About me

I am a PhD student in Pure Mathematics at UCL, UK and I am working under the supervision of Dr Yiannis Petridis. My primary area of research is spectral theory of automorphic forms.

Research

I am currently working on hyperbolic lattice counting problems. The classical hyperbolic lattice point problem is the hyperbolic analogous of the Gauss’ circle problem. I study various modifications of it, as well as arithmetic applications of them.

1. The hyperbolic lattice point problem in conjugacy classes. (joint work with Yiannis Petridis) (to appear in Forum Mathematicum, arXiv)

2. Ω-results for the hyperbolic lattice point problem. (to appear in Proceedings of the AMS, arxiv)

3. Mean value and Ω-results for the hyperbolic lattice point problem in conjugacy classes. (in preparation)