Basic Information

Affiliated programs (koza)

• Graduate School of Science, 数学・数理解析専攻 応用数理講座, 講師

Academic Degree

• 修士（理学）(京都大学)
• 博士（理学）(京都大学)

Academic Resume (Graduate Schools)

• 京都大学, 大学院理学研究科博士課程数学･数理解析専攻, 退学
• 京都大学, 大学院理学研究科修士課程数学・数理解析専攻, 修了

Academic Resume (Undergraduate School/Majors)

• 東京工業大学, 理学部数学科, 卒業

High School

• High School

  東京都立 江北高等学校

ID,URL

• J-Global ID

  201401087053610010

Website(s) (URL(s))

• http://www.kurims.kyoto-u.ac.jp/~yuichiro/index.html

researchmap URL

• https://researchmap.jp/7000008634

Research

Research Topics, Overview of the research

• Research Topics

  arithmetic geometry related to hyperbolic algebraic curves

• Overview of the research

  http://www.kurims.kyoto-u.ac.jp/en/list/hoshi.html

Research Areas

• Natural sciences, Algebra

Papers

• Homomorphisms of global solvably closed Galois groups compatible with cyclotomic characters

  Yuichiro Hoshi

  Tohoku Mathematical Journal, 01 Mar. 2025, Peer-reviewed, Lead author

  
• A Note on Schwarzian Derivatives and Sugiyama-Yasuda Locally Exact Differentials

  Yuichiro Hoshi

  Osaka Journal of Mathematics, Jul. 2024, Peer-reviewed, Lead author

  
• An upper bound on the generic degree of the generalized Verschiebung for rank two stable bundles

  Yuichiro Hoshi; Yasuhiro Wakabayashi

  Journal of Pure and Applied Algebra, Jun. 2024, Peer-reviewed

  
• On intrinsic Hodge-Tate-ness of Galois representations of dimension two

  Yuichiro Hoshi

  Kodai Mathematical Journal, 18 Mar. 2024, Peer-reviewed

  
• Galois-theoretic characterization of geometric isomorphism classes of quasi-monodromically full hyperbolic curves with small numerical invariants

  Yuichiro Hoshi; Yu Iijima

  Journal of Algebra, Nov. 2023

  
• 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

  
• Group-theoreticity of numerical invariants and distinguished subgroups of configuration space groups

  Yuichiro Hoshi; Arata Minamide; Shinichi Mochizuki

  Kodai Mathematical Journal, 30 Nov. 2022

  
• On the outer automorphism groups of the absolute Galois groups of mixed-characteristic local fields

  Yuichiro Hoshi; Yu Nishio

  Research in Number Theory, Sep. 2022, Peer-reviewed

  
• Explicit estimates in inter-universal Teichmüller theory

  Shinichi Mochizuki; Ivan Fesenko; Yuichiro Hoshi; Arata Minamide; Wojciech Porowski

  Kodai Mathematical Journal, 30 Jun. 2022, Peer-reviewed

  
• The absolute anabelian geometry of quasi-tripods

  Yuichiro Hoshi

  Kyoto Journal of Mathematics, 01 Apr. 2022, Peer-reviewed, Lead author

  
• Topics Surrounding the Combinatorial Anabelian Geometry of Hyperbolic Curves II

  Yuichiro Hoshi; Shinichi Mochizuki

  Lecture Notes in Mathematics, 2022, Peer-reviewed

  
• A Note on Torsion Points on Ample Divisors on Abelian Varieties

  Yuichiro Hoshi

  Mathematical Journal of Okayama University, Jan. 2022, Peer-reviewed, Lead author

  
• A note on the existence of Tango curves

  Yuichiro Hoshi

  Kodai Mathematical Journal, 18 Mar. 2021, Peer-reviewed, Lead author

  
• Pseudo-rigid p-torsion finite flat commutative group schemes

  Yuichiro Hoshi

  Journal of Number Theory, Dec. 2021, Peer-reviewed, Lead author

  
• On the Geometric Subgroups of the Étale Fundamental Groups of Varieties over Real Closed Fields

  Yuichiro Hoshi; Takahiro Murotani; Shota Tsujimura

  Mathematische Zeitschrift, Jun. 2021, Peer-reviewed

  
• A note on an anabelian open basis for a smooth variety

  Yuichiro Hoshi

  Tohoku Mathematical Journal, 01 Dec. 2020, Peer-reviewed, Lead author

  
• Reconstruction of profinite graphs from profinite groups of PIPSC-type

  Yuichiro HOSHI

  Hokkaido Mathematical Journal, 01 Oct. 2020, Peer-reviewed, Lead author

  
• Homotopy sequences for varieties over curves

  Yuichiro Hoshi

  Kobe Journal of Mathematics, 2020, Peer-reviewed, Lead author

  
• Frobenius-projective structures on curves in positive characteristic

  Yuichiro Hoshi

  Publications of the Research Institute for Mathematical Sciences, 2020, Peer-reviewed, Lead author

