Publications
(with H. Bui, M. Milinovich) Negative discrete moments of the derivative of the Riemann zeta-function, arxiv, to appear in Bulletin London Math Soc.
(with E. Jones, M. Lalin) Moments of Artin-Schreier L-functions, arxiv, submitted
(with H. Bui) Negative moments of the Riemann zeta-function, arxiv, to appear in Crelle's Journal
(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, submitted
Negative moments of L-functions with small shifts over function fields, arxiv , to appear in IMRN
(with. H. Bui, J. Keating) The Ratios Conjecture and upper bounds for negative moments of L-functions over function fields, arxiv, to appear in Transactions of the AMS
(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).
Oberwolfach report, No 50/2022
Oberwolfach report, No 50/2019
Oberwolfach Report, Nr. 53/2016