Researchers Information System

日本語に切り替えるswitch to english

Tsujimura, Shota

Research Institute for Mathematical Sciences (RIMS) Assistant Professor

Tsujimura, Shota
list
    Last Updated :2024/03/20

    Basic Information

    Affiliated programs (koza)

    • Graduate School of Science, 数学・数理解析専攻 解析数理講座, 助教

    Academic Degree

    • 修士(理学)(京都大学)
    • 博士(理学)(京都大学)

    ID,URL

    researchmap URL

    list
      Last Updated :2024/03/20

      Research

      Research Topics, Overview of the research

      • Research Topics

        Anabelian Geometry, Grothendieck-Teichmüller Group, Tempered Fundamental Group
      • Overview of the research

        I am working on anabelian geometry and its application. Especially, his main research interest is generalizations of various Grothendieck Conjecture type results and applications of anabelian geometry to group-theoretic/arithmetic issues surrounding the absolute Galois group of the field of rationals and the Grothendieck-Teichmüller Group.

      Papers

      • Birational anabelian Grothendieck Conjecture for curves over arbitrary cyclotomic extension fields of number fields
        Shota Tsujimura
        Advances in Mathematics, Dec. 2023, Peer-reviewed
      • On the Semi-absoluteness of Isomorphisms between the Pro-$p$ Arithmetic Fundamental Groups of Smooth Varieties
        Shota Tsujimura
        Publications of the Research Institute for Mathematical Sciences, 10 Oct. 2023, Peer-reviewed
      • On the injectivity of the homomorphisms from the automorphism groups of fields to the outer automorphism groups of the absolute Galois groups
        Yuichiro Hoshi; Shota Tsujimura
        Research in Number Theory, 27 May 2023, Peer-reviewed
      • Internal indecomposability of profinite groups
        Arata Minamide; Shota Tsujimura
        Advances in Mathematics, Nov. 2022, Peer-reviewed
      • On the tempered fundamental groups of hyperbolic curves of genus $0$ over $\overline{\mathbb{Q } }_p$
        Shota Tsujimura
        Journal of the Institute of Mathematics of Jussieu, 01 Jun. 2022, Peer-reviewed
      • Anabelian group-theoretic properties of the absolute Galois groups of discrete valuation fields
        Arata Minamide; Shota Tsujimura
        Journal of Number Theory, Jan. 2022, Peer-reviewed
      • Geometric version of the Grothendieck conjecture for universal curves over Hurwitz stacks
        Shota Tsujimura
        Kodai Mathematical Journal, 29 Oct. 2021, Peer-reviewed
      • Combinatorial Belyi Cuspidalization and Arithmetic Subquotients of the Grothendieck–Teichmüller Group
        Shota Tsujimura
        Publications of the Research Institute for Mathematical Sciences, 07 Oct. 2020, Peer-reviewed
      • Geometric Version of the Grothendieck Conjecture for Universal Curves over Hurwitz Stacks: a research announcement
        Shota Tsujimura
        RIMS Kokyuroku Bessatsu, Oct. 2020, Peer-reviewed
      • On the Geometric Subgroups of the Étale Fundamental Groups of Varieties over Real Closed Fields
        Yuichiro Hoshi; Takahiro Murotani; Shota Tsujimura
        Mathematische Zeitschrift, 12 Aug. 2020, Peer-reviewed
      • Construction of Non-$\times\mu$-Indivisible TKND-AVKF-fields
        Shota Tsujimura
        Kodai Mathematical Journal, 18 Mar. 2022, Peer-reviewed

      Misc.

      • Grothendieck Conjecture for Hyperbolic Curves over Finitely Generated Fields of Positive Characteristic via Compatibility of Cyclotomes
        Shota Tsujimura
        RIMS Preprint 1975, Jul. 2023
      • Resolution of Nonsingularities, Point-theoreticity, and Metric-admissibility for p-adic Hyperbolic Curves
        Shinichi Mochizuki; Shota Tsujimura
        RIMS Preprint 1974, Jun. 2023
      • Anabelian Geometry for Henselian Discrete Valuation Fields with Quasi-finite Residues
        Arata Minamide; Shota Tsujimura
        RIMS Preprint 1973, Jun. 2023
      • Strong indecomposability of the profinite Grothendieck-Teichmüller group
        Arata Minamide; Shota Tsujimura
        preprint, Feb. 2022
      • On Generalizations of Anabelian Group-theoretic Properties
        Arata Minamide; Koichiro Sawada; Shota Tsujimura
        RIMS Preprint 1965, Aug. 2022
      • A Note on Stable Reduction of Smooth Curves Whose Jacobians Admit Stable Reduction
        Yuichiro Hoshi; Shota Tsujimura
        RIMS Preprint 1964, Aug. 2022
      • Anabelian Group-theoretic Properties of the Pro-$p$ Absolute Galois Groups of Henselian Discrete Valuation Fields
        Arata Minamide; Shota Tsujimura
        RIMS Preprint 1952, Aug. 2021
      • Construction of Abundant Explicit Nongeometric Pro-$p$ Galois Sections of Punctured Projective Lines
        Yuichiro Hoshi; Shota Tsujimura
        RIMS Preprint 1950, Jun. 2021
      • Combinatorial Construction of the Absolute Galois Group of the Field of Rational Numbers
        Yuichiro Hoshi; Shinichi Mochizuki; Shota Tsujimura
        RIMS Preprint 1935, Dec. 2020