  
• Topics in the anabelian geometry of mixed-characteristic local fields

  Yuichiro Hoshi

  Hiroshima Mathematical Journal, Nov. 2019, Peer-reviewed, Lead author

  
• Mono-anabelian reconstruction of number fields

  Yuichiro Hoshi

  RIMS Kokyuroku Bessatsu, 2019, Peer-reviewed

  
• Introduction to inter-universal Teichmuller theory

  Yuichiro Hoshi

  RIMS Kokyuroku Bessatsu, 2019, Peer-reviewed

  
• A note on dormant opers of rank p-1 in characteristic p

  Yuichiro Hoshi

  Nagoya Mathematical Journal, 2019, Peer-reviewed

  
• HYPERBOLIC ORDINARINESS OF HYPERELLIPTIC CURVES OF LOWER GENUS IN CHARACTERISTIC THREE

  Yuichiro HOSHI

  Kyushu Journal of Mathematics, 2019, Peer-reviewed, Lead author

  
• On the supersingular divisors of nilpotent admissible indigenous bundles

  Yuichiro Hoshi

  Kodai Mathematical Journal, 2019, Peer-reviewed

  
• A pro-l version of the congruence subgroup problem for mapping class groups of genus one

  Yuichiro Hoshi; Yu Iijima

  Journal of Algebra, 2019, Peer-reviewed

  
• Introduction to inter-universal Teichmuller theory, Continued

  Yuichiro Hoshi

  RIMS Kokyuroku Bessatsu, 2018, Peer-reviewed

  
• On the pro-p absolute anabelian geometry of proper hyperbolic curves

  Yuichiro Hoshi

  Journal of Mathematical Sciences, The University of Tokyo, 2018, Peer-reviewed

  
• Two categorical characterizations of local fields

  Yuichiro Hoshi

  Hiroshima Mathematical Journal, 2018, Peer-reviewed

  
• The pro-l outer Galois actions associated to modular curves of prime power level

  Yuichiro Hoshi; Yu Iijima

  Journal de Theorie des Nombres de Bordeaux, 2018, Peer-reviewed

  
• THE GROTHENDIECK CONJECTURE FOR THE MODULI SPACES OF HYPERBOLIC CURVES OF GENUS ONE

  Yuichiro Hoshi; Ryo Kinoshita; Chikara Nakayama

  KODAI MATHEMATICAL JOURNAL, Oct. 2017, Peer-reviewed

  
• ON THE GROTHENDIECK CONJECTURE FOR AFFINE HYPERBOLIC CURVES OVER KUMMER-FAITHFUL FIELDS

  Yuichiro Hoshi

  KYUSHU JOURNAL OF MATHEMATICS, Mar. 2017, Peer-reviewed

  
• Categorical characterization of strict morphisms of fs log schemes

  Yuichiro Hoshi; Chikara Nakayama

  Mathematical Journal of Okayama University, 2017, Peer-reviewed

  
• On ramified torsion points on a curve with stable reduction over an absolutely unramified base

  Yuichiro Hoshi

  Osaka Journal of Mathematics, 2017, Peer-reviewed

  
• Finiteness of the Moderate Rational Points of Once-punctured Elliptic Curves

  Yuichiro Hoshi

  HOKKAIDO MATHEMATICAL JOURNAL, 2016, Peer-reviewed

  
• NILPOTENT ADMISSIBLE INDIGENOUS BUNDLES VIA CARTIER OPERATORS IN CHARACTERISTIC THREE

  Yuichiro Hoshi

  KODAI MATHEMATICAL JOURNAL, Oct. 2015, Peer-reviewed

  
• ON THE KERNELS OF THE PRO-I OUTER GALOIS REPRESENTATIONS ASSOCIATED TO HYPERBOLIC CURVES OVER NUMBER FIELDS

  Yuichiro Hoshi

  OSAKA JOURNAL OF MATHEMATICS, Jul. 2015, Peer-reviewed

  
• On the Field-theoreticity of Homomorphisms between the Multiplicative Groups of Number Fields

  Yuichiro Hoshi

  PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, Jun. 2014, Peer-reviewed

  
• The Grothendieck conjecture for hyperbolic polycurves of lower dimension

  Yuichiro Hoshi

  Journal of Mathematical Sciences, The University of Tokyo, 2014, Peer-reviewed

  
• Conditional results on the birational section conjecture over small number fields

  Yuichiro Hoshi

  AUTOMORPHIC FORMS AND GALOIS REPRESENTATIONS, VOL 2, 2014, Peer-reviewed, Invited

  
• A NOTE ON THE GEOMETRICITY OF OPEN HOMOMORPHISMS BETWEEN THE ABSOLUTE GALOIS GROUPS OF p-ADIC LOCAL FIELDS

  Yuichiro Hoshi

  KODAI MATHEMATICAL JOURNAL, Jun. 2013, Peer-reviewed

  Access this paper :

