石塚 裕大

Last Update: 2018/07/26 14:55:33

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Name(Kanji/Kana/Abecedarium Latinum)
石塚 裕大/イシツカ ヤスヒロ/Ishitsuka, Yasuhiro
Primary Affiliation(Org1/Job title)
Graduate Schools Science/Program-Specific Assistant Professor
Academic Degree
Field(Japanese) Field(English) University(Japanese) University(English) Method
修士(理学) 京都大学
博士(理学) 京都大学
researchmap URL
https://researchmap.jp/yasuhiroishitsuka
Research Topics
(Japanese)
数論的不変式論
(English)
Arithmetic Invariant Theory
Overview of the research
(Japanese)
数論で重要な対象が、全体としてどう振る舞うのかを研究することが大きなテーマである。主な手法は、数論の対象を代数群の線形表現の軌道などの言葉に置き換えることで、調和解析的な手法を使えるようにするというものである。この置き換え自体にも重要なテーマが多く眠っていると考えており、そちらの背景事情の調査も合わせて研究を行っている。
(English)
My major subject is how the important objects in number theory behave in average. To study this, I replace the objects into the orbits of linear representations of algebraic groups, and use a kind of method of harmonic analysis. Besides, I research the replacement of objects into orbits subject itself because it has connection in various subjects.
Fields of research (key words)
Key words(Japanese) Key words(English)
数論的不変式論 Arithmetic Invariant Theory
降下理論 Descent theory
Published Papers
Author Author(Japanese) Author(English) Title Title(Japanese) Title(English) Bibliography Bibliography(Japanese) Bibliography(English) Publication date Refereed paper Language Publishing type Disclose
Ishitsuka Yasuhiro 石塚 裕大 Ishitsuka Yasuhiro A positive proportion of cubic curves over Q admit linear determinantal representations A positive proportion of cubic curves over Q admit linear determinantal representations A positive proportion of cubic curves over Q admit linear determinantal representations Journal of the Ramanujan Mathematical Society, 32, 3, 231-257 Journal of the Ramanujan Mathematical Society, 32, 3, 231-257 Journal of the Ramanujan Mathematical Society, 32, 3, 231-257 2017/09 Refereed English Research paper(scientific journal) Disclose to all
Yasuhiro Ishitsuka, Tetsushi Ito 石塚 裕大、伊藤 哲史 Yasuhiro Ishitsuka, Tetsushi Ito The local–global principle for symmetric determinantal representations of smooth plane curves in characteristic two The local–global principle for symmetric determinantal representations of smooth plane curves in characteristic two The local–global principle for symmetric determinantal representations of smooth plane curves in characteristic two Journal of Pure and Applied Algebra, 21, 6, 1316-1321 Journal of Pure and Applied Algebra, 21, 6, 1316-1321 Journal of Pure and Applied Algebra, 21, 6, 1316-1321 2017/06 Refereed English Research paper(scientific journal) Disclose to all
Yasuhiro Ishitsuka, Tetsushi Ito 石塚 裕大、伊藤 哲史 Yasuhiro Ishitsuka, Tetsushi Ito The local–global principle for symmetric determinantal representations of smooth plane curves The local–global principle for symmetric determinantal representations of smooth plane curves The local–global principle for symmetric determinantal representations of smooth plane curves The Ramanujan Journal, 43, 1, 141-162 The Ramanujan Journal, 43, 1, 141-162 The Ramanujan Journal, 43, 1, 141-162 2017/05 Refereed English Research paper(scientific journal) Disclose to all
Yasuhiro Ishitsuka, Tetsushi Ito 石塚 裕大、伊藤 哲史 Yasuhiro Ishitsuka, Tetsushi Ito On the symmetric determinantal representations of the Fermat curves of prime degree On the symmetric determinantal representations of the Fermat curves of prime degree On the symmetric determinantal representations of the Fermat curves of prime degree International Journal of Number Theory, 12, 4, 955-967 International Journal of Number Theory, 12, 4, 955-967 International Journal of Number Theory, 12, 4, 955-967 2015/10 Refereed English Research paper(scientific journal) Disclose to all
Ishitsuka Yasuhiro 石塚 裕大 Ishitsuka Yasuhiro An algorithm to obtain linear determinantal representations of smooth plane cubics over finite fields An algorithm to obtain linear determinantal representations of smooth plane cubics over finite fields An algorithm to obtain linear determinantal representations of smooth plane cubics over finite fields JSIAM Letters, 8, 69-72 JSIAM Letters, 8, 69-72 JSIAM Letters, 8, 69-72 2015 Refereed English Research paper(international conference proceedings) Disclose to all
Title language:
Conference Activities & Talks
Title Title(Japanese) Title(English) Conference Conference(Japanese) Conference(English) Promotor Promotor(Japanese) Promotor(English) Date Language Assortment Disclose
三次曲線の回転対称な行列式表示について[Invited] 三次曲線の回転対称な行列式表示について [Invited] 第16回北陸数論研究集会「数論における行列式表示」 第16回北陸数論研究集会「数論における行列式表示」 2017/12/27 English Oral presentation(invited, special) Disclose to all
Arithmetic of rotationally symmetric determinantal representations[Invited] Arithmetic of rotationally symmetric determinantal representations [Invited] Arithmetic of rotationally symmetric determinantal representations [Invited] Arithmetic Geometry and Related Topics Arithmetic Geometry and Related Topics Arithmetic Geometry and Related Topics 2017/11/20 English Oral presentation(general) Disclose to all
三次曲線の線形行列式表示について 三次曲線の線形行列式表示について 第47回愛媛大学代数セミナー 第47回愛媛大学代数セミナー 2017/10/20 English Public discourse, seminar, tutorial, course, lecture and others Disclose to all
Computation on linear determinantal representations Computation on linear determinantal representations Computation on linear determinantal representations Kobe Number Theory Workshop 2017 神戸整数論集会2017 Kobe Number Theory Workshop 2017 2017/06/08 English Oral presentation(general) Disclose to all
Title language:
External funds: competitive funds and Grants-in-Aid for Scientific Research (Kakenhi)
Type Position Title(Japanese) Title(English) Period
若手研究(B) Representative 極小複体による幾何的対象の解釈と数論的応用 (平成29年度分) 2017/04/01-2018/03/31
Teaching subject(s)
Name(Japanese) Name(English) Term Department Period
ILASセミナー ILAS Seminar 前期 全学共通科目 2018/04-2019/03
Academic organizaions (conference administrator)
Organization name Group name Title Period
Kobe Number Theory Workshop 2017 運営委員 2017/06/07-2017/06/09
Other activities
Meeting Title Date
第18回JST数学キャラバン「拡がりゆく数学 in 水戸 2016年度」 代数構造のはなし:整数論の話題から 2016/12/17