My area of research can be broadly categorized into two branches of mathematics: Number theory and Hyperbolic-type geometry. On the one hand, talking about number theory, I am mainly interested in the theory of modular forms (as well as Automorphic forms), congruence subgroups, their fundamental regions, etc., and their applications in analytic number theory.  Also, I am interested in studying various L-functions and their properties.

 On the other hand, hyperbolic-type geometries deal with various domains, metrics, and conformal or quasi-conformal maps between domains. Specifically, I am working on the characterization of certain domains (John disks, c-joinable domains, uniform domains, \varphi-uniformm domains, etc.) in terms of metric (such as hyperbolic metric, quasi-hyperbolic metric, starlike metric, j metric, etc.) inequalities.