Top
Papers
**Talks**
Curriculum Vitae

**Title of the Talk**,

Title of the Workshop,

Place of the Workshop,

Date of the Workshop.

**Combinatorial anabelian geometry in the absence of group-theoretic cuspidality**,

**Partial combinatorial cuspidalization for F-admissible outomorphisms**,

**Synchronization of tripods**,

**Glueability of combinatorial cuspidalizations**,

The 29th Number Theory Summer School “Combinatorial Anabelian Geometry” (in Japanese),

online,

September 5-9, 2022.

**Ramification of torsion points on a curve with stable reduction over an absolutely unramified base**,

Colloquium Talk at Tokyo Institute of Technology,

Tokyo,

July 13, 2022.**On the Galois Orbit Version of Inter-universal Teichmüller Theory I: a Progress Report**,

**On the Galois Orbit Version of Inter-universal Teichmüller Theory II: a Progress Report**,

Inter-universal Teichmüller Theory Summit 2021,

Kyoto,

September 7-10, 2021.**A Combinatorial Anabelian Result for Stable Log Curves over Log Points**(Talk Slides),

**Combinatorial Anabelian Geometry in the Absence of Group-theoretic Cuspidality**(Talk Slides),

**Synchronization of Tripods and Glueability of Combinatorial Cuspidalizations**(Talk Slides),

**Applications to the Theory of Tempered Fundamental Groups**(Talk Slides),

Combinatorial Anabelian Geometry and Related Topics,

Kyoto,

July 6-9, 2021.**The Absolute Anabelian Geometry of Quasi-tripods**(Talk Slides),

Foundations and Perspectives of Anabelian Geometry,

Kyoto,

June 28-July 2, 2021.**The Absolute Anabelian Geometry of Quasi-tripods**(Report),

Homotopic and Geometric Galois Theory,

The Mathematisches Forschungsinstitut Oberwolfach, online,

March 7-13, 2021.**Existence of a cyclic covering of small degree and of nonzero Hasse-Witt invariant over an algebraic curve in positive characteristic**,

Algebra Seminar at Hiroshima University,

Hiroshima,

November 29, 2019.**An Anabelian Open Basis for a Smooth Variety**,

Fundamental groups: Geometry and Arithmetic,

University of Science and Technology of China,

August 18-22, 2019.**An introduction to nilpotent ordinary indigenous bundles via modular curves**,

**Nilpotent indigenous bundles in characteristic three**,

Witt Vectors, Deformations, and Absolute Geometry,

University of Vermont,

July 16-21, 2018.**A pro-p group-theoretic criterion for good reduction of ordinary proper hyperbolic curves**,

The 7th East Asia Number Theory Conference,

National Taiwan University,

February 5-9, 2018.**On torsion points on a curve with good reduction over an absolutely unramified base**,

Oberseminar Algebra und Geometrie,

Institut für Mathematik in Johann Wolfgang Goethe-Universität Frankfurt am Main,

November 16, 2017.**A simple purely group-theoretic characterization of the Grothendieck-Teichmüller group**,

Nilpotent Fundamental Groups,

The Banff International Research Station for Mathematical Innovation and Discovery,

June 18-23, 2017.**A pro-p group-theoretic criterion for good reduction of ordinary proper hyperbolic curves**,

2017 East Asian Core Doctorial Forum on Mathematics,

Seoul National University,

January 6-10, 2017.**Classical p-adic Teichmüller theory in characteristic three**(Talk Slides),

AMS Summer Institute in Algebraic Geometry,

University of Utah,

July 27-31, 2015.**Mono-anabelian Reconstruction of Number Fields**(Talk Slides),

On the verification and further development of inter-universal Teichmüller theory,

Kyoto,

March 9-20, 2015.**Mono-anabelian Reconstruction of Number Fields**(Talk Slides),

Colloquium at Kyoto University,

Kyoto,

July 9, 2014.**Survey on the Combinatorial Anabelian Geometry**,

Differential Topology Seminar at Kyoto University,

Kyoto,

July 8, 2014.**Reconstruction of a Number Field from the Absolute Galois Group**(Talk Slides), (Reconstruction of a Number Field from the Absolute Galois Group in Japanese),

Number Theory Workshop at Waseda University 18th,

Tokyo,

March 11-13, 2014.**Moderate Points of Hyperbolic Curves**,

Fundamental groups in arithmetic and algebraic geometry,

Ennio De Giorgi Mathematical Research Center,

December 16-20, 2013.**Grothendieck Conjecture for Hyperbolic Polycurves of Lower Dimension**,

