Automorphic forms, Spectral theory, Analytic number theory
My research interests lie on problems related to L-functions of Maass forms, Quantum Unique Ergodicity and equidistribution problems. I am also interested on various counting problems in the spectral theory of automorphic forms, such as Prime Geodesic theorems and Lattice counting problems.
I finished my PhD in Pure Mathematics at UCL, UK under the supervision of Yiannis Petridis. In my thesis I worked on two different hyperbolic lattice counting problems. The classical hyperbolic lattice point problem is the hyperbolic analogue of the Gauss’ circle problem. I studied various modifications of it, as well as arithmetic applications of them.
You can find my thesis here.
6. Mean value and Ω-results for the hyperbolic lattice point problem in conjugacy classes. Rev. Mat. Iberoam. 35 (2019), no. 4, 1123–1152. (arXiv)
7. Ω-results for the hyperbolic lattice point problem. Proc. Amer. Math. Soc., vol. 145 (2017), no. 4, 1421–1437. (arXiv)
1. The error term in term in the Prime Geodesic Theorem for hyperbolic 3-manifolds, (short review article in the Proceedings of the 16th Panhellenic Conference on Mathematical Analysis)