I am a researcher at the Hanoi Institute of Mathematics, Vietnam. I am interested in analytic number theory. My research interests comprise automorphic forms, L-functions, and sieve methods. My Erdős number is 3.
Research papers:
(with Si Duc Quang) On Absolute and Quantitative Subspace Theorems, Forum Mathematicum 37 (2025), no. 3, 821-849 [journal]
On roots of quadratic congruences, Bulletin of the London Mathematical Society 56 (2024), no. 9, 2886-2910 [journal]
A matrix variant of the Erdős-Falconer distance problems over finite field, Linear Algebra and its Applications 694 (2024), 335-359 [journal]
(with D. Ha) Expanders on matrices over a finite chain ring, II, SIAM Journal on Discrete Mathematics 37 (2023), no. 3, 1587-1609 [journal]
(with D. Ha) Expanders on matrices over a finite chain ring, I, International Journal of Mathematics 34 (2023), no. 7, 2350034 [journal]
(with R. Khan and D. Milićević) Nonvanishing of Dirichlet L-functions, II, Mathematische Zeitschrift 300 (2022), no. 2, 1603-1613 [journal]
On an almost-prime sieve, Acta Arithmetica 191 (2019), no. 4, 341-359 [journal]
(with R. C. Rhoades) Integer partitions, probabilities and quantum modular forms, Research in the Mathematical Sciences 4:17 (2017) [journal]
(with R. Khan) Nonvanishing of Dirichlet L-functions, Algebra & Number Theory 10 (2016), no. 10, 2081-2091 [journal]
(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 [journal]
(with J. Jansson and W.-K. Sung) Local Gapped Subforest Alignment and Its Application in Finding RNA Structural Motifs, J. Comput. Biol. 13 (2006), no. 3, 702-718 [journal]
(with J. Jansson and W.-K. Sung) Local Gapped Subforest Alignment and Its Application in Finding RNA Structural Motifs, LNCS 3341 (2004), 569-580 [LNCS]
Preprints:
(with Y. Li and R. C. Rhoades) Renormalization and quantum modular forms, part I: Maass wave forms [arxiv]
(with Y. Li and R. C. Rhoades) Renormalization and quantum modular forms, part II: Mock theta functions [arxiv]