  
• ON A PROBLEM OF MATSUMOTO AND TAMAGAWA CONCERNING MONODROMIC FULLNESS OF HYPERBOLIC CURVES: GENUS ZERO CASE

  Yuichiro Hoshi

  TOHOKU MATHEMATICAL JOURNAL, Jun. 2013, Peer-reviewed

  
• On monodromically full points of configuration spaces of hyperbolic curves

  Yuichiro Hoshi

  The Arithmetic of Fundamental Groups: PIA 2010, 01 Jan. 2012, Peer-reviewed, Invited

  
• Corrigendum to “Tame-blind extension of morphisms of truncated Barsotti-Tate group schemes”

  Yuichiro Hoshi

  Journal of Mathematical Sciences, The University of Tokyo, 2012, Peer-reviewed

  
• Topics surrounding the combinatorial anabelian geometry of hyperbolic curves I: Inertia groups and profinite Dehn twists

  Yuichiro Hoshi; Shinichi Mochizuki

  GALOIS-TEICHMUELLER THEORY AND ARITHMETIC GEOMETRY, 2012, Peer-reviewed, Invited

  
• On the combinatorial anabelian geometry of nodally nondegenerate outer representations

  Yuichiro Hoshi; Shinichi Mochizuki

  HIROSHIMA MATHEMATICAL JOURNAL, Nov. 2011, Peer-reviewed

  
• GALOIS-THEORETIC CHARACTERIZATION OF ISOMORPHISM CLASSES OF MONODROMICALLY FULL HYPERBOLIC CURVES OF GENUS ZERO

  Yuichiro Hoshi

  NAGOYA MATHEMATICAL JOURNAL, Sep. 2011, Peer-reviewed

  Access this paper :

  
• Existence of Nongeometric Pro-p Galois Sections of Hyperbolic Curves

  Yuichiro Hoshi

  PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, Dec. 2010, Peer-reviewed

  
• On the injectivity portion of combinatorial cuspidalization

  Yuichiro Hoshi

  RIMS Kokyuroku Bessatsu, 2010, Peer-reviewed, Invited

  
• Absolute Anabelian Cuspidalizations of Configuration Spaces of Proper Hyperbolic Curves over Finite Fields

  Yuichiro Hoshi

  PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, Aug. 2009, Peer-reviewed

  
• The exactness of the log homotopy sequence

  Yuichiro Hoshi

  HIROSHIMA MATHEMATICAL JOURNAL, Mar. 2009, Peer-reviewed

  
• On the fundamental groups of log configuration schemes

  Hoshi Yuichiro

  Mathematical Journal of Okayama University, 2009, Peer-reviewed

  
• Tame-blind Extension of Morphisms of Truncated Barsotti-Tate Group Schemes

  Yuichiro Hoshi

  JOURNAL OF MATHEMATICAL SCIENCES-THE UNIVERSITY OF TOKYO, 2009, Peer-reviewed

  

Presentations

• On the Galois Orbit Version of Inter-universal Teichmuller Theory: a Progress Report

  Yuichiro Hoshi

  Recent Advances in Anabelian Geometry and Related Topic, 01 May 2025, Invited

  
• On Galois Sections of Hyperbolic Polycurves over Arithmetic Fields

  Yuichiro Hoshi

  Recent Advances in Anabelian Geometry and Related Topic, 29 Apr. 2025, Invited

  
• Progress on Section Conjecture

  Yuichiro Hoshi

  Workshop Arithmetic France-Japan 2025, 15 Apr. 2025, Invited

  
• Anabelian Geometry of Hyperbolic Curves

  Yuichiro Hoshi

  Workshop Arithmetic France-Japan 2025, 15 Apr. 2025, Invited

  
• On Galois Sections of Hyperbolic Polycurves over Arithmetic Fields II

  Yuichiro Hoshi

  Inter-universal Teichmuller Theory Summit 2025, 18 Mar. 2025

  
• On Galois Sections of Hyperbolic Polycurves over Arithmetic Fields I

  Yuichiro Hoshi

  Inter-universal Teichmuller Theory Summit 2025, 18 Mar. 2025

  
• Anabelian aspects of the Hodge-Tate-ness of Galois representations

  Yuichiro Hoshi

  Paris Arithmetic Homotopy Galois Theory Day 2024, 23 Sep. 2024, Invited

  
• On the Galois Orbit Version of Inter-universal Teichmuller Theory: a Progress Report II

  Yuichiro Hoshi

  The first IUGC conference, 04 Apr. 2024

  
• On the Galois Orbit Version of Inter-universal Teichmuller Theory: a Progress Report I

  Yuichiro Hoshi

  The first IUGC conference, 04 Apr. 2024

  
• On the Geometricity of Adelic Galois Sections of Hyperbolic Curves II

  Yuichiro Hoshi

  Anabelian Geometry in Tokyo, 12 Mar. 2024

  
• On the Geometricity of Adelic Galois Sections of Hyperbolic Curves I

  Yuichiro Hoshi

  Anabelian Geometry in Tokyo, 12 Mar. 2024, Invited

  
• Mono-anabelian Reconstruction of Solvably Closed Galois Extensions of Number Fields

