I am doing research relating to public key cryptography that is resistant to quantum computers. In particular, I am interested in multivariate public key cryptography (MPKC), which is constructed based on the difficulty in solving a system of multivariate quadratic equations. MPKC is considered to be a candidate of public key cryptography that is resistant to quantum computers. However, there are some problems that its public key size is relatively large and its security analysis on Gröbner basis is not thorough. These are my current task.

Moreover, I am interested in number theory, in particular, automorphic representation.