      Presentations

      • Recent progress in the research on the Grothendieck-Teichmüller group via combinatorial anabelian geometry
        Shota Tsujimura
        Arithmetic Homotopy & Galois Theory, Oberwolfach-RIMS Tandem Workshop, 25 Sep. 2023, Invited
      • Geometrically pro-p Grothendieck Conjecture for hyperbolic curves of genus 0 over mixed characteristic discrete valuation fields of residue characteristic p
        辻村昇太
        数理研数論セミナー, 30 Jan. 2023
      • Combinatorial Construction of the Absolute Galois Group of the Field of Rational Numbers
        辻村昇太
        2022年度(第29回)整数論サマースクール, 09 Sep. 2022
      • Combinatorial Construction of the Field of Algebraic Numbers
        辻村昇太
        2022年度(第29回)整数論サマースクール, 09 Sep. 2022
      • Arithmetic Subquotients of the Grothendieck-Teichmüller Group
        辻村昇太
        2022年度(第29回)整数論サマースクール, 09 Sep. 2022
      • Combinatorial Belyi Cuspidalization
        辻村昇太
        2022年度(第29回)整数論サマースクール, 09 Sep. 2022
      • Birational Grothendieck Conjecture over TKND-AVKF-fields
        辻村昇太
        数理研数論セミナー, 31 Jan. 2022
      • 遠アーベル幾何学の観点からのGrothendieck-Teichmüller群GTの研究
        辻村昇太
        京都大学談話会, 01 Dec. 2021, Invited
      • Combinatorial construction of the absolute Galois group of the field of rational numbers (II)
        Shota Tsujimura
        Inter-universal Teichmüller Theory Summit 2021, 10 Sep. 2021, Invited
      • Combinatorial construction of the absolute Galois group of the field of rational numbers (I)
        Shota Tsujimura
        Inter-universal Teichmüller Theory Summit 2021, 10 Sep. 2021, Invited
      • Cyclotomic Rigidity via Brauer Groups
        Shota Tsujimura
        Invitation to Inter-universal Teichmüller Theory, 01 Sep. 2021, Invited
      • Model Frobenioids
        Shota Tsujimura
        Invitation to Inter-universal Teichmüller Theory, 31 Aug. 2021, Invited
      • Combinatorial Belyi cuspidalization (II)
        Shota Tsujimura
        Combinatorial Anabelian Geometry and Related Topics, 08 Jul. 2021
      • Combinatorial Belyi cuspidalization (I)
        Shota Tsujimura
        Combinatorial Anabelian Geometry and Related Topics, 08 Jul. 2021
      • Geometric version of the Grothendieck conjecture for universal curves over Hurwitz stacks
        Shota Tsujimura
        Combinatorial Anabelian Geometry and Related Topics, 06 Jul. 2021
      • Anabelian group-theoretic properties of the absolute Galois groups of higher local fields
        Shota Tsujimura
        Foundations and Perspectives of Anabelian Geometry, 02 Jul. 2021, Invited
      • Combinatorial Belyi cuspidalization and its applications
        Shota Tsujimura
        Foundations and Perspectives of Anabelian Geometry, 01 Jul. 2021, Invited
      • Tempered anabelian geometry
        Shota Tsujimura
        Promenade in Inter-Universal Teichmüller Theory - RIMS-Lille 2020-21, 19 Nov. 2020, Invited
      • Arithmetic subquotients of the Grothendieck-Teichmüller group
        Shota Tsujimura
        Groupe d'Étude des Problèmes Diophantiens (GEPbD), 24 Feb. 2020
      • The slimness and elasticity of the absolute Galois groups of local fields
        Shota Tsujimura
        数理研数論セミナー, 27 Jan. 2020
      • A further extension of anabelian Grothendieck conjecture via combinatorial anabelian geometry
        Shota Tsujimura
        University of Nottingham, Number Theory and Geometry, 23 Oct. 2019
      • Combinatorial anabelian geometry and its applications
        Shota Tsujimura
        University of Oxford, Algebra seminar, 15 Oct. 2019
      • Combinatorial anabelian geometry and resolution of nonsingularities
        Shota Tsujimura
        Fundamental groups: Geometry and Arithmetic, 18 Aug. 2019, Invited
      • Combinatorial Belyi cuspidalization and arithmetic subquotients of the Grothendieck-Teichmüller group GT
        Shota Tsujimura
        数理研数論セミナー, 15 Jan. 2019
      • 組み合わせ論的Belyiカスプ化とGrothendieck-Teichmüller群GTの数論的部分商
        辻村昇太
        広島代数学セミナー, 21 Dec. 2018
      • 組み合わせ論的Belyiカスプ化とその応用
        辻村昇太
        東工大 数論・幾何学セミナー, 02 Nov. 2018
      • Geometric Version of the Grothendieck Conjecture for Universal Curves over Hurwitz Stacks
        Shota Tsujimura
        数理研数論セミナー, 29 Jan. 2018
      • 遠アーベル幾何学における(副有限版)デーンツイストの役割とその応用について
        辻村昇太
        第15回代数曲線論シンポジウム, 17 Dec. 2017, Invited
      • Geometric Version of the Grothendieck Conjecture for Universal Curves over Hurwitz Stacks
        Shota Tsujimura
        Algebraic Number Theory and Related Topics 2017, 07 Dec. 2017
      • Geometric Version of the Grothendieck Conjecture for Universal Curves over Hurwitz Stacks
        Shota Tsujimura
        第11回福岡数論研究集会, 08 Aug. 2017
      • Geometric Version of the Grothendieck Conjecture for Universal Curves over Hurwitz Stacks
        Shota Tsujimura
        第16回広島仙台整数論集会, 12 Jul. 2017
      • フルヴィッツスタック上の普遍曲線に対する幾何学版グロタンディーク予想について
        辻村昇太
        p進数論幾何とその周辺, 27 Jun. 2017

      ページ上部へ戻る