  Yuichiro Hoshi

  The 19th Kagoshima Algebra-Analysis-Geometry Seminar, 13 Feb. 2024, Invited

  
• Glueability of combinatorial cuspidalizations II

  星 裕一郎

  第 29 回整数論サマースクール “組み合わせ論的遠アーベル幾何学”, Sep. 2022

  
• Glueability of combinatorial cuspidalizations I

  星 裕一郎

  第 29 回整数論サマースクール “組み合わせ論的遠アーベル幾何学”, Sep. 2022

  
• Synchronization of tripods II

  星 裕一郎

  第 29 回整数論サマースクール “組み合わせ論的遠アーベル幾何学”, Sep. 2022

  
• Synchronization of tripods I

  星 裕一郎

  第 29 回整数論サマースクール “組み合わせ論的遠アーベル幾何学”, Sep. 2022

  
• Partial combinatorial cuspidalization for F-admissible outomorphisms

  星 裕一郎

  第 29 回整数論サマースクール “組み合わせ論的遠アーベル幾何学”, Sep. 2022

  
• Combinatorial anabelian geometry in the absence of group-theoretic cuspidality

  星 裕一郎

  第 29 回整数論サマースクール “組み合わせ論的遠アーベル幾何学”, Sep. 2022

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

  Yuichiro Hoshi

  Inter-universal Teichmüller Theory Summit 2021, 09 Sep. 2021

  
• On the Galois Orbit Version of Inter-universal Teichmüller Theory I: a Progress Report

  Yuichiro Hoshi

  Inter-universal Teichmüller Theory Summit 2021, 09 Sep. 2021

  
• Multiradial Representations and Log-volume Estimates

  Yuichiro Hoshi

  Inter-universal Teichmüller Theory Summit 2021, 08 Sep. 2021

  
• Applications to the Theory of Tempered Fundamental Groups

  Yuichiro Hoshi

  Combinatorial Anabelian Geometry and Related Topics, 09 Jul. 2021

  
• Synchronization of Tripods and Glueability of Combinatorial Cuspidalizations

  Yuichiro Hoshi

  Combinatorial Anabelian Geometry and Related Topics, 07 Jul. 2021

  
• Combinatorial Anabelian Geometry in the Absence of Group-theoretic Cuspidality

  Yuichiro Hoshi

  Combinatorial Anabelian Geometry and Related Topics, 07 Jul. 2021

  
• A Combinatorial Anabelian Result for Stable Log Curves over Log Points

  Yuichiro Hoshi

  Combinatorial Anabelian Geometry and Related Topics, 05 Jul. 2021

  
• The Absolute Anabelian Geometry of Quasi-tripods

  Yuichiro Hoshi

  Foundations and Perspectives of Anabelian Geometry, 30 Jun. 2021, Invited

  
• Mono-anabelian Transport in Inter-universal Teichmuller Theory

  Yuichiro Hoshi

  Promenade in Inter-universal Teichmüller Theory, 25 Mar. 2021, Invited

  
• The Absolute Anabelian Geometry of Quasi-tripods

  Yuichiro Hoshi

  Homotopic and Geometric Galois Theory, 12 Mar. 2021, Invited

  
• An Anabelian Open Basis for a Smooth Variety

  Yuichiro Hoshi

  Fundamental groups: Geometry and Arithmetic, Aug. 2019, Invited

  
• Nilpotent indigenous bundles in characteristic three

  Yuichiro Hoshi

  Witt Vectors, Deformations, and Absolute Geometry, Jul. 2018, Invited

  
• An introduction to nilpotent ordinary indigenous bundles via modular curves

  Yuichiro Hoshi

  Witt Vectors, Deformations, and Absolute Geometry, Jul. 2018, Invited

  
• A pro-p group-theoretic criterion for good reduction of ordinary proper hyperbolic curves

  Yuichiro Hoshi

  The 7th East Asia Number Theory Conference, Feb. 2018, Invited

  
• A simple purely group-theoretic characterization of the Grothendieck-Teichmüller group

  Yuichiro Hoshi

  Nilpotent Fundamental Groups, Jun. 2017, Invited

  
• A pro-p group-theoretic criterion for good reduction of ordinary proper hyperbolic curves

