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Research Interests: Number Theory

Research Topic: Special values of automorphic L-functions and periods

Previous Affiliation: Faculty of Mathematics, Kyushu University, Assistant Professor

One of the most important themes in modern mathematics is the study of functions, called L-functions or zeta functions. The Riemann zeta function, for instance, is the most famous L-function. It is known that the knowledge of zeros of the Riemann zeta function is crucial to unravel a rather mysterious problem: how are prime numbers distributed? Besides prime numbers, we can define L-functions for various mathematical objects, enabling us to deduce their deep properties from analysis of the L-functions. Since Shunsuke was fascinated by L-functions while writing his thesis, he has been investigating L-functions mainly by analytic methods, but the study of L-functions involves a wide range of fields. In his Hakubi project, he will try to find a new aspect of the theory by studying L-functions also from both algebraic and geometric viewpoints.