Research

I'm currently one of the postdocs in the Focused Research Group "Averages of L-functions and Arithmetic Stratification," which is supported by NSF DMS-1854398 FRG and directed by P.I. Brian Conrey

Preprints

Low-lying zeros of a large orthogonal family of automorphic L-functions (with Vorrapan Chandee and Xiannan Li), 41 pp. submitted 2023 [arxiv]
An unconditional Montgomery Theorem for pair correlation of zeros of the Riemann zeta function (with Daniel Goldston, Ade Irma Suriajaya, and Caroline Turnage-Butterbaugh), 13 pp. submitted 2023 [arxiv]
Sign changes of the error term in the Piltz divisor problem (with Cruz Castillo), 28 pp. submitted 2023 [arxiv]
Moments of zeta and correlations of divisor-sums: stratification and Vandermonde integrals (with Brian Conrey), 26 pp. submitted 2022 [arxiv]
Twisted 2kth moments of primitive Dirichlet L-functions: beyond the diagonal (with Caroline Turnage-Butterbaugh), 99 pp. submitted 2022 [arxiv]

Publications

(The final published versions may differ from the preprints)

Dirichlet L-functions of quadratic characters of prime conductor at the central point (with Kyle Pratt), Journal of the European Mathematical Society 24 (2022), 369-460 [preprint] [journal]
Small zeros of Dirichlet L-functions of quadratic characters of prime modulus (with Julio Andrade), Research in Number Theory 6 (2020), Art. 18, 20 pp. [preprint] [journal]
Explicit formulae and discrepancy estimates for a-points of the Riemann zeta-function (with Steve Gonek), Pacific Journal of Mathematics 303 (2019), 47-71 [preprint] [journal]
On the zeros of Riemann's zeta-function on the critical line, Journal of Number Theory 169 (2016), 183-226 [preprint] [journal]
On the pair correlation conjecture and the alternative hypothesis, Journal of Number Theory 165 (2016), 203-269 [preprint] [journal]

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