My research field is algebraic geometry, with a primary focus on quotient singularities and their resolutions. I have obtained several results on the properties of the resolution of cyclic quotient singularities derived from continued fractions.

Additionally, I am interested in the properties of quotient singularities associated with Markov numbers. Markov numbers are the positive integer solutions of the Markov equation. These numbers are a fascinating research subject with connections to number theory and cluster algebras. Recently, I have been studying quotient singularities determined by generalized Markov equations.