望月 新一

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Name(Kanji/Kana/Abecedarium Latinum)
望月 新一/モチヅキ シンイチ/Mochizuki, Shinichi
Primary Affiliation(Org1/Job title)
Research Institute for Mathematical Sciences (RIMS)/Professor
Affiliated programs (koza)
Org1 Job title
Graduate Schools Science Professor
Contact Address
Type Address(Japanese) Address(English)
Office
Phone
Type Number
Office
Academic Organizations You are Affiliated to in Japan
Organization name(Japanese) Organization name(English)
日本数学会 The Mathematical Society of Japan
Academic Degree
Field(Japanese) Field(English) University(Japanese) University(English) Method
Ph.D プリンストン大学
Language of Instruction
Language(japanese) Language(english) Code
英語
Personal Website(s) (URL(s))
URL
http://www.kurims.kyoto-u.ac.jp/~motizuki/top-japanese.html
researchmap URL
https://researchmap.jp/7000008539
Research Topics
(Japanese)
双曲的曲線の数論幾何
(English)
The arithmetic geometry of hyperbolic curves
Overview of the research
(Japanese)
 1990年代の望月の研究の殆どは,    (a) p進タイヒミューラー理論    (b) p進遠アーベル幾何    (c) 楕円曲線のホッジ・アラケロフ理論 という三つの大きなテーマに分類することができるが,2000年以降の研究では,    (d) 絶対p進遠アーベル幾何と    (e) 組合せ論的遠アーベル幾何 を中心に,上の三つのテーマの「相互作用」や「融合」に関心の対象が移った。
(English)
Shinichi Mochizuki's main research interest is the arithmetic of hyperbolic curves. During the early and mid-1990's, his research centered upon the $p$-adic anabelian geometry and $p$-adic Teichmuller theory of hyperbolic curves. Since the late 1990's, however, he has also been concerned with developing a global arithmetic version of Teichmuller theory for pairs consisting of a number field equipped with an elliptic curve and understanding the numerous interesting connections between this theory and the absolute and combinatorial anabelian geometry of hyperbolic curves.
Fields of research (key words)
Key words(Japanese) Key words(English)
数論幾何学、整数論、ガロア理論、遠アーベル幾何学 arithmetic geometry, number theory, Galois theory, anabelian geometry
Published Papers
Author Author(Japanese) Author(English) Title Title(Japanese) Title(English) Bibliography Bibliography(Japanese) Bibliography(English) Publication date Refereed paper Language Publishing type Disclose
Shinichi Mochizuki 望月 新一 Shinichi Mochizuki Group-theoreticity of numerical invariants and distinguished subgroups of configuration space groups Group-theoreticity of numerical invariants and distinguished subgroups of configuration space groups Group-theoreticity of numerical invariants and distinguished subgroups of configuration space groups RIMS Preprint 1870 (March 2017) RIMS Preprint 1870 (March 2017) RIMS Preprint 1870 (March 2017) 2017/03 Disclose to all
Shinichi Mochizuki 望月 新一 Shinichi Mochizuki The Mathematics of Mutually Alien Copies: from Gaussian Integrals to Inter-universal Teichmuller Theory The Mathematics of Mutually Alien Copies: from Gaussian Integrals to Inter-universal Teichmuller Theory The Mathematics of Mutually Alien Copies: from Gaussian Integrals to Inter-universal Teichmuller Theory RIMS Preprint 1854 (July 2016) RIMS Preprint 1854 (July 2016) RIMS Preprint 1854 (July 2016) 2016/07 Disclose to all
S. Mochizuki S. Mochizuki S. Mochizuki Bogomolov's Proof of the Geometric Version of the Szpiro Conjecture from the Point of View of Inter-universal Teichm\"uller Theory Bogomolov's Proof of the Geometric Version of the Szpiro Conjecture from the Point of View of Inter-universal Teichm\"uller Theory Bogomolov's Proof of the Geometric Version of the Szpiro Conjecture from the Point of View of Inter-universal Teichm\"uller Theory Res. Math. Sci., 3, 3:6 Res. Math. Sci., 3, 3:6 Res. Math. Sci., 3, 3:6 2016 Refereed English Disclose to all
