Research

Members

• Prof. Y.K. Lau
  Analytic number theory, automorphic forms, L-functions
• Dr. C.Y. Hui
  Algebraic number theory, arithmetic geometry and algebra
• Dr. B. Kane
  Number theory, combinatorics
• Dr. X. Zhang
  Analytic Number Theory, Homogeneous Dynamical Systems, Linear Algebraic Groups

Activities

Selected Publications

• Lau Y.-K., Ng M.H., Wang Y., Average bound toward the generalized Ramanujan conjecture and its applications on Sato-Tate laws for GL(n), International Mathematics Research Notices, 2022 (2022), p.5720-5744.
• Jiang Y.-J., Lau Y.-K., Lü G.-S., Royer E., Wu J., On Fourier coefficients of modular forms of half integral weight at squarefree integers, Math. Z., 293 (2020), p.789-808.
• Lau Y.-K. and Wang Y., Absolute values of L-functions for GL(n,R) at the point 1, Adv. Math., 335 (2018), p.759-808
• Lau Y.-K., Liu J., Wu J., Local Behavior of Arithmetical Functions with Applications to Automorphic L-Functions, International Mathematics Research Notices, 2017 (2017), p.4815-4839
• C.-Y. Hui, M. Larsen, Maximality of Galois actions for abelian and hyperkahler varieties, Duke Math. J., 169 (2020), p.1163-1207
• A. Cadoret, C.-Y. Hui, A. Tamagawa, Geometric monodromy - semisimplicity and maximality, Annals of Math., 186 (2017), p.205-236
• C.-Y. Hui, l-independence for compatible systems of (mod l) representations, Compos. Math., 151 (2015), p.1215-1241
• King Cheong Fung and Ben Kane, On sign changes of cusp forms and the halting of an algorithm to construct a supersingular elliptic curve with a given endomorphism ring, Mathematics of Computation, 87 (2018), p.501-514
• Kathrin Bringmann, Ben Kane, Steffen Loebrich, Ken Ono and Larry Rolen, On Divisors of Modular Forms, Advances in Mathematics, 329 (2018), p.541-554
• Kathrin Bringmann, Ben Kane, Daniel Parry, and Robert Rhoades, On the Andrews-Zagier asymptotics for partitions without sequences, Advances in Mathematics, 309 (2017), p.436-451
• Kathrin Bringmann and Ben Kane, A problem of Petersson about weight 0 meromorphic modular forms, Research in the Mathematical Sciences, 3 (2016), p.1-31
• X. Zhang, On Representation of Integers from Thin Subgroups of SL(2, ℤ) with Parabolics, International Mathematics Research Notices, September (2020), p.5611-5629

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