Abe Takuro

Affiliation and department：
Job title： Professor
Homepage URL (1)： https://sites.google.com/site/takuroabemath/a-bu-ta-lang?authuser=0

Research field (2)： Algebra , Algebra

Research keywords (5)： Algebraic Geometry , Root systems , Vector bundles , Logarithmic vector fields , Arrangements of hyperplanes

Research theme for competitive and other funds (13)：

2023 - 2029 Fusion of enumerative and algebraic geometry, and exploration of quasi-geomtric invariants
2023 - 2028 Discrete structures related to hyperplane arrangements, generalization, deepening, and applications
2021 - 2026 Research of logarithmic vector fields of hyperplane arrangements
2018 - 2023 Explicit study of hyperplane arrangements and related stratified spaces via discrete structures
2020 - 2023 Fusion of algebra, geometry and combinatorics based on the roots of Poincare polynomials of hyperplane arrangements

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Papers (53)：

Takuro Abe, Tan Nhat Tran, Shuhei Tsujie. Vertex-weighted digraphs and freeness of arrangements between Shi and Ish. European Journal of Combinatorics. 2024. 118
Takuro Abe, Denis Ibadula, Anca Măcinic. On some freeness-type properties for line arrangements. ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE. 2024. 25. 1. 427-447
Abe, Takuro. Addition-deletion theorems for the Solomon-Terao polynomials and B-sequences of hyperplane arrangements. Mathematische Zeitschrift. 2024. 306. 205
Takuro Abe. Projective dimensions of hyperplane arrangements. Transactions of the American Mathematical Society, accepted. 2024
Takuro Abe, Gerhard Roehrle, Christian Stump, Masahiko Yoshinaga. A Hodge filtration of logarithmic vector fields for well-generated complex reflection groups. Journal of Combinatorial Algebra, accepted. 2024

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MISC (1)：

Lectures and oral presentations (86)：

Multi-Euler derivation
(Multiarrangements of type B_2 and related topics 2024)
Regularity of logarithmic modules and Solomon-Terao polynomials of hyperplane arrangements
(Semianr of Algebra 2024)
Multi-Euler derivations
(OBERSEMINAR "ARRANGEMENTS AND SYMMETRIES" 2024)
Projective dimensions of weakly chordal graphic arrangements
(JSPS-VAST Bilateral Joint Research Project Workshop "Topology of Singularities and Related Topics" 2023)
Algebraic understanding of integer roots of characteristic polynomials of hyperplane arrangements
(Order Seminar 2023)

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Education (3)：

Professional career (1)：

Work history (7)：

2023/04 - 現在 Rikkyo University Department of Mathematics, Faculty of Science Professor
2019/07 - 2023/03 Kyushu University Institute of Mathematics for Industry Professor
2016/03 - 2019/06 Kyushu University Institute of Mathematics for Industry Associate Professor
2010/10 - 2016/02 Kyoto University Graduate School of Engineering Lecturer
2008/10 - 2010/09 Kyoto University Graduade School of Science Program specific assistant professor (GCOE)

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Committee career (1)：

Association Membership(s) (1)：

THE MATHEMATICAL SOCIETY OF JAPAN

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