S. Mochizuki S. Mochizuki S. Mochizuki Topics in Absolute Anabelian Geometry III: Global Reconstruction Algorithms Topics in Absolute Anabelian Geometry III: Global Reconstruction Algorithms Topics in Absolute Anabelian Geometry III: Global Reconstruction Algorithms J. Math. Sci. Univ. Tokyo, 22, 939-1156 J. Math. Sci. Univ. Tokyo, 22, 939-1156 J. Math. Sci. Univ. Tokyo, 22, 939-1156 2015 Refereed English Disclose to all
S. Mochizuki S. Mochizuki S. Mochizuki Monomorphisms in Categories of Log Schemes Monomorphisms in Categories of Log Schemes Monomorphisms in Categories of Log Schemes Kodai Math. J., 38, 365-429 Kodai Math. J., 38, 365-429 Kodai Math. J., 38, 365-429 2015 Refereed English Disclose to all
S. Mochizuki S. Mochizuki S. Mochizuki A Panoramic Overview of Inter-universal Teichm\"uller Theory. Algebraic number theory and related topics 2012 A Panoramic Overview of Inter-universal Teichm\"uller Theory. Algebraic number theory and related topics 2012 A Panoramic Overview of Inter-universal Teichm\"uller Theory. Algebraic number theory and related topics 2012 RIMS K\=oky\=uroku Bessatsu B51 Res. Inst. Math. Sci. (RIMS), Kyoto, 301-345 RIMS K\=oky\=uroku Bessatsu B51 Res. Inst. Math. Sci. (RIMS), Kyoto, 301-345 RIMS K\=oky\=uroku Bessatsu B51 Res. Inst. Math. Sci. (RIMS), Kyoto, 301-345 2014 Refereed English Disclose to all
Y. Hoshi; S. Mochizuki Y. Hoshi; S. Mochizuki Y. Hoshi; S. Mochizuki Topics Surrounding the Combinatorial Anabelian Geometry of Hyperbolic Curves IV: Discreteness and Sections Topics Surrounding the Combinatorial Anabelian Geometry of Hyperbolic Curves IV: Discreteness and Sections Topics Surrounding the Combinatorial Anabelian Geometry of Hyperbolic Curves IV: Discreteness and Sections RIMS Preprint 1788 (September 2013) RIMS Preprint 1788 (September 2013) RIMS Preprint 1788 (September 2013) 2013/09 English Disclose to all
S. Mochizuki S. Mochizuki S. Mochizuki Topics in Absolute Anabelian Geometry II: Decomposition Groups and Endomorphisms Topics in Absolute Anabelian Geometry II: Decomposition Groups and Endomorphisms Topics in Absolute Anabelian Geometry II: Decomposition Groups and Endomorphisms J. Math. Sci. Univ. Tokyo, 20, 171-269 J. Math. Sci. Univ. Tokyo, 20, 171-269 J. Math. Sci. Univ. Tokyo, 20, 171-269 2013 Refereed English Disclose to all
S. Mochizuki S. Mochizuki S. Mochizuki Topics in Absolute Anabelian Geometry I: Generalities Topics in Absolute Anabelian Geometry I: Generalities Topics in Absolute Anabelian Geometry I: Generalities J. Math. Sci. Univ. Tokyo, 19, 139-242 J. Math. Sci. Univ. Tokyo, 19, 139-242 J. Math. Sci. Univ. Tokyo, 19, 139-242 2012 Refereed English Disclose to all
望月新一 望月新一 望月新一 数体と位相曲面に共通する「二次元の群論的幾何」(2012年8月の公開講座). 数体と位相曲面に共通する「二次元の群論的幾何」(2012年8月の公開講座). 数体と位相曲面に共通する「二次元の群論的幾何」(2012年8月の公開講座). 2012 Japanese Disclose to all
S. Mochizuki S. Mochizuki S. Mochizuki Inter-universal Teichm\"uller Theory IV: Log-volume Computations and Set-theoretic Foundations Inter-universal Teichm\"uller Theory IV: Log-volume Computations and Set-theoretic Foundations Inter-universal Teichm\"uller Theory IV: Log-volume Computations and Set-theoretic Foundations RIMS Preprint 1759 (August 2012) RIMS Preprint 1759 (August 2012) RIMS Preprint 1759 (August 2012) 2012 English Disclose to all
S. Mochizuki S. Mochizuki S. Mochizuki Inter-universal Teichm\"uller Theory III: Canonical Splittings of the Log-theta-lattice Inter-universal Teichm\"uller Theory III: Canonical Splittings of the Log-theta-lattice Inter-universal Teichm\"uller Theory III: Canonical Splittings of the Log-theta-lattice RIMS Preprint 1758 (August 2012) RIMS Preprint 1758 (August 2012) RIMS Preprint 1758 (August 2012) 2012 English Disclose to all