Okayama Anabelful Days,

Okayama,

May 22-23, 2013.**Grothendieck-Teichmüller Groups in the Combinatorial Anabelian Geometry**,

Grothendieck-Teichmüller theory and Multiple Zeta Values,

Isaac Newton Institute for Mathematical Sciences in University of Cambridge,

April 8-12, 2013.**Conditional results on the birational section conjecture over small number fields**,

Galois covers and deformations,

Université de Bordeaux 1,

June 25-28, 2012.**On the Grothendieck conjecture for hyperbolic polycurves**,

Mini-workshop on arithmetic geometry and related topics,

Kyoto,

April 9-11, 2012.**On Grothendieck's Anabelian Section Conjecture**(On Grothendieck's Anabelian Section Conjecture in Japanese),

The 56th Algebra Symposium,

Okayama,

August 8-11, 2011.**On a problem of Matsumoto and Tamagawa concerning monodromic fullness of hyperbolic curves**,

Séminaire de Théorie des Nombres,

Université de Bordeaux 1,

June 24, 2011.**Galois-theoretic characterization of isomorphism classes of monodromically full hyperbolic curves of genus zero**,

Séminaire de théorie des nombres de l'IMJ,

Université de Paris 6,

June 20, 2011.**Survey on the combinatorial anabelian geometry of hyperbolic curves**(Talk Slides),

Development of Galois-Teichmüller theory and anabelian geometry,

Kyoto,

October 25-30, 2010.**Monodromic fullness in the anabelian geometry I**,

**Monodromic fullness in the anabelian geometry II**,

Arithmetic Geometry Workshop 2010,

Okinawa,

September 2-6, 2010.**Existence of nongeometric pro-p Galois sections of hyperbolic curves**,

PIA 2010: The arithmetic of fundamental groups,

MAThematics Center Heidelberg in University of Heidelberg,

February 8-12, 2010.**Existence of nongeometric pro-p Galois sections of hyperbolic curves**,

Séminaire d'Arithmétique et de Géométrie Algébrique,

Université Paris-Sud 11,

February 2, 2010.**Galois-theoretic characterization of isomorphism classes of monodromically full hyperbolic curves of genus zero**,

Sakura Workshop: Torsion of Abelian Schemes and Rational Points on Moduli Spaces,

Université de Bordeaux 1,

January 25-29, 2010.**On the combinatorial cuspidalizations and the faithfulness of the outer Galois representations of hyperbolic curves (joint work with Shinichi Mochizuki)**,

Anabelian Geometry,

Isaac Newton Institute for Mathematical Sciences in University of Cambridge,

August 24-28, 2009.**Cuspidalizations of fundamental groups of configuration spaces**,

Arithmetic Galois Theory and Related Moduli Spaces,

Kyoto,

October 23-27; 30-31, 2006.

**Anabelian geometry of algebraic number fields and mixed-characteristic local fields from an algorithmic point of view**(total 15 hours; Contents in Japanese),

2022 Special lectures on advanced topics in Mathematics A at Tokyo Institute of Technology,

Tokyo,

July 11-15, 2022.**Multiradial Representations and Log-volume Estimates**(Talk Slides),

Inter-universal Teichmüller Theory Summit 2021,

Kyoto,

September 7-10, 2021.**Mono-anabelian Transport in Inter-universal Teichmüller Theory**,

Promenade in Inter-universal Teichmüller Theory,

online,

March 25, 2021.**Familiar Mathematics • Unfamiliar Mathematics**,

Kyoto University High School Students Forum in TOKYO,

Tokyo,

October 26, 2019.**Mono-anabelian Reconstruction Algorithms Related to Mixed-characteristic Local Fields**(total 10 hours; Contents in Japanese),

Intensive lectures at the University of Tokyo,

Tokyo,

October 29-November 2, 2018.**Reconstruction of Addition of Rational Numbers from Multiplicative Data**,

Suuri no Tsubasa, Ikei Island Seminar 2018,

Okinawa,

August 23-27, 2018.**Symmetries of Lattice Point Sets and Imaginary Quadratic Numbers**,

Zeze high school mathematics lecture,

Shiga,

January 12, 2018.**Reconstruction Theorems Related to Four Arithmetic Operations of Rational/Complex Numbers**,

Yoshida Juku Lectures,

Kyoto,

December 18-21, 2017.**An introduction to algebraic/arithmetic geometry via projective lines**,

Yoshida Juku 15th,

Kyoto,

August 29-31, 2017.**〚IUTch-III-IV〛 from the point of view of mono-anabelian transport I**(Talk Slides),

