Research

Research interests: Arithmetic statistics, equidistribution, automorphic L-functions, arithmetic quantum chaos, p-adic L-functions

Preprints

-Non-vanishing of geodesic periods of automorphic forms (submitted, joint with Petru Constantinescu) arxiv

-Horizontal p-adic L-functions (submitted, joint with Daniel Kriz) arxiv

-Equidistribution of q-orbits of closed geodesics (submitted) arxiv 

-Sparse equidistribution of geometric invariants of real quadratic fields (submitted, joint with Peter Humphries) arxiv

-Central values of additive twists of Maass forms L-functions (submitted, joint with Sary Drappeau) arxiv

Publications

-Concentration of closed geodesics in the homology of modular curves (Forum of Mathematics, Sigma, 2023) arxiv, published version

-Wide moments of L-functions I: Twists by class group characters of imaginary quadratic fields (Algebra & Number Theory, 2024) arxiv, published version

-Wide moments of L-functions II: Dirichlet L-functions (Quaterly Journal of Mathematics, 2022) arxiv, published version

-Small scale equidistribution of Hecke eigenforms at infinity (Journal of the London Mathematical Society, 2022, joint with Morten Risager and Yiannis Petridis) arxiv, published version  

-Residual distribution of modular symbols and cohomology classes for quotients of hyperbolic n-space (Transactions of the American Mathematical Society, 2022, joint with Petru Constantinescu) arxiv, published version

-Bounds on shifted convolution sums for Hecke eigenforms (Research in Number Theory, 2022, joint with Morten Risager and Yiannis Petridis) arxiv, published version 

-Central values of additive twists of modular L-functions (Journal für Reine und Angewandte Mathematik (Crelle's Journal), 2021) arxiv, published version 

-A note on additive twists, reciprocity laws and quantum modular forms (The Ramanujan Journal, 2020) arxiv, published version  

-Hybrid subconvexity for class group L-functions and uniform sup norm bounds of Eisenstein series (Forum Mathematicum, 2020) arxiv, published version  

-On the distribution of periods of holomorphic cusp forms and zeroes of period polynomials (International Mathematics Research Notices, 2020) arxiv, published version  

In preparation

-Equidistribution of partial coverings defined from closed geodesics  (joint with Ser Peow Tan) 

-Horizontal p-adic L-functions for Heegner points (joint with Daniel Kriz) 

Thesis

I handed in my thesis on the 30th of August 2020, which was defended on the 18th of December 2020.