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Research Interests

My research concerns topological and geometric problems in the sciences and other disciplines.
On a theoretical side, I am interested in compact Lie groups, their homogeneous spaces, and manifolds with Lie group actions, and I study their topological invariants such as the (equivariant) cohomology.
For applications, I pursue a research program on topological methods in computer sciences, particularly computer graphics, data analysis, and information security.

Please look at Publications for papers, Talks for slides, and Computer Codes.

For prospective students

I have created a video (in Japanese) to introduce myself and my research.

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