  Yuichiro Hoshi

  2017 East Asian Core Doctorial Forum on Mathematics, Jan. 2017, Invited

  
• 〚IUTch-III-IV〛 from the point of view of mono-anabelian transport IV

  Yuichiro Hoshi

  Inter-universal Teichmüller Theory Summit 2016, Jul. 2016, Invited

  
• 〚IUTch-III-IV〛 from the point of view of mono-anabelian transport III

  Yuichiro Hoshi

  Inter-universal Teichmüller Theory Summit 2016, Jul. 2016, Invited

  
• 〚IUTch-III-IV〛 from the point of view of mono-anabelian transport II

  Yuichiro Hoshi

  Inter-universal Teichmüller Theory Summit 2016, Jul. 2016, Invited

  
• 〚IUTch-III-IV〛 from the point of view of mono-anabelian transport I

  Yuichiro Hoshi

  Inter-universal Teichmüller Theory Summit 2016, Jul. 2016, Invited

  
• Introduction to Mono-anabelian Geometry II

  Yuichiro Hoshi

  Fundamental groups in arithmetic geometry - Paris 2016, Jun. 2016, Invited

  
• Introduction to Mono-anabelian Geometry I

  Yuichiro Hoshi

  Fundamental groups in arithmetic geometry - Paris 2016, May 2016, Invited

  
• Hodge-Arakelov-theoretic Evaluation II

  Yuichiro Hoshi

  Workshop on IUT theory of Shinichi Mochizuki, Dec. 2015, Invited

  
• Hodge-Arakelov-theoretic Evaluation I

  Yuichiro Hoshi

  Workshop on IUT theory of Shinichi Mochizuki, Dec. 2015, Invited

  
• Mono-anabelian Transport

  Yuichiro Hoshi

  Workshop on IUT theory of Shinichi Mochizuki, Dec. 2015, Invited

  
• Introduction to Inter-universal Teichmüller Theory III

  Yuichiro Hoshi

  Algebraic Number Theory and Related Topics 2015, Dec. 2015, Invited

  
• Introduction to Inter-universal Teichmüller Theory II

  Yuichiro Hoshi

  Algebraic Number Theory and Related Topics 2015, Dec. 2015, Invited

  
• An Approximate Statement of the Main Theorem of Inter-universal Teichmüller Theory

  Yuichiro Hoshi

  Workshop on IUT theory of Shinichi Mochizuki, Dec. 2015, Invited

  
• Introduction to Inter-universal Teichmüller Theory I

  Yuichiro Hoshi

  Algebraic Number Theory and Related Topics 2015, Dec. 2015, Invited

  
• Classical p-adic Teichmüller theory in characteristic three

  Yuichiro Hoshi

  AMS Summer Institute in Algebraic Geometry, Jul. 2015, Invited

  
• Mono-anabelian Reconstruction of Number Fields

  Yuichiro Hoshi

  On the verification and further development of inter-universal Teichmüller theory, Mar. 2015, Invited

  
• Reconstruction of a Number Field from the Absolute Galois Group

  Yuichiro Hoshi

  Number Theory Workshop at Waseda University 18th, Mar. 2014, Invited

  
• Moderate Points of Hyperbolic Curves

  Yuichiro Hoshi

  Fundamental groups in arithmetic and algebraic geometry, Dec. 2013, Invited

  
• Grothendieck-Teichmüller Groups in the Combinatorial Anabelian Geometry

  Yuichiro Hoshi

  Grothendieck-Teichmüller theory and Multiple Zeta Values, Apr. 2013, Invited

  
• Conditional results on the birational section conjecture over small number fields

  Yuichiro Hoshi

  Galois covers and deformations, Jun. 2012, Invited

  
• On the Grothendieck conjecture for hyperbolic polycurves

  Yuichiro Hoshi

  Mini-workshop on arithmetic geometry and related topics, Apr. 2012, Invited

  
• On Grothendieck's Anabelian Section Conjecture

  Yuichiro Hoshi

  The 56th Algebra Symposium, Aug. 2011, Invited

  
• Grothendieck Conjecture over Local Fields---from “Relative” to “Absolute”---

  Yuichiro Hoshi

  Automorphic forms and Galois representations, Jul. 2011, Invited

  
• Classical Anabelian Geometry

  Yuichiro Hoshi

  Automorphic forms and Galois representations, Jul. 2011, Invited

  
• Survey on the combinatorial anabelian geometry of hyperbolic curves

  Yuichiro Hoshi

  Development of Galois-Teichmüller theory and anabelian geometry, Oct. 2010, Invited

  
• Existence of nongeometric pro-p Galois sections of hyperbolic curves

  Yuichiro Hoshi

  PIA 2010: The arithmetic of fundamental groups, Feb. 2010, Invited

  
• Galois-theoretic characterization of isomorphism classes of monodromically full hyperbolic curves of genus zero

  Yuichiro Hoshi

  Sakura Workshop: Torsion of Abelian Schemes and Rational Points on Moduli Spaces, Jan. 2010, Invited

  
• On the combinatorial cuspidalizations and the faithfulness of the outer Galois representations of hyperbolic curves (joint work with Shinichi Mochizuki)

  Yuichiro Hoshi

  Anabelian Geometry, Aug. 2009, Invited

  
• Cuspidalizations of fundamental groups of configuration spaces

  Yuichiro Hoshi

  Arithmetic Galois Theory and Related Moduli Spaces, Oct. 2006, Invited

  

Books and Other Publications

• Topics surrounding the combinatorial anabelian geometry of hyperbolic curves II : tripods and combinatorial cuspidalization

  Yuichiro Hoshi; Shinichi Mochizuki, Joint work

  Springer, 2022

  Find Kyoto University's collection of books :

  

