KOBAYASHI SHINICHI
Organization
Faculty of Mathematics Division of Algebra and Geometry Professor
School of Sciences Department of Mathematics（Joint Appointment）
Graduate School of Mathematics Department of Mathematics（Joint Appointment）
Joint Graduate School of Mathematics for Innovation
（Joint Appointment）
Title
Professor
External link
Degree
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Mathematical Sciences
Research History
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名古屋大学(2003-2008) 東北大学 (2009-2015)
Research Interests・Research Keywords
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Research theme：Iwasawa theory for elliptic curves and modular forms
Keyword：Iwasawa theory, elliptic curves, modular forms
Research period： 2002.10 - 2016.12
Awards
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日本数学会 代数学賞
2019.3 日本数学会 楕円曲線の岩澤理論
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特別研究員等審査審査会専門委員 表彰
2016.10 日本学術振興会
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建部賢弘賞
2002.10 日本数学会 Iwasawa theory for elliptic curves at supersingular primes
Papers
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p-adic L-functions and rational points on CM elliptic curves at inert primes Reviewed International journal
Ashay Burungale, Shinichi Kobayashi, Kazuto Ota
Journal of the Institute of Mathematics of Jussieu 2023.7
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Rubin’s conjecture on local units in the anticyclotomic tower at inert primes Invited Reviewed International journal
194 ( 3 ) 2021.11
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Anticyclotomic main conjecture for modular forms and integral Perrin-Riou twists Invited Reviewed International journal
Kazuto Ota, Shinichi Kobayashi
Proceedings of Iwasawa 2017 2019.12
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The p-adic Gross-Zagier formula for elliptic curves at supersingular primes Reviewed International journal
Inventiones mathematicae 191 ( 3 ) 527 - 629 2013.4
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Algebraic theta functions and p-adic interpolation of Eisenstein-Kronecker numbers Reviewed International journal
Duke Mathematical Journal 153 ( 2 ) 229 - 295 2010.10
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On the de Rham and p-adic realizations of the elliptic polylogarithm for CM elliptic curves Reviewed International journal
43 ( 2 ) 185 - 234 2010.10
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Iwasawa theory for elliptic curves at supersingular primes Reviewed International journal
Inventiones mathematicae 152 ( 3 ) 609 - 623 2003.10
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The local root number of elliptic curves with wild ramification Invited Reviewed International journal
Mathematische Annalen 323 ( 3 ) 609 - 623 2002.10
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A p-adic interpolation of generalized Heegner cycles and integral Perrin-Riou twist I Invited Reviewed International journal
Shinichi Kobayashi
Annales mathematiques du Quebec 47 73 - 116 2023.3
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Category of mixed plectic Hodge structures Invited Reviewed International journal
Kenichi Bannai; Kei Hagihara; Shinichi Kobayashi; Kazuki Yamada; Shuji Yamamoto; Seidai Yasuda
Asian Journal of Mathematics 2020.10
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反円分拡大の岩澤理論と一般Heegnerサイクル Invited Reviewed International journal
小林真一
RIMS講究録別冊 2020.7
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楕円保型形式に対する反円分岩澤主予想 Invited Reviewed International journal
太田和椎, 小林真一
RIMS別冊講究録 B83 2020.6
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The radius of convergence of the p-adic sigma function. Reviewed International journal
Kenichi Bannai, Shinichi Kobayashi, Seidai Yasuda
Mathematische Zeitschrift 286 ( 1-2 ) 751 - 781 2017.1
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The p-adic height pairing on abelian varieties at non-ordinary primes Invited Reviewed International journal
Iwasawa 2012, Springer 2016.10
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Torsion points on Jacobian varieties via Anderson's p-adic Soliton Theory Reviewed International journal
Asian Journal of mathematics 20 ( 2 ) 323 - 352 2016.1
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Integral structures on p-adic Fourier theory Reviewed International journal
Annales de L'Institut Fourier 66 ( 1 ) 521 - 550 2016.1
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p-adic Eisenstein-Kronecker series for CM elliptic curves and the Kronecker limit formulas Reviewed International journal
nagoya mathematical journal 219 269 - 302 2015.1
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An Elementary Proof of the Mazur-Tate-Teitelbaum Conjecture for Elliptic Curves Invited Reviewed International journal
Documenta mathematica Extra Volume, John H. Coates' Sixtieth Birthday 567 - 575 2006.10
Books
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数論入門辞典
