Publications

A survey of moment bounds for \zeta(s): from Heath-Brown's work to the present, arxiv, (expository) to appear in Journal of The London Math Society, Centenary Special Issue
(with H. Bui, H. Ngo) Simultaneous nonvanishing of Dirichlet L-functions in Galois orbits, arxiv, submitted
(with C. David, M. Lalin) Nonvanishing of L-functions associated to fixed order characters over function fields, arxiv, submitted
(with M. Lalin, A. Malik, A. Sahay) The shifted convolution problem in function fields, arxiv, submitted
(with H. Bui, M. Milinovich) Negative discrete moments of the derivative of the Riemann zeta-function, arxiv, Bull. London Math Soc. 56, 2024, no.8, 2680-2703
(with E. Jones, M. Lalin) Moments of Artin-Schreier L-functions, arxiv, The Quarterly Journal of Math, Volume 75, Issue 4, 2024, 1255-1284
(with H. Bui) Negative moments of the Riemann zeta-function, arxiv, Crelle's Journal 806 (2024), 247-288
(with A. Bucur, A. Serrano Lopez, I. Varma) Power saving error terms for the number of D_4 quartic extensions over a number field ordered by discriminant, arxiv, Assoc. Women in Math Series 33, Springer, 2024, 197-218
Negative moments of L-functions with small shifts over function fields, arxiv , IMRN 2024, no. 3, 2298-2337.
(with. H. Bui, J. Keating) The Ratios Conjecture and upper bounds for negative moments of L-functions over function fields, arxiv, Transactions of the AMS 376 (2023), no. 6, 4453-4510.
(With Chantal David, Matilde Lalin) Mean values of cubic L-functions over function fields, arxiv, Algebra & Number Theory 16 (2022), no. 5, 1259–1326.
(with C. David, M. Lalin) Non-vanishing for cubic L-functions, arxiv, to appear in Forum of Math, Sigma 9 (2021), paper no. e69
(with E. Carneiro, M. Das, A. Kumchev, A. Malik, M. Milinovich, C. Turnage-Butterbaugh, J. Wang) Hilbert transforms and the equidistribution of zeros of polynomials, arxiv, Journal of Functional Analysis 281 (2021), no. 9, Paper No. 109199
(with H. Bui, J. Keating) Type-I contributions to the one and two level densities of quadratic Dirichlet L-functions over function fields, arxiv, Journal of Number Theory 221 (2021), 389-423
(with K. Soundararajan) The large sieve over function fields, preprint
(with Hung Bui) Moments of Dirichlet L-functions with prime conductors over function fields, arxiv, Finite Fields Appl. 64 (2020)
(with Hung Bui, Jonathan Keating, Edva Roditty-Gershon) Moments of quadratic twists of elliptic curve L-functions over function fields, arxiv, Algebra & Number Theory 14 (2020), no. 7, 1853-1893
(With Hung Bui) Hybrid Euler-Hadamard product for quadratic Dirichlet L-functions in function fields, Proc. London Math. Soc. 2018, no. 1, 65-99
The fourth moment of L(1/2, \chi) in the hyperelliptic ensemble, GAFA, 27 (2017), no. 3, 541-595.
(With Hung Bui) Zeros of quadratic Dirichlet L-functions in the hyperelliptic ensemble, Transactions of the AMS 2018, no. 11, 8013-8045.
The second and third moment of L(1/2, \chi) in the hyperelliptic ensemble, Forum Math, 29 (2017), no. 4, 873-892.
Improving the error term in the mean value of L(1/2, \chi) in the hyperelliptic ensemble, Int. Math. Res. Notices 2017, no. 20, 6119-6148.
(With Eva Belmont, Holden Lee, Sarah Trebat-Leder) l-adic properties of partition functions, Monatsh. Math. 173 (2014), no. 1, 1--34 (Emory REU, 2011).

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