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

Publications and Preprints

1. Short second moment bound and Subconvexity for GL(3) L-functions (with W.H. Leung and R. Munshi), arxiv:2206.06517
   Preprint, 2022

2. 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.

3. Subconvexity Bound for GL(2) L-functions: t-aspect (with S. K. Singh), arxiv: 1706.04977
   Mathematika. 67 (2021), 71-99. 

4. 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. 

5. Weyl bound for GL(2) in t-aspect via a simple delta method, arxiv: 1810.10479
   J. Number Theory. 208 (2020), 72–100.

6. 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. 

7. 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. 

8. 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   Prepint (not for publication), 2017.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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