木村巌, 関真一朗, 横山俊一,田口雄一郎, 市川尚志, 安福 悠, 落合理, 加藤文元, 小林真一, 吉永正彦, 大野泰生, 川口周, 山内卓也, 石川佳弘, 三枝洋一, 鈴木正俊, 三浦伸夫, 室井和男, 斎藤憲, 三浦伸夫, 栗原将人,足立恒雄,三宅克哉,黒川信重, 高瀬正仁（ Role： Joint author）
朝倉書店 2023.6
Presentations
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Anticyclotomic CM Iwasawa theory at inert primes II International conference
Shinichi Kobayashi, Ashay Burungale
Arithmetic of L-functions 2023.5
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Anticyclotomic CM Iwasawa theory at inert primes I Invited International conference
Shinichi Kobayashi, Ashay Burungale
Arithmetic of L-functions 2023.4
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The p-adic valuation of local resolvents and anticyclotomic Hecke L-values of imaginary quadratic fields at inert primes Invited International conference
Shinichi Kobayashi
Japan-Taiwan Joint Conference on Number Theory 2023 2023.8
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局所Z_p-拡大に付随するリゾルベントのp進付値について Invited
小林真一
杉本代数セミナー 2023.7
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Integral structures on p-adic Fourier theory Invited International conference
Shinichi Kobayashi
Number theory seminar 2023.2
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The p-adic valuation of local resolvents and anticyclotomic Hecke L-values of imaginary quadratic fields at inert primes Invited International conference
Shinichi Kobayashi
Algebraic/Analytic aspects of L-functions 2023.1
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The p-adic valuation of local resolvents and anticyclotomic Hecke L-values of imaginary quadratic fields at inert primes Invited International conference
Shinichi Kobayashi
Seminar on Geometry and Arithmetic 2023.1
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Rubin's conjecture on local units in the anticyclotomic tower at inert primes Invited International conference
Shinichi Kobayashi
Elliptic curves and modular forms in arithmetic geometry 2022.9
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非通常素点におけるCM楕円曲線の反円分岩澤理論 Invited
小林真一
京都大学数論合同セミナー 2022.7
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非通常素点におけるCM楕円曲線の反円分岩澤理論とp進Beilinson公式 Invited
小林 真一
北陸数論セミナー 2022.6
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Local units and root numbers of Hecke L-functions in anticyclotomic extensions at inert primes Invited International conference
Shinichi Kobayashi
Arithmetic Geometry Takeshi 60 2021.9
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惰性的素数における CM 楕円曲線の岩澤理論 Invited
小林 真一
九州代数的整数論2021春hybrid 2021.3
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On p-divisibilities of Special values of the Hecke L-function of CM elliptic curves at inert primes Invited International conference
Shinichi Kobayashi
L-values and Iwasawa theory 2020.11
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A p-adic interpolation of generalized Heegner cycles and integral Perrin-Riou tiwsts
Shinichi KOBAYASHI
Number theory Seminar at California technology of Institute 2020.3
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Birch and Swinnerton-Dyer予想と反円分岩澤理論
小林真一
名古屋大学多元数理科学研究科談話会 2019.12
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Birch and Swinnerton-Dyer予想と楕円曲線の岩澤理論
小林真一
九州大学数理談話会, IMI colloquium 2019.4
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岩沢理論-過去と現在 Invited
小林真一
日本数学会 2019.3
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Anticyclotomic Iwasawa theory and integral Perrin-Riou twists Invited
Shinichi KOBAYASHI
Colloquium of Tata institute of fundamental research 2019.3
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Cyclotomic p-adic L-function for GL(2)Q: Rankin-Selberg Construction Invited International conference
Shinichi KOBAYASHI
Special Values of Automorphic L-functions and Associated p-adic L-Functions 2018.10
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Lectures on the p-adic Gross-Zagier formula Invited International conference
2018.3
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保型形式の反円分岩澤理論 Invited
小林真一
東京電機大学 数学講演会 2018.2
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楕円曲線の反円分拡大の岩澤理論 Invited
小林真一
新潟代数セミナー 2017.11
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Iwasawa theory for generalized Heegner cycles at non-ordinary primes Invited
Workshop on p-adic L-functions and algebraic cycles 2017.9
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Iwasawa theory for generalized Heegner cycles at non-ordinary primes International conference
Special Cycles on Shimura Varieties and Iwasawa Theory 2017.8
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Local Iwasawa theory of modular forms for the anti-cyclotomic Z_p-extension Invited International conference
Iwasawa2017 2017.7
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一般Heegner cycleの岩澤主予想
小林真一
東北大学代数セミナー 2017.6
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The p-adic Gross-Zagier formula for higher weight modular forms at non-ordinary primes International conference
Fukuoka International Conference on Arithmetic Geometry in 2017, Kyushu University 2017.4
