JSPS Grant-in-Aid for Scientific Research (S)(25H00399)
Developments of theory of hyperplane arrangements and application to black box of AI
JSPS Grant-in-Aid for Scientific Research (S)(25H00399)
Developments of theory of hyperplane arrangements and application to black box of AI
We will organize an international conference "Arrangements in Osaka 2025" (The University of Osaka, Toyonaka Campus, December 15-19, 2025).
A paper "On Universal derivations for multiarrangements" (Takuro Abe, Shota Maehara, Gerhard Roehrle, Sven Wiesner) is now available on arXiv (November 2025).
Abe gave a talk at AMS Fall Southeastern Meeting 2025 Special Session on Hyperplane arrangements and Polytopes in Tulane University on "Regularity of logarithmic modules of hyperplane arrangements" (October 2025).
A paper "Addition theorems for Ziegler pairs of hyperplane arrangements" (Takuro Abe, Lukas Kuhne, Piotr Pokora) is now available on arXiv (September 2025).
A paper "Solomon-Terao polynomials and Castelnouvo-Mumford regularity of hyperplane arrangements" (Takuro Abe) is now available on arXiv (September 2025).
Applied Mathematics Seminar in Rikkyo University #2 (Speaker: Bruno Buchberger (Johannes Kepler University)) was held (September 2025).
Abe gave a talk at Moduli, Hilbert Schemes and Singularities in Babeș-Bolyai University on "Castelouvo-Mumford regularity and Solomon-Terao polynomial of hyperplane arrangements" (September 2025).
Abe gave a talk at Topology of Arrangements with an Eye to Applications in University of Pisa on "Restriction of free arrangements" (September 2025).
We organized an international conference "New perspectives of coinvariant rings from viewpoints of geometry and algebraic combinatorics" (RIMS, July 2025).
Abe gave a talk at "Oberseminar Groups and Geometry" in Bielefeld University on "Free path and restrictions of hyperplane arrangements" (July 2025).
Website of this project is now ready! (June 2025).
We organized and Abe gave a talk in the meeting "Arrangement Days in NiTech 2025" (June 2025).
Click here for past news
Conferences:
International Conference "Workshop on Algebraic Geometry in Kanazawa" (Kanazawa, December 1-5, 2025)
International Conference "Arrangements in Osaka 2025" (The University of Osaka, Toyonaka Campus, December 15-19, 2025)
Seminars:
Applied Mathematics Seminar in Rikkyo University (details are in Japanese)
Hyperplane Arrangements Seminar (details are in Japanese)
List of research achievements is here.
Principal Investigator: Takuro Abe (Rikkyo University)
Co-Investigators: Shizuo Kaji (Kyushu University / Kyoto University)
Shunsuke Takagi (The University of Tokyo)
Masaya Yasuda (Rikkyo University)
Masahiko Yoshinaga (Osaka University)
Secretaries: A. Taniguchi (Mon., Wed. & Fri.), N. Kuroda (Tue., Wed. & Thu.)
Contact: abetaku-labo[at]rikkyo.ac.jp