Home

Research Interests

My research focuses on topological and geometric problems arising both within pure mathematics and across various scientific and engineering disciplines. On the theoretical side, I am particularly interested in compact Lie groups, their homogeneous spaces, and manifolds equipped with Lie group actions. I study the topological invariants of these spaces, including (equivariant) cohomology, with an emphasis on their algebraic and geometric structures.
On the applied side, I pursue a research programme on the development and application of topological methods in computer science. My current work explores applications in computer graphics, data analysis, and information security, where topological and geometric insights provide novel approaches to complex computational problems.

Please see the Publications section for a list of papers, Talks for presentation slides, and Computer Codes for related software and implementations.

For prospective students

I have created a video (in Japanese) introducing myself and my research interests.

Seminar

多項式数学セミナー

一般の方へ

中高生向けには，オープンキャンパス用にビデオを用意しています．

小中高生向け，企業や一般向けの講演・出前講義・技術相談・アウトリーチ活動

IMI技術カタログ(研究の紹介)

IMI Project Files(他者による研究の紹介)

カライドサイクルの研究に関するプレスリリース・朝日新聞の記事(デジタル)，紙面，アベプラ

JSTさきがけ成果紹介