Special Postdoctoral Researcher, RIKEN Interdisciplinary Theoretical and Mathematical Sciences Program (iTHEMS)

Kan Kitamura

Ph.D. in Mathematical Sciences

Research Fields: Operator Algebras, Quantum Symmetries
Term and History: 2024/04/01 - Special Postdoctoral Researcher
Related Website: Kan Kitamura's personal website

Self-introduction

I am Kan Kitamura, a special postdoctoral researcher at iTHEMS since April 2024.
I am working on noncommutative geometry, a branch of mathematics. I am interested in quantum symmetries, K-theory, and related topics of operator algebras. Roughly, operator algebras can be regarded mathematically as a noncommutative generalization of spaces and physically as algebras consisting of observables. Such noncommutative spaces often admit "quantum" symmetries, kinds of symmetries beyond mere groups. I usually try to understand this phenomenon with C*-algebras and K-theory.
Although my study is purely mathematical in principle, I am also very curious about the interactions of these concepts with other areas such as mathematical physics. I am looking forward to discussing various topics with researchers at RIKEN.

Related Events

Introduction to operator algebras

May 17 (Fri) at 15:00 - 17:00, 2024 Seminar iTHEMS Math Seminar

Around homogeneous spaces of complex semisimple quantum groups

June 7 (Wed) at 14:00 - 16:30, 2023 Seminar iTHEMS Math Seminar