theorems 1 and 2.3 of #71
  86. 2-adic properties of certain modular forms and their applications to arithmetic functions (with Yuichiro Taguchi),
    International Journal of Number Theory, 1, No. 1 2005, pp. 75-101.
  87. Partitions and McKay numbers for Sn ,
    Journal of Combinatorial Theory, Series A, 108, 2004, pages 185-197.
  88. The combinatorics of traces of Hecke operators (with Sharon Frechette and Matt Papanikolas)
    Proceedings of the National Academy of Sciences, USA, 101 No. 49, 2004, pages 17016-17020.
  89. Linear relations between modular form coefficients and non-ordinary primes (with YoungJu Choie and Winfried Kohnen),
    Bulletin of the London Mathematical Society, 37, Part 3, 2005, pages 335-341.
  90. Hilbert class polynomials and traces of singular moduli (with Jan Bruinier and Paul Jenkins),
    Mathematische Annalen, 334 no. 2, 2006, pages 373-393.
  91. On the work of Basil Gordon (with George E. Andrews, Krishnaswami Alladi, and Richard McIntosh),
    Note added in the proof,
    Journal of Combinatorial Theory, Series A, 113, 2006, pages 21-38.
  92. Reduction of CM elliptic curves and modular function congruences (with Noam D. Elkies and Tonghai Yang),
    International Mathematical Research Notices, 44 (2005), pages 2695-2707.
  93. Identities for traces of singular moduli (with Kathrin Bringmann),
    Acta Arithmetica, 119 (2005), pages 317-327.
  94. Number theoretic properties of Wronskians of Andrews-Gordon series (with Antun Milas and Eric Mortenson),
    International Journal of Number Theory, 4 (2008), pages 323-337.
  95. Traces of singular moduli on Hilbert modular surfaces (with Kathrin Bringmann and Jeremy Rouse),
    International Mathematical Research Notices, 47 (2005), pages 2891-2912.
  96. Arithmetic properties of coefficients of half-integral weight Maass-Poincare series (with Kathrin Bringmann),
    Mathematische Annalen, 337 (2007), pages 591-612.
  97. An arithmetic formula for the partition function (with Kathrin Bringmann),
    Proceedings of the American Mathematical Society, 135 (2007), pages 3507-3514.
  98. The $f(q)$ mock theta function conjecture and partition ranks (with Kathrin Bringmann),
    Inventiones Mathematicae, 165 (2006), pages 243-266.
  99. Singular moduli generating functions for modular curves and surfaces, The Proceedings of the Gauss-Dirichlet Conference, Clay Mathematical Institute Proceedings, Clay Math. Proc. 7, Amer. Math. Soc. (2007), pages 185-206.
  100. Dyson's ranks and Maass forms, (with Kathrin Bringmann),
    Annals of Mathematics, accepted for publication.
  101. Ramanujan's congruences and Dyson's crank (with George Andrews),
    Proceedings of the National Academy of Sciences, USA, 102, No. 43 (2005), page 15277.
  102. Mock theta functions, ranks, and Maass forms, Proceedings of the special year in number theory and combinatorics (2004-2005) at the University of Florida, Springer, accepted for publication.
  103. Honoring a gift from Kumbakonam,
    Notices of the American Mathematical Society, 53, Number 6 (2006), pages 640-651.
  104. Divisibility criteria for class numbers of imaginary quadratic fields, (with Paul Jenkins),
    Acta Arithmetica, 125 (2006), pages 285-289.
  105. q-series and weight 3/2 Maass forms (with Kathrin Bringmann and Amanda Folsom), submitted.
  106. Lifting elliptic cusp forms to Maass forms with an application to partitions (with Kathrin Bringmann),
    Proceedings of the National Academy of Sciences, USA, 104, No. 10 (2007), pages 3725-3731.
  107. Duality involving the mock theta function f(q) (with Amanda Folsom),
    Journal of the London Mathematical Society, 77 (2008), pages 320-334.
  108. Eulerian series as modular forms (with Kathrin Bringmann and Rob Rhoades),
    Journal of the American Mathematical Society, 21 (2008), pages 1085-1104.
  109. Heegner divisors, L-functions, and Maass forms (with Jan H. Bruinier), submitted.
  110. Combinatorial harmonic weak Maass forms (with Kathrin Bringmann, Jan H. Bruinier, and Amanda Folsom), in preparation.
  111. The spt-function of Andrews (with Amanda Folsom),
    Proceedings of the National Academy of Sciences, USA, recommended for publication.
  112. A mock theta function for the Delta-function,
    Proceedings of the 2007 Integers Conference, accepted for publication.
  113. Differential operators for harmonic weak Maass forms and the vanishing of Hecke eigenvalues, (with Jan H. Bruinier and Robert Rhoades),
    (formerly Differential operators and harmonic weak Maass forms)
    Mathematische Annalen, accepted for publication.
  114. Unearthing the visions of a master: harmonic Maass forms and number theory
    Harvard-MIT Current Developments in Mathematics 2008, International Press, in preparation.
  115. Coefficients of harmonic weak Maass forms, (with Kathrin Bringmann), submitted.
  116. To be determined, (with Amanda Folsom), in preparation.
  117. Hook lengths and 3-cores, (with Guo-Niu Han), submitted.
  118. SO(3)-Donaldson invariants of CP^2 and mock theta functions, (with Andreas Malmendier), in preparation.
  119. Corrigendum: Duality involving the mock theta function f(q) (with Amanda Folsom)
    Journal of the London Mathematical Society, to appear
    Some numbers in Table 1.3 of #107 are corrected.