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
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
Preprint, 2022 (submitted)
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Prepint (not for publication), 2017.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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