**〚IUTch-III-IV〛 from the point of view of mono-anabelian transport II**(Talk Slides),

**〚IUTch-III-IV〛 from the point of view of mono-anabelian transport III**(Talk Slides),

**〚IUTch-III-IV〛 from the point of view of mono-anabelian transport IV**(Talk Slides),

Inter-universal Teichmüller Theory Summit 2016,

Kyoto,

July 18-27, 2016.**Introduction to Mono-anabelian Geometry**(total 4 hours; Contents),

Fundamental groups in arithmetic geometry - Paris 2016,

The Institut Henri Poincaré,

May 26-June 3, 2016.**An Approximate Statement of the Main Theorem of Inter-universal Teichmüller Theory**(Talk Slides),

**Mono-anabelian Transport**(Talk Slides),

**Hodge-Arakelov-theoretic Evaluation I**(Talk Slides),

**Hodge-Arakelov-theoretic Evaluation II**, (Talk Slides)

Workshop on IUT theory of Shinichi Mochizuki,

University of Oxford,

December 7-11, 2015.**Introduction to Inter-universal Teichmüller Theory I**(Talk Slides; Appendix),

**Introduction to Inter-universal Teichmüller Theory II**(Talk Slides),

**Introduction to Inter-universal Teichmüller Theory III**(Talk Slides),

Algebraic Number Theory and Related Topics 2015,

Kyoto,

November 30-December 4, 2015.**Introduction to Inter-universal Teichmüller Theory**,

Arithmetic geometry study group seminar,

Fukuoka,

June 25, 2015.**Reconstruction of Additive Structure from Multiplicative Information**(total 5 hours; Reconstruction of Additive Structure from Multiplicative Information in Japanese),

Extension lectures at Research Institute for Mathematical Sciences,

Kyoto,

August 4-8, 2014.**Anabelian Geometry for Function Fields over Kummer-faithful Fields**(total 7.5 hours; Contents in Japanese),

Intensive lectures at Hiroshima University,

Hiroshima,

June 23-27, 2014.**A Geometric Aspect of Number Fields Arising from Resemblance with Function Fields**(total 10.5 hours; Contents in Japanese),

Development of Mathematics - from basic to advanced B,

Kyoto,

October and November, 2013.**Anabelian Geometry for p-adic Local Fields**(total 7.5 hours; Contents in Japanese),

Intensive lectures at Tokyo Institute of Technology,

Tokyo,

June 24-28, 2013.**A Survey of Anabelian Geometry**(On a Grothendieck Conjecture-type Result for Topological Surfaces in Japanese),

Kinosaki Shinjin Seminar 10th,

Hyogo,

February 18-22, 2013.**Algebraic functions, Riemann surfaces, and modern algebraic geometry**,

A talk for a visit of Meiwa High School to Research Institute for Mathematical Sciences,

Kyoto,

July 20, 2012.**Classical Anabelian Geometry**,

**Grothendieck Conjecture over Local Fields — from “Relative” to “Absolute” —**,

Automorphic forms and Galois representations,

Durham University,

July 18-28, 2011.**On “cuspidalization” and “anabelioids”**,

Galois-theoretic Arithmetic Geometry,

Kyoto,

October 19-24, 2010.**Topics related to Gauss sums**(May 20, 2022),

**Topics related to Jacobi sums**(April 23, 2021),

**An introduction to some fundamental notions in number theory via quadratic fields**(June 5, 2020),

**Primitive Root Conjecture**(April 28, 2017),

**Lattices on the Plane and Arithmetic of Quadratic Fields**(July 3, 2015),

**Reconstruction of the Field of Complex Numbers from the Family of Squares/Rectangles**(April 25, 2014),

**Reconstruction of Addition of a Function Field from Its Multiplicative Structure**(May 17, 2013),

**Arithmetic geometry on covers of projective lines**(June 1, 2012),

**An introduction to algebraic/arithmetic geometry via projective lines**(May 20, 2011),

**Introduction to the anabelian geometry via the geometry of projective lines**(April 23, 2010),

Invitation to Modern Mathematics and Mathematical Sciences,

Kyoto.**On the anabelian geometry**,

Kinosaki Shinjin Seminar 6th,

Hyogo,

February 16-20, 2009.**Introduction to crystalline cohomology**(total 15 hours),

Research of geometry by l-adic and p-adic techniques,

Aichi,

August 23, 2007; September 6, 2007; September 27, 2007; October 17, 2007; November 7, 2007.