Takahiro Saito's homepage　齋藤隆大のホームページ

E-mail: takahiro [at-sign] math.chuo-u.ac.jp
Research Interests: D-module theory, mixed Hodge module theory, irregular Hodge theory, singularity theory, Milnor fibrations/monodromies, etc.

News

• 4月から9月まで育休を取らせてもらえる事になりました。うまくできるか少し不安ですが、どうにかやろうと思います。
  I'll be on paternity leave from April to September. I'm a little anxious, but I'll do my best. (Mar. 2025)
• トップページの写真を変更しました。妻が撮影してくれた写真で、曰く「聞いてもないのに色々説明してきそうで嫌な人そうに撮れた」との事で、とても気に入っています。
  I updated the photo on the top. My wife took this. According to her, I look like ``a person who might explain things to me even though I didn't ask". I like it very much. (Mar. 2024)
• 中央大の理工学部数学科に着任しました。一生懸命頑張ります。
  I became a member of the department of Mathematics at Chuo University as an assistant professor. I'm very exited! (Apr. 2023)

Papers

1. Hodge microsheaves on cotangent bundles and plumbings, joint work with Tatsuki Kuwagaki, [arXiv:2502.04148]
2. The Hodge filtrations of monodromic mixed Hodge modules and the irregular Hodge filtrations, Ann. Inst. Fourier (Grenoble), 74(4) (2024) :1603–1670.
3. A description of monodromic mixed Hodge modules, J. Reine Angew. Math. 786 (2022), 107–153.
4. The bifurcation set of a rational function via Newton polytopes joint work with Tat Thang Nguyen and Kiyoshi Takeuchi. Math. Z. 298 (2021), no. 1-2, 899–916.
5. Milnor monodromies and mixed Hodge structures for non-isolated hypersurface singularities. Adv. Math. 342 (2019), 134–164.
6. On the monodromies and the limit mixed Hodge structures of families of algebraic varieties. joint work with Kiyoshi Takeuchi, Michigan Math. J.73(2023), no.3, 631–668.
7. On the mixed Hodge structures of the intersection cohomology stalks of complex hypersurfaces. Publ. Res. Inst. Math. Sci., 56(1) (2020), 55-82.

Talks

1. モノドロミックな混合ホッジ加群とplumbing上のホッジ超局所層,パンルヴェ方程式の幾何学とその周辺, Tokyo University of Science, Tokyo, Japan, Mar. 2025
2. Monodromic mixed Hodge modules and Hodge microsheaves on plumbings, Silver workshop: Complex geometry and related topics VII (Series final), The University of Tokyo, Tokyo, Japan, Mar. 2025
3. D-modules and the Riemann-Hilbert correspondence as a foundation for mixed Hodge modules, iTHEMS Mathematics seminar, Institute of Physical and Chemical Research, Saitama, Tokyo, Japan, Jan. 2025
4. モノドロミックな混合ホッジ加群とそのホッジ超局所層への応用, 東京電機大学 数学講演会, Tokyo Denki University, Tokyo, Japan, Dec. 2024
5. On the Hodge filtration of the Fourier-Laplace transform of a monodromic D-module (contributed talk), the International Conference on Generalized Functions GF2024, Turin, Italy, Sep. 2024
6. Mixed Hodge modules of normal crossing type on smooth toric varieties, Conference on Singularity and Birational Geometry, Yonsei University, Seoul, Korea, Jan. 2024
7. A description of monodromic mixed Hodge modules, Séminaire de Géométrie, CMLS, École polytechnique, Palaiseau, France, Oct. 2023
8. Monodromic mixed Hodge modules for mirror symmetry, Topology of Singularities and Related Topics, Quy Nhon University, Quy Nhon, Vietnam, Sep. 2023
9. A description of monodromic mixed Hodge modules, Osaka University geometry seminar, Osaka university, Osaka, Japan, Dec. 2022
10. A description of monodromic mixed Hodge modules, Workshop on Mirror symmetry and Related Topics, Research Institute for Mathematical Sciences, Kyoto, Japan, Dec. 2022
11. A description of monodromic mixed Hodge modules, Singularities, arrangements, and low-dimensional topology, II, Keio university, Kanagawa, Japan, Nov. 2022
12. A description of monodromic mixed Hodge modules, Silver workshop V:Complex Geometry and related topics, Okinawa Institute of Science and Technology, Okinawa, Japan, Aug. 2022
13. Monodromic mixed Hodge modules and irregular Hodge filtrations, Tohoku university geometry seminar (online), Tohoku university, Miyagi, Japan, Jun. 2022
14. A description of monodromic mixed Hodge modules, Geometry and Topology Seminar (online), Vietnam Academy of Science and Technology, Vietnam, Sep. 2021
15. Milnor monodromies and mixed Hodge structures for non-isolated hypersurface singularities, The 2nd higher-dimensional algebraic geometry in Osaka, Osaka University, Japan, May. 2019.
16. Computation of Milnor monodromies with mixed Hodge modules, Paris Diderot University, France, Oct. 2018
17. Milnor monodromies and mixed Hodge structures for non-isolated hypersurface singularities, The 4-th Franco-Japanese-Vietnamese Singularities, the Khanh Hoa University, Vietnam, Sep. 2018
18. Milnor monodromies and mixed Hodge structures for non-isolated hypersurface singularities, Win- ter School and Workshop "Riemann-Hilbert correspondences", Riemann-Hilbert correspondences, University of Padova, Italy, Feb. 2018.
19. Milnor monodromies and mixed Hodge structures for non-isolated hypersurface singularities, Work shop on Hodge theory and algebraic geometry, Tokyo Denki University, Aug. 2017
20. On the monodromies and the limit mixed Hodge structures of families of algebraic varieties,The 12th Kagoshima Algebra-Analysis-Geometry Seminar,Kagoshima University , Feb. 2017
21. Limit mixed Hodge structures of families of algebraic varieties and their applications,D-modules and Hodge theory ,Kavli IPMU ,Jan 2017
22. On the mixed Hodge structures of the intersection cohomology stalks of complex hypersurfaces, The 4-th Franco-Japanese-Vietnamese Singularities, Chambery, Nov. 2016
23. On the monodromies and the limit mixed Hodge structures of families of algebraic varieties,Algebraic Geometry Symposium in Kinosaki,Kinosaki international art center, Oct. 2016
24. On the monodromies and the limit mixed Hodge structures of families of algebraic varieties, Researchon Global Properties of Singularities, Hyogo University of teacher eduation, Jun. 2016
25. On the mixed Hodge structures of IC stalks (short talk)，D-modules and singularities， University of Padova, Sep. 2015