Awards

• 02 Apr. 2024

  Inter-universal Geometry Center, the 1st IUT Innovator Prize

  Explicit estimates in inter-universal Teichmuller theory, Japan, International academic award

  Shinichi Mochizuki, Ivan Fesenko, Yuichiro Hoshi, Arata Minamide, Wojciech Porowski
• 03 Feb. 2012

  公益財団法人 井上科学振興財団, Inoue Research Award for Young Scientists

External funds: Kakenhi

• Intrinsicity associated to anabelian objects

  Grant-in-Aid for Scientific Research (C)

  Basic Section 11010:Algebra-related

  Kyoto University

  Yuichiro Hoshi

  From 01 Apr. 2021, To 31 Mar. 2024, Project Closed

  遠アーベル幾何学;双曲的代数曲線;p進タイヒミュラー理論;可解閉ガロア拡大;内在的ホッジ・テイト性;モノドロミー充満;三点基次数;正準持ち上げ;正準フロベニウス持ち上げ;遠アーベル予想;数体;p進ガロア表現;安定還元;四点基;単アーベル的構成アルゴリズム;ガロアセクション;準モノドロミー充満;安定束;ヤコビ和;遠アーベル的内在性;単遠アーベル的構成アルゴリズム;代数的基本群

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-21K03162/
• Arithmetic geometry related to the rigidity of hyperbolic algebraic curves

  Grant-in-Aid for Scientific Research (C)

  Basic Section 11010:Algebra-related

  Kyoto University

  Yuichiro Hoshi

  From 01 Apr. 2018, To 31 Mar. 2021, Project Closed

  双曲的代数曲線;遠アーベル幾何学;p進タイヒミュラー理論;宇宙際タイヒミュラー理論;丹後構造;固有束;双曲的亜曲線;混標数局所体;準三点基;絶対版遠アーベル開基;単遠アーベル的復元アルゴリズム;等分点;ハッセ・ヴィット不変量;可積分接続;超特別還元;多重双曲的曲線;狭義単調減少型多重双曲的曲線;遠アーベル開基;組み合わせ論的遠アーベル幾何学;p進Teichmuller理論;双曲的通常性;剛性

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-18K03239/
• Arithmetic of hyperbolic algebraic curves related to arithmetic fundamental groups

  Grant-in-Aid for Scientific Research (C)

  Kyoto University

  Yuichiro Hoshi

  From 01 Apr. 2015, To 31 Mar. 2018, Project Closed

  双曲的代数曲線;数論的基本群;遠アーベル幾何学;p進Teichmuller理論;休眠乍;等分点;巾零通常固有束;射影構造;単遠アーベル的復元アルゴリズム;超特異因子;Frobenius的射影構造;圏論的特徴付け;副p絶対遠アーベル幾何学;遠アーベル予想;組み合わせ論的遠アーベル幾何学;GT群;単遠アーベル幾何学;Grothendieck予想;双曲的多重曲線;当分点;有限平坦可換群スキーム;対数スキーム;狭義射

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-15K04780/
• Relationship between the geometric properties of hyperbolic algebraic curves and the group-theoretic properties of the arithmetic fundamental groups of curves

  Grant-in-Aid for Scientific Research (C)

  Kyoto University

  Yuichiro HOSHI

  From 01 Apr. 2012, To 31 Mar. 2015, Project Closed

  遠アーベル幾何学;組み合わせ論的遠アーベル幾何学;多重双曲的曲線;Hodge-Tate性;穏やかな点;合同部分群問題;p進Teichmuller理論;単遠アーベル幾何学;Hodge-Tate保存性;組み合わせ論的セクション予想;サイクルの標準持ち上げ;双曲的代数曲線;写像類群;三点基;組み合わせ論的カスプ化;テンパード基本群;グロタンディーク予想;ホッジ・テイト保存性

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-24540016/
• New developments in number theoretic geometry, topology, and algorithm

  Grant-in-Aid for Scientific Research (A)

  Hiroshima University;The University of Tokyo

  Makoto Matsumoto

  From 01 Apr. 2011, To 31 Mar. 2016, Project Closed

  数論幾何;トポロジー;アルゴリズム;数論的基本群;モジュライ;国際研究者交流（アメリカ）;国際情報交換（オーストラリア）;国際情報交換（アメリカ）;国際研究者交流（アメリカ、オーストラリア）;国際研究者交流（オーストラリア）

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23244002/
• Arithmetic and Combinatorial Study of Anabelian Geometry

  Grant-in-Aid for Young Scientists (B)

  Kyoto University

  Yuichiro HOSHI

  From 01 Apr. 2010, To 31 Mar. 2012, Project Closed

  双曲的曲線;数論的基本群;配置空間群;組み合わせ論的遠アーベル幾何学;副有限デーン捻り;モノドロミー充満;セクション予想;双有理セクション予想;双曲線曲線;遠アーベル幾何学;例外点;高次円単数;Fermat型方程式;Galois切断;配置空間;同期化;副有限Dehn捻り;Grothendieck予想

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-22740012/
• Arithmetic and Moduli Spaces around Galois-Teichmueller tower

