KMI-Math School
〜 Bridges Between Physics and Mathematics 〜
March 16 - March 19, 2027
@ 509 Graduate School of Mathematics, Nagoya University
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About:
The aim of KMI-Math School is to introduce fascinating interactions between mathematics and physics, and to invite students and non-experts to such exciting fields. Both mathematicians and physicists are more than welcome to participate in, and the speakers will co-ordinate their lectures to clearly address the main idea. Our ultimate goal is to break the boundaries between mathematics and physics, and trigger new collaborations across the two.
This year, our focus is on categorical aspects of quantum field theory. While QFT is undeniably central to modern physics, category theory offers a beautiful and powerful language to describe its symmetries and dualities. When these two encounter each other in topological quantum field theory, they create a fascinating playground of rich structures that help us understand some truly appealing phenomena. If you are interested in some of the keywords below, KMI-Math school 2027 would be a great opportunity for you:
Keywords:
Higher linear algebras, higher categorical symmetry, tensor networks
Segal-Stolz-Teichner paradigm, elliptic cohomology
Speakers:
is a Senior Research Scientist at RIKEN iTHEMS. He received his PhD from the University of Tokyo in 2016, and was subsequently a Member at the Institute for Advanced Study (2016–2019), a Research Assistant Professor at the Simons Center for Geometry and Physics, Stony Brook University (2019–2021), and an Assistant Professor at the University of Tokyo (2021–2025). His research concerns the mathematical structure of quantum field theories, especially symmetries and their quantum anomalies; recent work focuses on categorical (generalized) symmetry and related aspects.
is a research faculty member in the Perimeter Institute for Theoretical Physics. She served as an associate professor at Research Institute for Mathematical Sciences in Kyoto University (2019-2023) and in 2022 she got Ph.D degree by dissertation from University of Tokyo. She then served as an associate professor at Kyoto University (2023-2025). She has been working on homotopy theory and differential geometry, with an eye toward its relation with physics. Current main interests is on the Segal-Stolz-Teichner paradigm, connecting supersymmetric quantum field theories and the theory of elliptic cohomology. Her contribution includes application of the theory of topological modular forms into problems in quantum field theories such as anomaly vanishing in superstring theories, as well as homotopy-theoretic or differential-geometric application of the ideas from QFTs.
Registration:
To be announced
*Unfortunately, no financial support is available for participants.
Lecture Materials:
To be announced
Schedule:
All lectures will be at 509 Graduate School of Mathematics, Nagoya University (Google Maps).
To be announced
Acknowledgements:
This event is supported in part by the Kobayashi-Maskawa Institute for the Origin of Particles and the Universe (KMI/Flap Proposals by Young Researchers), and also in part by JSPS KAKENHI Grant-in-Aid for Early-Career Scientists (26K16980)
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