Shota Maehara's website

Affiliation: Joint Graduate School of Mathematics for Innovation, Kyushu University, Fukuoka, Japan
     E-mail: maehara.shota.027 "at" s.kyushu-u.ac.jp

• 日本語版(Japanese version)

Reserch Interests

Key words: hyperplane arrangement; multiarrangement; extendability

Let us consider multiarrangements in a 2-dimensional vector space over a field of characteristic zero. For 2-dimensional multiarrangements, the exponenets of them are very important to consider the freeness of 3-dimensional simple arrangements. Now I'm wondering if we can completely solve the exponents for multiarrangements of the Coxeter arrangment of type B_2, which is the line arrangement defined by xy(x-y)(x+y).

Presentation in academic conference

About mathematics

1. 2023-11 Polynomial Mathematics Seminar(Kyushu University),
   --(Japanese talk)
2. 2023-12 Hyperplane Arrangements 2023(Rikkyo University),
   --Explicit description of a basis for derivation modules of some multiarrangements of type B_2
3. 2024-3 The 20th Mathematics Conference for Young Researchers(Hokkaido University),
   --(Japanese talk)
4. 2024-3 Multiarrangements of type B_2 and related topics(Osaka University),
   --On the existence of lower derivations for some multiarrangements of type B_2
5. 2025-3 Algebraic Geometry, Topology, Combinatorics and Related Topics 2025(Tokushima University),
   --Free multiarrangements of not having any free extension

About medicine

1. 2023-11 第28回日本薬剤疫学会学術総会(Kyoto University),
   --(Japanese title)

Publish

1. Explicit description of a basis for derivations of a Coxeter multiarrangement of type B_2, Shota Maehara, Yasuhide Numata: arXiv-2312.06356
   

CV

November 1998:　Born in Hamada city, Shimane prefecture, Japan

April 2017--March 2021:　Bachelor of Engineering Degree, Kyushu University

April 2022--March 2024:　Master of Mathematics Degree, Kyushu University

April 2024--:　Ph.D. student in Kyushu University