S. Mochizuki S. Mochizuki S. Mochizuki Inter-universal Teichm\"uller Theory II: Hodge-Arakelov-theoretic Evaluation Inter-universal Teichm\"uller Theory II: Hodge-Arakelov-theoretic Evaluation Inter-universal Teichm\"uller Theory II: Hodge-Arakelov-theoretic Evaluation RIMS Preprint1757 (August 2012) RIMS Preprint1757 (August 2012) RIMS Preprint1757 (August 2012) 2012 English Disclose to all
S. Mochizuki S. Mochizuki S. Mochizuki Inter-universal Teichm\"uller Theory I: Construction of Hodge Theaters Inter-universal Teichm\"uller Theory I: Construction of Hodge Theaters Inter-universal Teichm\"uller Theory I: Construction of Hodge Theaters RIMS Preprint 1756 (August 2012) RIMS Preprint 1756 (August 2012) RIMS Preprint 1756 (August 2012) 2012 English Disclose to all
Y. Hoshi; S. Mochizuki Y. Hoshi; S. Mochizuki Y. Hoshi; S. Mochizuki Topics Surrounding the Combinatorial Anabelian Geometry of Hyperbolic Curves III: Tripods and Tempered Fundamental Groups Topics Surrounding the Combinatorial Anabelian Geometry of Hyperbolic Curves III: Tripods and Tempered Fundamental Groups Topics Surrounding the Combinatorial Anabelian Geometry of Hyperbolic Curves III: Tripods and Tempered Fundamental Groups RIMS Preprint 1763 (November 2012) RIMS Preprint 1763 (November 2012) RIMS Preprint 1763 (November 2012) 2012 English Disclose to all
Y. Hoshi; S. Mochizuki Y. Hoshi; S. Mochizuki Y. Hoshi; S. Mochizuki Topics Surrounding the Combinatorial Anabelian Geometry of Hyperbolic Curves II: Tripods and Combinatorial Cuspidalization Topics Surrounding the Combinatorial Anabelian Geometry of Hyperbolic Curves II: Tripods and Combinatorial Cuspidalization Topics Surrounding the Combinatorial Anabelian Geometry of Hyperbolic Curves II: Tripods and Combinatorial Cuspidalization RIMS Preprint 1762 (November 2012) RIMS Preprint 1762 (November 2012) RIMS Preprint 1762 (November 2012) 2012 English Disclose to all
Y. Hoshi ; S. Mochizuki Y. Hoshi ; S. Mochizuki Y. Hoshi ; S. Mochizuki Topics surrounding the combinatorial anabelian geometry of hyperbolic curves I: Inertia groups and profinite Dehn twists Topics surrounding the combinatorial anabelian geometry of hyperbolic curves I: Inertia groups and profinite Dehn twists Topics surrounding the combinatorial anabelian geometry of hyperbolic curves I: Inertia groups and profinite Dehn twists Galois-Teichm\"uller Theory and Arithmetic Geometry, Adv. Stud. Pure Math. 63, Math. Soc. Japan, 659-811 Galois-Teichm\"uller Theory and Arithmetic Geometry, Adv. Stud. Pure Math. 63, Math. Soc. Japan, 659-811 Galois-Teichm\"uller Theory and Arithmetic Geometry, Adv. Stud. Pure Math. 63, Math. Soc. Japan, 659-811 2012 Refereed English Disclose to all
Y. Hoshi; S. Mochizuki Y. Hoshi; S. Mochizuki Y. Hoshi; S. Mochizuki On the Combinatorial Anabelian Geometry of Nodally Nondegenerate Outer Representations On the Combinatorial Anabelian Geometry of Nodally Nondegenerate Outer Representations On the Combinatorial Anabelian Geometry of Nodally Nondegenerate Outer Representations Hiroshima Math. J., 41, 275-342 Hiroshima Math. J., 41, 275-342 Hiroshima Math. J., 41, 275-342 2011 Refereed English Disclose to all
S. Mochizuki S. Mochizuki S. Mochizuki On the Combinatorial Cuspidalization of Hyperbolic Curves On the Combinatorial Cuspidalization of Hyperbolic Curves On the Combinatorial Cuspidalization of Hyperbolic Curves Osaka J. Math., 47, 651-715 Osaka J. Math., 47, 651-715 Osaka J. Math., 47, 651-715 2010 Refereed English Disclose to all
S. Mochizuki S. Mochizuki S. Mochizuki Arithmetic Elliptic Curves in General Position Arithmetic Elliptic Curves in General Position Arithmetic Elliptic Curves in General Position Math. J. Okayama Univ., 52, 1-28 Math. J. Okayama Univ., 52, 1-28 Math. J. Okayama Univ., 52, 1-28 2010 Refereed English Disclose to all