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Anticyclotomic Iwasawa theory for modular forms at non-ordinry primes International conference
Sendai International conference on Arithmetic Geometry in 2016 2016.1
MISC
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p進バーチ-スウィンナートン・ダイヤー予想と岩澤理論的現象
小林真一
数学セミナー 2018.1
Professional Memberships
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日本数学会
Committee Memberships
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Steering committee member Domestic
2023.3 - 2033.3
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日本数学会 代数学分科会運営委員 Domestic
2023.3 - 2033.3
Academic Activities
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プログラム委員
日本数学会 年会 （ 大阪公立大学 ） 2024.3
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Research in Number Theory International contribution
2022.3 - 2024.3
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Taiwanese Journal of Mathematics International contribution
2022.2 - 2026.2
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Screening of academic papers
Role(s)： Peer review
2022
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代表, プログラム委員 International contribution
代数的整数論とその周辺2021 （ 京都大学数理解析研究所 ） 2021.12
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Screening of academic papers
Role(s)： Peer review
2021
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RIMS講究録 別冊 代数的整数論とその周辺 International contribution
2020.12 - 2022.3
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プログラム委員
代数的整数論とその周辺 2020 （ 京都大学数理解析研究所（ハイブリッド） ） 2020.4 - 2021.3
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プログラム委員
代数学シンポジウム （ 千葉大学（オンライン） ） 2020.4 - 2021.3
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Screening of academic papers
Role(s)： Peer review
2020
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Screening of academic papers
Role(s)： Peer review
2019
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Screening of academic papers
Role(s)： Peer review
2019
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Screening of academic papers
Role(s)： Peer review
2018
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Advanced Studies in Pure Mathematics International contribution
2017.4 - Present
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Screening of academic papers
Role(s)： Peer review
2017
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日本学術振興会特別研究員審査員
Role(s)： Review, evaluation
日本学術振興会 2014.4 - 2016.3
Research Projects
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反円分岩澤理論の新展開とL-関数の特殊値公式
Grant number：22H00096 2022 - 2026
日本学術振興会 科学研究費助成事業 基盤研究(A)
Authorship：Principal investigator Grant type：Scientific research funding
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新しい対称性による数論幾何的単数の創出に向けた戦略的研究
Grant number：18H05233 2018 - 2022
日本学術振興会 科学研究費助成事業 基盤研究(S)
Authorship：Coinvestigator(s) Grant type：Scientific research funding
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代数的サイクルと岩澤理論
Grant number：17H02836 2017 - 2021
日本学術振興会 科学研究費助成事業 基盤研究(B)
Authorship：Principal investigator Grant type：Scientific research funding
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実乗法をもつモチーフの新しい対称性の研究
Grant number：16K13742 2016 - 2017
科学研究費助成事業 挑戦的萌芽研究
Authorship：Principal investigator Grant type：Scientific research funding
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Eisenstein類を核とした数論幾何的予想の解決に向けた戦略的研究
Grant number：26247004 2014 - 2019
日本学術振興会 科学研究費助成事業 基盤研究(A)
Authorship：Coinvestigator(s) Grant type：Scientific research funding
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岩澤理論の発展と展開
Grant number：25247002 2013 - 2018
日本学術振興会 科学研究費助成事業 特別推進研究
Authorship：Coinvestigator(s) Grant type：Scientific research funding
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L-関数の特殊値公式へのp進的アプローチ
Grant number：25707001 2013 - 2016
科学研究費助成事業 若手研究(A)
Authorship：Principal investigator Grant type：Scientific research funding
Class subject
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数理学講究第Ⅰ
2023.10 - 2024.3 Second semester
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数理学講究第Ⅱ
2023.4 - 2024.3 Full year
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代数学Ⅱ・演習
2022.10 - 2023.3 Second semester
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代数学Ⅱ・演習
2022.10 - 2023.3 Second semester
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卓越基礎講究
2022.4 - 2023.3 Full year
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数理科学特論１２
2022.4 - 2022.9 First semester
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数理科学特別講義Ⅻ
2022.4 - 2022.9 First semester
-
数論基礎・演習
2022.4 - 2022.9 First semester
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数理科学特別講義Ⅻ
2021.10 - 2022.3 Second semester
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数理科学特別講義Ⅻ
2021.10 - 2022.3 Second semester
-
数理科学特論１２
2021.10 - 2022.3 Second semester
-
数理科学特論１２
2021.10 - 2022.3 Second semester
-
代数学Ⅱ・演習
2021.10 - 2022.3 Second semester
-
代数学Ⅱ・演習
2021.10 - 2022.3 Second semester
-
数理科学特別講義Ⅻ
2021.10 - 2022.3 Second semester
-
数理科学特論１２
2021.10 - 2022.3 Second semester
-
代数学Ⅱ・演習
2021.10 - 2022.3 Second semester
