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Research

Number Theory

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

 

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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.
  • C.-Y. Hui, M. Larsen, Maximality of Galois actions for abelian and hyperkahler varieties, Duke Math. J., 169 (2020), p.1163-1207
  • 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
  • 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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