S. Mochizuki S. Mochizuki S. Mochizuki The \'Etale Theta Function and its Frobenioid-theoretic Manifestations The \'Etale Theta Function and its Frobenioid-theoretic Manifestations The \'Etale Theta Function and its Frobenioid-theoretic Manifestations Publ. Res. Inst. Math. Sci., 45, 227-349 Publ. Res. Inst. Math. Sci., 45, 227-349 Publ. Res. Inst. Math. Sci., 45, 227-349 2009 Refereed English Disclose to all
S. Mochizuki; A. Tamagawa S. Mochizuki; A. Tamagawa S. Mochizuki; A. Tamagawa The algebraic and anabelian geometry of configuration spaces The algebraic and anabelian geometry of configuration spaces The algebraic and anabelian geometry of configuration spaces Hokkaido Math. J., 37, 75-131 Hokkaido Math. J., 37, 75-131 Hokkaido Math. J., 37, 75-131 2008 Refereed English Disclose to all
S. Mochizuki S. Mochizuki S. Mochizuki The Geometry of Frobenioids II: Poly-Frobenioids The Geometry of Frobenioids II: Poly-Frobenioids The Geometry of Frobenioids II: Poly-Frobenioids Kyushu J. Math., 62, 401-460 Kyushu J. Math., 62, 401-460 Kyushu J. Math., 62, 401-460 2008 Refereed English Disclose to all
S. Mochizuki S. Mochizuki S. Mochizuki The Geometry of Frobenioids I: The General Theory The Geometry of Frobenioids I: The General Theory The Geometry of Frobenioids I: The General Theory Kyushu J. Math., 62, 293-400 Kyushu J. Math., 62, 293-400 Kyushu J. Math., 62, 293-400 2008 Refereed English Disclose to all
S. Mochizuki S. Mochizuki S. Mochizuki Absolute anabelian cuspidalizations of proper hyperbolic curves Absolute anabelian cuspidalizations of proper hyperbolic curves Absolute anabelian cuspidalizations of proper hyperbolic curves J. Math. Kyoto Univ., 47, 451-539 J. Math. Kyoto Univ., 47, 451-539 J. Math. Kyoto Univ., 47, 451-539 2007 Refereed English Disclose to all
S. Mochizuki S. Mochizuki S. Mochizuki A combinatorial version of the Grothendieck conjecture A combinatorial version of the Grothendieck conjecture A combinatorial version of the Grothendieck conjecture Tohoku Math. J., 59, 455-479 Tohoku Math. J., 59, 455-479 Tohoku Math. J., 59, 455-479 2007 Refereed English Disclose to all
S. Mochizuki S. Mochizuki S. Mochizuki Global Solvably Closed Anabelian Geometry Global Solvably Closed Anabelian Geometry Global Solvably Closed Anabelian Geometry Math. J. Okayama Univ., 48, 57-71 Math. J. Okayama Univ., 48, 57-71 Math. J. Okayama Univ., 48, 57-71 2006 Refereed English Disclose to all
S. Mochizuki S. Mochizuki S. Mochizuki Conformal and quasiconformal categorical representation of hyperbolic Riemann surfaces Conformal and quasiconformal categorical representation of hyperbolic Riemann surfaces Conformal and quasiconformal categorical representation of hyperbolic Riemann surfaces Hiroshima Math. J., 36, 405-441 Hiroshima Math. J., 36, 405-441 Hiroshima Math. J., 36, 405-441 2006 Refereed English Disclose to all
S. Mochizuki S. Mochizuki S. Mochizuki Semi-graphs of Anabelioids Semi-graphs of Anabelioids Semi-graphs of Anabelioids Publ. Res. Inst. Math. Sci., 42, 221-322 Publ. Res. Inst. Math. Sci., 42, 221-322 Publ. Res. Inst. Math. Sci., 42, 221-322 2006 Refereed English Disclose to all
S. Mochizuki S. Mochizuki S. Mochizuki Galois Sections in Absolute Anabelian Geometry Galois Sections in Absolute Anabelian Geometry Galois Sections in Absolute Anabelian Geometry Nagoya Math. J., 179, 17-45 Nagoya Math. J., 179, 17-45 Nagoya Math. J., 179, 17-45 2005 Refereed English Disclose to all
望月新一 望月新一 望月新一 離散付値環のalmost etale extensions(学生用のノート) 離散付値環のalmost etale extensions(学生用のノート) 離散付値環のalmost etale extensions(学生用のノート) 京都大学数理解析研究所, 2005年10月 京都大学数理解析研究所, 2005年10月 京都大学数理解析研究所, 2005年10月 2005 Refereed Japanese Disclose to all
