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
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