I am interested in analytic number theory. My research interests comprise automorphic forms, L-functions, quantum modular forms, and sieve methods. My Erdős number is 3.
Research papers:
On roots of quadratic congruences, accepted at Bulletin of the London Mathematical Society
A matrix variant of the Erdős-Falconer distance problems over finite field, Linear Algebra and its Applications, 694 (2024), 335--359
(with Si Duc Quang) On absolute and quantitative subspace theorems, Forum Mathematicum, to appear
(with D. Ha) Expanders on matrices over a finite chain ring, II, SIAM Journal on Discrete Mathematics 37 (2023), no. 3, 1587--1609
(with D. Ha) Expanders on matrices over a finite chain ring, I, International Journal of Mathematics 34 (2023), no. 7, 2350034
(with R. Khan and D. Milićević) Nonvanishing of Dirichlet L-functions, II, Mathematische Zeitschrift 300 (2022), no. 2, 1603--1613
On an almost-prime sieve, Acta Arithmetica 191 (2019), no. 4, 341--359
(with R. C. Rhoades) Integer partitions, probabilities and quantum modular forms, Research in the Mathematical Sciences 4:17 (2017)
(with R. Khan) Nonvanishing of Dirichlet L-functions, Algebra & Number Theory 10 (2016), no. 10, 2081--2091
(with R. Khan and D. Milićević) Non-vanishing of Dirichlet L-functions in Galois orbits, International Mathematics Research Notices 2016 (2016), no. 22, 6955--6978
Preprints:
(with Y. Li and R. C. Rhoades) Renormalization and quantum modular forms, part I: Maass wave forms
(with Y. Li and R. C. Rhoades) Renormalization and quantum modular forms, part II: Mock theta functions