Members (AY 2026)
#- KY: Algebraic topology and applications of Morse theory
- KY: Teichmüller space and the Thurston spine
- SY: Pseudo-Riemannian geometry and relativity
- CT: Morse homology
- SK, SO: Persistence theory
- SF
- HI: “手を動かしてまなぶ 集合と位相” by A. Fujioka (in Japanese)
Theses
#- Kohei Yamada, “Eutaxy of generalized systoles” (in Japanese), Master’s thesis, AY 2024
- Kanta Koeda, “Decompositions of Morse bipersistence modules into rectangles” (in Japanese), Master’s thesis, AY 2023
- Kanon Yashiro, “Computing Morse-Bott homology with singular simplicial chains”, Master’s thesis, AY 2023
- Yuki Yamamoto, “Existence of pseudoheavy fibers of proper moment maps” (in Japanese), Master’s thesis, AY 2023
Textbooks used in past senior seminars
#- Y. Matsumoto, “多様体の基礎” (in Japanese), University of Tokyo Press
- M. Masuda, “代数的トポロジー” (in Japanese), Asakura Shoten
- Allen Hatcher, “Algebraic Topology”, Cambridge University Press
- Loring W. Tu, “An Introduction to Manifolds”, Springer
- Y. Matsumoto, “Morse理論の基礎” (in Japanese), Iwanami Shoten
- A. Kawauchi, “結び目の理論” (in Japanese), Kyoritsu Shuppan
- Vladimir I. Arnold, “Mathematical Methods of Classical Mechanics”, Springer
- Joseph J. Rotman, “An Introduction to Algebraic Topology”, Springer
- John W. Milnor, “Morse Theory”, Princeton University Press
- Y. Ike, E. G. Escolar, I. Obayashi, and S. Kaji, “位相的データ解析から構造発見へ” (in Japanese), Saiensu-sha
- A. Fujioka, “手を動かしてまなぶ 集合と位相” (in Japanese), Shokabo