I am interested in the applications of multiple Dirichlet series in analytic number theory and in the interaction between the classical and multiple Dirichlet series approach to problems such as moments of L-functions.
Publications:
(with L. Devin, D. Fiorilli, K. Matomäki, A. Södergren) Low-lying zeros in families of Maass form L-functions: an extended density theorem (2025), preprint. Arxiv.
(with K. Matomäki) On optimality of mollifiers (2025), submitted. Arxiv.
(with S. Baluyot) Multiple Dirichlet series predictions for moments of $L$-functions: unitary, symplectic and orthogonal examples (2025), submitted. Arxiv.
Moments of real Dirichlet $L$-functions and multiple Dirichlet series (2024), submitted. Arxiv.
(with K. Matomäki) A note on exceptional characters and non-vanishing of Dirichlet L-functions (2024), Math. Ann. 389, 987--996. Journal. Arxiv.
Ratios conjecture and multiple Dirichlet series (2024), Trans. Amer. Math. Soc. 377, 3487--3528. Journal. Arxiv.
Mean value of real characters using a double Dirichlet series (2023), Canadian Math. Bull. 66(4) : 1135-1151. Journal. Arxiv.
(with D. Lachman, J. Svoboda, M. Tinková, K. Zemková), Universal quadratic forms and indecomposables over biquadratic fields (2019), Math. Nachr. 292 (3), 540--555. Journal. Arxiv.
(doctoral thesis, 2022) Applications of multiple Dirichlet series in analytic number theory. Link.
Here is my Master's thesis about the pretentious approach to analytic number theory.
Here is my Bachelor's thesis about algebraic proofs of Dirichlet's Theorem on primes in arithmetic progressions.