  Grant-in-Aid for Scientific Research (B)

  Osaka University;Okayama University

  Hiroaki NAKAMURA

  From 01 Apr. 2009, To 31 Mar. 2014, Project Closed

  数論幾何学;モジュライ空間;基本群;遠アーベル幾何;代数学;国際研究者交流;整数論;モノドロミー表現;デデキント和;写像類群;ガロア・タイヒミュラー理論;組みひも群;Eisenstein級数

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-21340009/
• Research of arithmetic fundamental groups of hyperbolic curves

  Grant-in-Aid for Young Scientists (B)

  Kyoto University

  Yuichiro HOSHI

  From 01 Apr. 2008, To 31 Mar. 2010, Project Closed

  遠アーベル幾何;数論的基本群;双曲的曲線;配置空間;外Galois表現;組み合わせ論的カスプ化;モノドロミー充満;Galois切断;副p切断予想;tame-blind;truncated Barsotti-Tate群;組み合わせ論版Grothendieck予想

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-20740010/
• 双曲的代数曲線の遠アーベル的内在性の研究

  Grant-in-Aid for Scientific Research (C)

  Basic Section 11010:Algebra-related

  Kyoto University

  星 裕一郎

  From 01 Apr. 2024, To 31 Mar. 2027, Granted

  遠アーベル的内在性;双曲的代数曲線;単遠アーベル的構成アルゴリズム;遠アーベル幾何学;代数的基本群

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-24K06668/

External funds: others

• p進Teichmuller理論に関わる双曲的代数曲線の数論の研究

  公益財団法人稲盛財団, 稲盛財団研究助成

  From 01 Apr. 2016, To 31 Mar. 2017

  Yuichiro Hoshi

  研究代表者

Education

Teaching subject(s)

• From 01 Apr. 2025, To 31 Mar. 2026

  Seminar on Arithmetic Geometry a

  1285, Spring, Graduate School of Science, 3
• From 01 Apr. 2025, To 31 Mar. 2026

  Seminar on Arithmetic Geometry d

  1288, Fall, Graduate School of Science, 3
• From 01 Apr. 2025, To 31 Mar. 2026

  Seminar on Arithmetic Geometry c

  1287, Spring, Graduate School of Science, 3
• From 01 Apr. 2025, To 31 Mar. 2026

  Seminar on Arithmetic Geometry b

  1286, Fall, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Invitation to Modern Mathematics and Mathematical Sciences

  N114, Spring, Institute for Liberal Arts and Sciences, 2
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Arithmetic Geometry c

  1287, Spring, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Arithmetic Geometry b

  1286, Fall, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Arithmetic Geometry a

  1285, Spring, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Arithmetic Geometry d

  1288, Fall, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Special study course (Mathematical Science)

  5140, Year-long, Faculty of Science, 12
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Arithmetic Geometry c

  1287, Spring, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Arithmetic Geometry b

  1286, Fall, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Arithmetic Geometry a

  1285, Spring, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Arithmetic Geometry d

  1288, Fall, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Invitation to Modern Mathematics and Mathematical Sciences

  N114, Spring, Institute for Liberal Arts and Sciences, 2
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Arithmetic Geometry a

  1285, Spring, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Arithmetic Geometry b

  1286, Fall, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Arithmetic Geometry d

  1288, Fall, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Arithmetic Geometry c