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代数学Ⅱ・演習
2021.10 - 2022.3 Second semester
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数論基礎・演習
2021.4 - 2021.9 First semester
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数論基礎・演習
2021.4 - 2021.9 First semester
-
数理科学特別講義Ⅻ
2021.4 - 2021.9 First semester
-
数理科学特論１２
2021.4 - 2021.9 First semester
-
代数学Ⅱ・演習
2020.10 - 2021.3 Second semester
-
微分積分学・同演習Ⅲ
2020.4 - 2020.9 First semester
-
数論基礎・演習
2020.4 - 2020.9 First semester
-
微分積分学・同演習Ｂ
2019.10 - 2020.3 Second semester
-
線形代数学・同演習Ｂ
2019.10 - 2020.3 Second semester
-
微分積分学・同演習Ｂ
2019.10 - 2020.3 Second semester
-
線形代数学・同演習Ｂ
2019.10 - 2020.3 Second semester
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線形代数学・同演習B
2019.10 - 2020.3 Second semester
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微分積分学・同演習B
2019.10 - 2020.3 Second semester
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代数学Ⅰ・演習
2019.4 - 2019.9 First semester
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微分積分学・同演習Ａ
2019.4 - 2019.9 First semester
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線形代数学・同演習Ａ
2019.4 - 2019.9 First semester
-
代数学Ⅰ・演習
2019.4 - 2019.9 First semester
-
微分積分学・同演習Ａ
2019.4 - 2019.9 First semester
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線形代数学・同演習Ａ
2019.4 - 2019.9 First semester
-
線形代数学・同演習Ａ
2019.4 - 2019.9 First semester
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微分積分学・同演習Ａ
2019.4 - 2019.9 First semester
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代数学 I ・ 演習
2019.4 - 2019.9 First semester
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線形代数学・同演習Ｂ
2018.10 - 2019.3 Second semester
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微分積分学・同演習Ｂ
2018.10 - 2019.3 Second semester
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代数学Ⅰ・演習
2018.4 - 2018.9 First semester
-
線形代数学・同演習Ａ
2018.4 - 2018.9 First semester
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微分積分学・同演習Ａ
2018.4 - 2018.9 First semester
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代数学Ⅲ
2017.10 - 2018.3 Second semester
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線形代数学･同演習B
2017.10 - 2018.3 Second semester
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微分積分学･同演習Ⅱ
2017.10 - 2018.3 Second semester
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線形代数学･同演習A
2017.4 - 2017.9 First semester
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微分積分学･同演習Ⅰ
2017.4 - 2017.9 First semester
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数理科学特別講義Ⅴ
2017.4 - 2017.9 First semester
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代数学III演習
2016.10 - 2017.3 Second semester
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代数学III
2016.10 - 2017.3 Second semester
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数論大意2
2016.10 - 2017.3 Second semester
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数論大意
2016.10 - 2017.3 Second semester
FD Participation
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2023.2 Role：Moderator Title：数理学府FD
Organizer：[Undergraduate school/graduate school/graduate faculty]
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2022.4 Role：Participation Title：数理学府FD
Organizer：[Undergraduate school/graduate school/graduate faculty]
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2021.7 Role：Participation Title：数理学府FD
Organizer：[Undergraduate school/graduate school/graduate faculty]
-
2021.3 Role：Participation Title：数理学府FD
Organizer：[Undergraduate school/graduate school/graduate faculty]
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2020.7 Role：Participation Title：数理学府FD
Organizer：[Undergraduate school/graduate school/graduate faculty]
Outline of Social Contribution and International Cooperation activities
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レーゲンスブルグ大学(ドイツ)の博士号審査委員
Travel Abroad
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2024.10
Staying countory name 1：France Staying institution name 1：IHES
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2024.8
Staying countory name 1：Taiwan, Province of China Staying institution name 1：NPU
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2024.7
Staying countory name 1：United Kingdom Staying institution name 1：Newton Institute
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2024.6
Staying countory name 1：Germany Staying institution name 1：Oberwolfach研究所
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2024.5
Staying countory name 1：Spain Staying institution name 1：マドリード工科大学
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2020.3
Staying countory name 1：United States Staying institution name 1：カリフォルニア工科大
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2018.3
Staying countory name 1：China Staying institution name 1：fudan university
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2013.3 - 2013.2
Staying countory name 1：France Staying institution name 1：パリ６大学
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2004.9 - 2006.9
Staying countory name 1：France Staying institution name 1：パリ６大学