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 (55)：

Takuro Abe. Projective dimensions of hyperplane arrangements. Transactions of the American Mathematical Society. 2024. 377. 11. 7793-7827
Takuro Abe, Naoya Enomoto, Misha Feigin, Masahiko Yoshinaga. Free reflection multiarrangements and quasi-invariants. International Mathematics Research Notices. 2024
Takuro Abe, Lukas Kühne, Paul Muecksch, Leonie Muehlherr. Projective dimension of weakly chordal graphic arrangements. Algebraic Combinatorics, 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. 2024. 8. 3/4. 251-278
Takuro Abe, Tan Nhat Tran, Shuhei Tsujie. Vertex-weighted digraphs and freeness of arrangements between Shi and Ish. European Journal of Combinatorics. 2024. 118

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MISC (2)：

Lectures and oral presentations (89)：

Cokernel of the Euler restriction map of projective line arrangements
(One-day workshop "Bundles and lattices" 2024)
Double points of line arrangements in the complex projective plane
(Suzhou Workshop on Matroid Theory 2024)
Double Points of Line Arrangements in the Complex Projective Plane
(BICMR Lecture - Algebraic Geometry 2024)
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)

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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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