Papers & Speeches

Publications

[with Manato Yaguchi, Kotaro Sakamoto, Ryosuke Sakamoto, Masatomo Akagawa, Yusuke Hayashi, Masahiro Suzuki, Yutaka Matsuo] The Geometry of Phase Transitions in Diffusion Models: Tubular Neighbourhoods and Sigularities, to appear in Transactions on Machine Learning Research (TMLR) [Certification: Featured].　paper
Regular homotopy classes of links of simple singularities and immersions associated with their Dynkin diagram, Jour. Lond. Math. Soc. 111(4) (2025), e70140.　paper
[with Karim Bekka, Satoshi Koike, Toru Ohmoto, Masahiro Shiota] Unstability problem of real analytic maps, Bull. Lond. Math. Soc. 56 (10) (2024), 3174--3180.　paper / arXiv
[with Kotaro Sakamoto, Ryosuke Sakamoto, Masatomo Akagawa, Yusuke Hayashi, Manato Yaguchi, Masahiro Suzuki, Yutaka Matsuo] The Geometry of Diffusion Models: Tubular Neighbourhoods and Sigularities, Proceedings of the Geometry-grounded Representation Learning and Generative Modeling Workshop (GRaM), PMLR 251 (2024), 332--363.　paper
Canonical stratification of definable Lie groupoids, J. Singul. 26 (2023), 63--75.　paper

Preprints

Coming soon!

Speeches

[forthcoming] ☆Immersions associated with links of complex surface singularities and their topology, Homotopy Theory Symposium, Shinshu Univ., 25th/10/2025.
[forthcoming] ☆Immersions associated with links of complex surface singularities and their topology, East Asian Symplectic Conference 2025, Hokkaido Univ., 29th/09/2025.
☆Relative version of the Herbert multple-point formula, Singularity theory and its application, Muroran, 18th/08/2025.
☆Immersions associated with links of complex surface singularities and their topology, Topology Symposium, Yamanashi Univ., 04th/08/2025.
☆Immersions associated with links of complex surface singularities and their topology I, II, Complex Singularities Workshop, Iwate Univ., 18th--19th/07/2025.
Immersions associated with links of complex surface singularities and their topology, 8th International Workshop on Singularities in Geometry and Applications - València VIII, ICMC-USP, 29th/06/2025.

and more, coming soon!

☆: Invited speech

past (06/2022--03/2025)

A reltive version of Herbert--Ronga's multi-point formula, The 48th Izu Topology Seminar, Hotel Ito Garden, 24th/03/2024.
☆Immersions associated with simple singularities and their regular homotopy classes, Contact structures, Singularities, Differential equations, and around, Kanazawa-ekimae-satelite, 22nd/01/2025.　slide
☆Immersions associated with simple singularities and their topology, Muroran Singularity Theory Meeting 2025, Muroran Institute of Technology, 17th/01/2025.
☆Immersions of surface singularity links and their topology, Workshop on geometry of foliations and its applications, Kyoto Univ. of Education, 20th/12/2024.
☆Unstability problem of real analytic maps, The 9th Japanese Australian workshop on Real and Complex Singularities, Saitama Univ., 06th/11/2024.
☆Topology, Singularity Theory, and their application to Data Science, Special Seminar on Data Sciences (Case Studies on Data Sciences I・II), the MaDX program, Hokkaido Univ., 26th/09/2024.
Complex surface singularity links and their Immersions, Polish-Japanese Singularity Theory Working Days, Warsaw Univ. of Tech., 13th/09/2024.
Immersions of surface singularity links and their topology, MSJ Autumn Meeting 2024, Osaka University, 05th/09/2024.
Immersions of surface singularity links and their topology, Singularity Theory and its related fields, Chitose International Multipurpose Business Exchange Center, 20th/06/2024.　slide
On immersions of 3-manifolds into 5-space, The 47th Izu Topology Seminar, Hotel Ito Garden, 13th/03/2024.
☆Stratification of Definable Lie Groupoids and their orbit spaces, Saitama Univ. Geometry Seminar, Saitama Univ., 14th/12/2023.
Canonical Stratification of Definable Lie Groupoids, Workshop on Algebraic and Analytic Singularities, Warsaw Univ. of Tech., 20th/09/2023.　slide
Canonical Stratification of Definable Lie Groupoids, Higher Algebra in Geometry, RIKEN iTHEMS, 02nd/08/2023.
☆Real analytic extension problem of functions on normal crossings, 「Singularities of Differentiable Maps and its Applications」 In Commemoration of Goo Ishikawa’s all years of hard work, Hokkaido University, 07th/03/2023.
Canonical Stratification of Definable Groupoids in a tame topology, The 19th Mathematics Conference for Young Reseachers, Hokkaido University, 06th/03/2023.
Structure of orbit spaces of definable groupoids, RIMS-Sing 1: Singularity theory and its applications, video, available: 03rd/10/2022--15th/12/2022.
Canonical Stratification of Definable Groupoids, MSJ Autumn Meeting 2022, Hokkaido University, 13th/09/2022.
Canonical Stratification of Definable Groupoids, Applications of Singularity Theory to Topology, Differential Geometry and related fields, online, 17th/06/2022.

☆: Invited speech

Poster sessions

Immersions associated with links of simple singularities and their topology, The 21st Mathematics Conference for Young Reseachers, Hokkaido University, 05th/03/2025.　poster
[with Kotaro Sakamoto, Ryosuke Sakamoto, Masatomo Akagawa, Yusuke Hayashi, Manato Yaguchi, Masahiro Suzuki, Yutaka Matsuo] The Geometry of Diffusion Models: Tubular Neighbourhoods and Sigularities, ICML 2024 Workshop GRaM (Geometry-grounded Representation Learning and Generative Modeling), 27th/07/2024.
Canonical Stratification of Definable Lie Groupoids, MSJ-SI 2022: Deepening and evolution of applied singularity theory, online, 25th/11/2022.　poster

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