Shota Tsujimura's Homepage

I am an Assistant Professor at the Research Institute for Mathematical Sciences, Kyoto University.
I have much interest in arithmetic geometry surrounding hyperbolic curves, especially anabelian geometry and related topics.

E-mail: stsuji(at)kurims.kyoto-u.ac.jp

Papers and Preprints

[21] The Anabelian Geometry of Configuration Spaces of Hyperbolic Curves in Positive Characteristic (with Y. Hoshi and K. Sawada),
RIMS Preprint 1984 (May 2024).

[20] On Pro-\(\boldsymbol{p}\) Anabelian Geometry for Hyperbolic Curves of Genus \(\boldsymbol{0}\) over \(\boldsymbol{p}\)-adic Fields,
RIMS Preprint 1983 (April 2024).

[19] Grothendieck Conjecture for Hyperbolic Curves over Finitely Generated Fields of Positive Characteristic via Compatibility of Cyclotomes,
RIMS Preprint 1975 (July 2023), revised version: (PDF).

[18] Resolution of Nonsingularities, Point-theoreticity, and Metric-admissibility for \(\boldsymbol{p}\)-adic Hyperbolic Curves (with S. Mochizuki),
RIMS Preprint 1974 (June 2023), revised version: (PDF).

[17] Anabelian Geometry for Henselian Discrete Valuation Fields with Quasi-finite Residues (with A. Minamide),
RIMS Preprint 1973 (June 2023).

[16] On Generalizations of Anabelian Group-theoretic Properties (with A. Minamide and K. Sawada),
to appear in Hiroshima Math. J: (PDF).

[15] A Note on Stable Reduction of Smooth Curves Whose Jacobians Admit Stable Reduction (with Y. Hoshi),
RIMS Preprint 1964 (August 2022).

[14] On the Injectivity of the Homomorphisms from the Automorphism Groups of Fields to the Outer Automorphism Groups of the Absolute Galois Groups (with Y. Hoshi),
Res. Number Theory 9 (2023), no.2, Paper No. 44.

[13] Birational Anabelian Grothendieck Conjecture for Curves over Arbitrary Cyclotomic Extension Fields of Number Fields,
Adv. Math. 435 (2023), Paper No. 109380.

[12] Anabelian Group-theoretic Properties of the Pro-\(\boldsymbol{p}\) Absolute Galois Groups of Henselian Discrete Valuation Fields (with A. Minamide),
RIMS Preprint 1952 (August 2021).

[11] Construction of Abundant Explicit Nongeometric Pro-\(\boldsymbol{p}\) Galois Sections of Punctured Projective Lines (with Y. Hoshi),
RIMS Preprint 1950 (June 2021).

[10] Construction of Non-\(\boldsymbol{\times\mu}\)-Indivisible TKND-AVKF-fields,
Kodai Math. J. 45 (2022), no.1, 38--48: (PDF).

[9] On the Tempered Fundamental Groups of Hyperbolic Curves of Genus \(\boldsymbol{0}\) over \(\overline{\mathbb{Q}}_p \),
J. Inst. Math. Jussieu 22 (2023), no.6, 2833--2856: (PDF).

[8] Combinatorial Construction of the Absolute Galois Group of the Field of Rational Numbers (with Y. Hoshi and S. Mochizuki),
RIMS Preprint 1935 (December 2020), revised version: (PDF).

[7] On the Semi-absoluteness of Isomorphisms between the Pro-\(\boldsymbol{p}\) Arithmetic Fundamental Groups of Smooth Varieties,
Publ. Res. Inst. Math. Sci. 59 (2023), no.3, 507--541: (PDF).

[6] Strong Indecomposability of the Outer Automorphism Groups of Nonabelian Free Profinite Groups (with A. Minamide): (PDF).

[5] Internal Indecomposability of Profinite Groups (with A. Minamide),
Adv. Math. 409 (2022), Paper No. 108689: (PDF).

[4] Anabelian Group-theoretic Properties of the Absolute Galois Groups of Discrete Valuation Fields (with A. Minamide),
J. Number Theory 239 (2022), 298--334: (PDF).

[3] On the Geometric Subgroups of the Étale Fundamental Groups of Varieties over Real Closed Fields (with Y. Hoshi and T. Murotani),
Math. Z. 298 (2021), no.1-2, 215--229.

[2] Combinatorial Belyi Cuspidalization and Arithmetic Subquotients of the Grothendieck-Teichmüller Group,
Publ. Res. Inst. Math. Sci. 56 (2020), no.4, 779--829: (PDF).

[1] Geometric Version of the Grothendieck Conjecture for Universal Curves over Hurwitz Stacks,
Kodai Math. J. 44 (2021), no.3, 492--555: (PDF).

Proceedings

[2] On the Grothendieck-Teichmüller Group via Combinatorial Anabelian Geometry,
Oberwolfach Report (2023), no.42, 9--12.

[1] Geometric Version of the Grothendieck Conjecture for Universal Curves over Hurwitz Stacks: a research announcement,
RIMS Kôkyûroku Bessatsu B83 (2020), 217--233.

Lecture notes