Research Fields
Mathematics, Geometry and Topology
Term and History
2019/04/01 - 2020/03/31 Special Postdoctoral Researcher
2020/05/01 - Visiting Scientist (Main: Assistant Professor, Graduate School of Mathematical Sciences, The University of Tokyo)


I have been working in the mathematical study of gauge theory. In particular, I have developed Seiberg-Witten theory and Yang-Mills theory for families of 4-dimensional manifolds, and used them to examine the topology and geometry of such families. One of typical objects studied using gauge theory for families is the space consisting of all symmetries of a given 4-dimensional manifold. The space of symmetries is a natural mathematical object, but at the same time, this space is an infinite-dimensional complicated space in general, and consequently quite hard to attack. Interestingly, some of my recent work with several groups revealed that we can extract information about the space of symmetries of some 4-dimensional manifolds using gauge theory for families. I am trying to go ahead with this direction, and also to develop other aspects of gauge theory, relating to a sort of topological quantum field theory.

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Seiberg-Witten Floer homotopy

July 15 (Fri) at 14:00 - 16:30, 2022 Seminar iTHEMS Math Seminar

Gauge Theory and Symmetries of 4-Dimensional Spaces

April 26 (Fri) at 16:00 - 18:10, 2019 Seminar iTHEMS Math Seminar

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