  1287, Spring, Graduate School of Science, 3
• From Apr. 2011, To Mar. 2012

  Invitation to Modern Mathematics and Mathematical Sciences

  Spring, 全学共通科目
• From Apr. 2012, To Mar. 2013

  Invitation to Modern Mathematics and Mathematical Sciences

  Spring, 全学共通科目
• From Apr. 2013, To Mar. 2014

  Development of Mathematics - from basic to advanced B

  Fall, 理学部
• From Apr. 2013, To Mar. 2014

  Invitation to Modern Mathematics and Mathematical Sciences

  Spring, 全学共通科目
• From Apr. 2014, To Mar. 2015

  Seminar on Arithmetic Geometry A

  Spring, 理学研究科
• From Apr. 2014, To Mar. 2015

  Seminar on Arithmetic Geometry B

  Fall, 理学研究科
• From Apr. 2014, To Mar. 2015

  Seminar on Arithmetic Geometry C

  Spring, 理学研究科
• From Apr. 2014, To Mar. 2015

  Seminar on Arithmetic Geometry D

  Fall, 理学研究科
• From Apr. 2014, To Mar. 2015

  Invitation to Modern Mathematics and Mathematical Sciences

  Spring, 全学共通科目
• From Apr. 2015, To Mar. 2016

  Seminar on Arithmetic Geometry A

  Spring, 理学研究科
• From Apr. 2015, To Mar. 2016

  Seminar on Arithmetic Geometry B

  Fall, 理学研究科
• From Apr. 2015, To Mar. 2016

  Seminar on Arithmetic Geometry C

  Spring, 理学研究科
• From Apr. 2015, To Mar. 2016

  Seminar on Arithmetic Geometry D

  Fall, 理学研究科
• From Apr. 2015, To Mar. 2016

  Invitation to Modern Mathematics and Mathematical Sciences

  Spring, 全学共通科目
• From Apr. 2016, To Mar. 2017

  Seminar on Arithmetic Geometry A

  Spring, 理学研究科
• From Apr. 2016, To Mar. 2017

  Seminar on Arithmetic Geometry B

  Fall, 理学研究科
• From Apr. 2016, To Mar. 2017

  Seminar on Arithmetic Geometry C

  Spring, 理学研究科
• From Apr. 2016, To Mar. 2017

  Seminar on Arithmetic Geometry D

  Fall, 理学研究科
• From Apr. 2017, To Mar. 2018

  Seminar on Arithmetic Geometry A

  Spring, 理学研究科
• From Apr. 2017, To Mar. 2018

  Seminar on Arithmetic Geometry B

  Fall, 理学研究科
• From Apr. 2017, To Mar. 2018

  Seminar on Arithmetic Geometry C

  Spring, 理学研究科
• From Apr. 2017, To Mar. 2018

  Seminar on Arithmetic Geometry D

  Fall, 理学研究科
• From Apr. 2017, To Mar. 2018

  Invitation to Modern Mathematics and Mathematical Sciences

  Spring, 全学共通科目
• From Apr. 2018, To Mar. 2019

  Seminar on Arithmetic Geometry a

  Spring, 理学研究科
• From Apr. 2018, To Mar. 2019

  Seminar on Arithmetic Geometry b

  Fall, 理学研究科
• From Apr. 2018, To Mar. 2019

  Seminar on Arithmetic Geometry c

  Spring, 理学研究科
• From Apr. 2018, To Mar. 2019

  Seminar on Arithmetic Geometry d

  Fall, 理学研究科
• From Apr. 2018, To Mar. 2019

  Invitation to Modern Mathematics and Mathematical Sciences

  Spring, 全学共通科目
• From Apr. 2019, To Mar. 2020

  Seminar on Arithmetic Geometry a

  Spring, 理学研究科
• From Apr. 2019, To Mar. 2020

  Seminar on Arithmetic Geometry b

  Fall, 理学研究科
• From Apr. 2019, To Mar. 2020

  Seminar on Arithmetic Geometry c

  Spring, 理学研究科
• From Apr. 2019, To Mar. 2020

  Seminar on Arithmetic Geometry d

  Fall, 理学研究科
• From Apr. 2019, To Mar. 2020

  Invitation to Modern Mathematics and Mathematical Sciences

  Spring, 全学共通科目
• From Apr. 2020, To Mar. 2021

  Seminar on Arithmetic Geometry a

  Spring, 理学研究科
• From Apr. 2020, To Mar. 2021

  Seminar on Arithmetic Geometry b

  Fall, 理学研究科
• From Apr. 2020, To Mar. 2021

  Seminar on Arithmetic Geometry c

  Spring, 理学研究科
• From Apr. 2020, To Mar. 2021

  Seminar on Arithmetic Geometry d

  Fall, 理学研究科
• From Apr. 2020, To Mar. 2021

  Invitation to Modern Mathematics and Mathematical Sciences - Basic concepts and their role in various sciences

  Spring, 全学共通科目
• From Apr. 2021, To Mar. 2022

  Seminar on Arithmetic Geometry a

  Spring, 理学研究科
• From Apr. 2021, To Mar. 2022

  Seminar on Arithmetic Geometry b

  Fall, 理学研究科
• From Apr. 2021, To Mar. 2022

  Seminar on Arithmetic Geometry c

  Spring, 理学研究科
• From Apr. 2021, To Mar. 2022

  Seminar on Arithmetic Geometry d

  Fall, 理学研究科
• From Apr. 2021, To Mar. 2022

  Invitation to Modern Mathematics and Mathematical Sciences - Basic concepts and their role in various sciences

  Spring, 全学共通科目

Participation in PhD Defense

• Category-theoretic Reconstruction of Log Schemes from Categories of Reduced fs Log Schemes

  YUJI TOMOKI, Graduate School of Science, Sub-chief Examiner

  25 Mar. 2024
• The semi-absolute anabelian geometry of geometrically pro-p arithmetic fundamental groups of associated low-dimensional configuration spaces （付随する低次元配置空間の副p幾何的数論的基本群の半絶対遠アーベル幾何学）

  東山　和巳

  25 Mar. 2019
• Combinatorial Belyi Cuspidalization and Arithmetic Subquotients of the Grothendieck-Teichm■ller Group(組み合わせ論的ベリー・カスプ化とグロタンディーク・タイヒミューラー群の数論的部分商)

  辻村　昇太, Sub-chief Examiner

  23 Mar. 2020

Participation in PhD Defenses (other than KU)

• The m-step solvable mono-anabelian geometry of number fields

  Yu Mao, The University of Exeter, United Kingdom of Great Britain and Northern Ireland, Chief Examiner

  17 Mar. 2025