Research Interests
Research Interests
Study of L-functions, Subconvexity bound problems for L-functions, Finite fields and related sums, Equidistribution problems in number theory, Automorphic forms, Representation theory of automorphic forms
Study of L-functions, Subconvexity bound problems for L-functions, Finite fields and related sums, Equidistribution problems in number theory, Automorphic forms, Representation theory of automorphic forms
Explicit bounds for the graphicality of the prime gap sequence (with R. Frot, H. Gou and H. Wang), arxiv:2512.24230
Preprint, 2025 (submitted)
Level aspect subconvexity for GL(2) x GL(2) L-functions (with S. Kumar, C-H. Kwan, W. H. Leung, J. Li and M. P. Young), arxiv:2412.12410
Preprint, 2024 (submitted)
Short second moment bound and Subconvexity for GL(3) L-functions (with W.H. Leung and R. Munshi), arxiv:2206.06517
J. Eur. Math. Soc., DOI 10.4171/JEMS/1667
A new subconvex bound for GL(3) L-functions in the t-aspect, arxiv: 1903.09638
Int. J. Number Theory 17 (2021), no. 5, 1111–1138.
Subconvexity Bound for GL(2) L-functions: t-aspect (with S. K. Singh), arxiv: 1706.04977
Mathematika. 67 (2021), 71-99.
A Bessel delta-method and exponential sums for GL(2) (with R. Holowinsky, Y. Lin and Z. Qi), arxiv: 1906.05485
Q. J. Math. 71 (2020), no. 3, 1143-1168.
Weyl bound for GL(2) in t-aspect via a simple delta method, arxiv: 1810.10479
J. Number Theory. 208 (2020), 72–100.
The Burgess bound via a trivial delta method (with R. Holowinsky, Y. Lin and Q. Sun), arxiv: 1803.00542
Ramanujan J. 53 (2020), no. 1, 49-74.
Hybrid Level Aspect Subconvexity for GL(2) x GL(1) Rankin-Selberg L-Functions (with Y. Jo and K. Nowland), arxiv: 1605.05625
Hardy-Ramanujan J. 41 (2018), 104-117.
Subconvexity Bound for Hecke character L-Functions of Imaginary quadratic Number fields, arxiv: 1712.00363.
Prepint (not for publication), 2017.
PhD Thesis: Subconvexity bounds and simplified delta methods (available here on Ohiolink ETD)
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