Research

• A six-functor formalism for sheaves over locally proper maps and the Bauer–Furuta Construction, PhD Thesis, 2026. PDF Older version available at arXiv:2412.16759.

• Even-periodic Cohomology Theories for Twisted Parametrized Spectra, Graduate School of Mathematical Sciences, the University of Tokyo, Master’s Thesis, 2023.

Past Talks

• A six-functor construction of the Bauer-Furuta invariant, LA Topology seminar, University of South California, March 2026.
• A six-functor construction of the Bauer-Furuta invariant, Tuesday Seminar on Topology, University of Tokyo, Jan 2026.
• Seiberg-Witten stable homotopy invariants via $(\infty,2)$-functorial six-operations, 福岡ホモトピー論セミナー, Fukuoka University, Dec 2025.
• Sheaves in Topological FIeld Theory, Mini-workshop on homotopy theory in geometry, University of Tokyo, Sep 2025.
• A six-functor formalism and the Bauer-Furuta invariant, 信州トポロジーセミナー, Shinshu University, July 2025.
• A six-functor approach to the Bauer-Furuta invariant, 千葉大学幾何学セミナー, Chiba University, March 2025.
• Beilinson’s t-structure on filtered spectra, 信州トポロジーの学校, Shinshu University, March 2025.
• Six-functor formalism for locally proper maps and the Bauer-Furuta invariant, Research seminar on Quantum Topology and Categorification, University of Hamburg, Feb 2025.
• Equivariant sheaves and the Bauer-Furuta invarinat, 微分トポロジーセミナー, Kyoto University, Dec 2024.
• Complex-orientable ring spectra and formal groups, Yatsugatake workshop, Sep 2024.
• Nonabelian Poincaré duality, Factorization algebras and related topics, Aug 2024.
• Six perspective(s) on the J-homomorphism, 幾何学セミナー・トポロジーセミナー, Kyushu University, Aug 2024.
• A possible application to a conjectural Floer homotopy theory over MUP, Higher Algebra in Geometry – Talk Sessions, RIKEN iTHEMS, Aug 2023.