Visiting Scientist, RIKEN Interdisciplinary Theoretical and Mathematical Sciences Program (iTHEMS)

Main: Research Scientist, Institute for Fundamental Mathematics, Media Information Laboratory, NTT Communication Science Laboratories

Dr. Hiroyasu Miyazaki

Ph.D.

Research Fields
Arithmetic and Algebraic Geometry
Term and History
2018-01-15 - 2019-01-14 Visiting Scientist (Main: FSMP post doctral position, Institut de Mathématiques de Jussieu-Paris Rive Gauche (IMJ-PRG), France)
2019-01-15 - 2020-09-30 Special Postdoctoral Researcher
2020-10-01 - 2022-02-28 Senior Research Scientist
2022-03-01 - Visiting Scientist (Main: Research Scientist, Institute for Fundamental Mathematics, Media Information Laboratory, NTT Communication Science Laboratories)
Related Website
Dr. Hiroyasu Miyazaki's personal website

Self-introduction

Hello, everyone! My name is Hiroyasu Miyazaki. I am a mathematician. I mainly study algebraic varieties, which are geometric objects formed by the solutions of algebraic equations. To capture some essential information on algebraic varieties, it is useful to consider their group-theoretic incarnations, called (co)homology groups. Among the many versions of cohomologies, there is a universal one: the motive theory. It has been used to study common properties of cohomologies and their relationship. However, it has been observed that the motive theory loses some important arithmetic information of algebraic varieties. I am trying to overcome this problem by generalizing the motive theory.
I was a member of iTHES in 2017. After that, I stayed at IMJ-PRG in Paris for one year, and came back to iTHEMS. I am really glad to join you again, and looking forward to many exciting discussions!

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