Analyzing the cores of infinite-dimensional spaces

Modern geometry primarily studies various spaces. Homology theory is a fundamental tool to understand their global shapes. This theory, conceived over 100 years ago from purely mathematical interest, is now used in fields like data science. My research centers around Floer homology, invented by the mathematician Andreas Floer in the 1980s. Put metaphorically, it analyzes the “cores” of certain infinite-dimensional spaces. While I study Floer homology from mathematical interests, it may eventually have an impact on the real world.

URL

https://www.kurims.kyoto-u.ac.jp/en/list/irie.html