S. Mochizuki S. Mochizuki S. Mochizuki Categories of log schemes with archimedean structures Categories of log schemes with archimedean structures Categories of log schemes with archimedean structures J. Math. Kyoto Univ., 44, 891-909 J. Math. Kyoto Univ., 44, 891-909 J. Math. Kyoto Univ., 44, 891-909 2004 Refereed English Disclose to all
S. Mochizuki S. Mochizuki S. Mochizuki Categorical representation of locally noetherian log schemes Categorical representation of locally noetherian log schemes Categorical representation of locally noetherian log schemes Adv. Math., 188, 222-246 Adv. Math., 188, 222-246 Adv. Math., 188, 222-246 2004 Refereed English Disclose to all
S. Mochizuki S. Mochizuki S. Mochizuki The Geometry of Anabelioids The Geometry of Anabelioids The Geometry of Anabelioids Publ. Res. Inst. Math. Sci., 40, 819-881 Publ. Res. Inst. Math. Sci., 40, 819-881 Publ. Res. Inst. Math. Sci., 40, 819-881 2004 Refereed English Disclose to all
S. Mochizuki S. Mochizuki S. Mochizuki The Absolute Anabelian Geometry of Hyperbolic Curves The Absolute Anabelian Geometry of Hyperbolic Curves The Absolute Anabelian Geometry of Hyperbolic Curves Galois Theory and Modular Forms, Kluwer Academic Publishers, 77-122 Galois Theory and Modular Forms, Kluwer Academic Publishers, 77-122 Galois Theory and Modular Forms, Kluwer Academic Publishers, 77-122 2004 Refereed English Disclose to all
S. Mochizuki S. Mochizuki S. Mochizuki Noncritical Belyi Maps Noncritical Belyi Maps Noncritical Belyi Maps Math. J. Okayama Univ., 46, 105-113 Math. J. Okayama Univ., 46, 105-113 Math. J. Okayama Univ., 46, 105-113 2004 Refereed English Disclose to all
S. Mochizuki S. Mochizuki S. Mochizuki Topics Surrounding the Anabelian Geometry of Hyperbolic Curves. Galois Groups and Fundamental Groups Topics Surrounding the Anabelian Geometry of Hyperbolic Curves. Galois Groups and Fundamental Groups Topics Surrounding the Anabelian Geometry of Hyperbolic Curves. Galois Groups and Fundamental Groups Mathematical Sciences Research Institute Publications 41, Cambridge University Press, 119-165 Mathematical Sciences Research Institute Publications 41, Cambridge University Press, 119-165 Mathematical Sciences Research Institute Publications 41, Cambridge University Press, 119-165 2003 Refereed English Disclose to all
S. Mochizuki S. Mochizuki S. Mochizuki The Absolute Anabelian Geometry of Canonical Curves The Absolute Anabelian Geometry of Canonical Curves The Absolute Anabelian Geometry of Canonical Curves Kazuya Kato's fiftieth birthday, Doc. Math. 2003, Extra Vol., 609-640 Kazuya Kato's fiftieth birthday, Doc. Math. 2003, Extra Vol., 609-640 Kazuya Kato's fiftieth birthday, Doc. Math. 2003, Extra Vol., 609-640 2003 Refereed English Disclose to all
S. Mochizuki S. Mochizuki S. Mochizuki Anabelian Geometry in the Hodge-Arakelov Theory of Elliptic Curves Anabelian Geometry in the Hodge-Arakelov Theory of Elliptic Curves Anabelian Geometry in the Hodge-Arakelov Theory of Elliptic Curves Communications in arithmetic fundamental groups (Kyoto 1999/2001), RIMS K\=oky\=uroku, 1267, 96-111 Communications in arithmetic fundamental groups (Kyoto 1999/2001), RIMS K\=oky\=uroku, 1267, 96-111 Communications in arithmetic fundamental groups (Kyoto 1999/2001), RIMS K\=oky\=uroku, 1267, 96-111 2002 Refereed English Disclose to all
S. Mochizuki S. Mochizuki S. Mochizuki A Survey of the Hodge-Arakelov Theory of Elliptic Curves II A Survey of the Hodge-Arakelov Theory of Elliptic Curves II A Survey of the Hodge-Arakelov Theory of Elliptic Curves II Algebraic Geometry 2000. Azumino, Adv. Stud. Pure Math. 36, Math. Soc. Japan, 36, 81-114 Algebraic Geometry 2000. Azumino, Adv. Stud. Pure Math. 36, Math. Soc. Japan, 36, 81-114 Algebraic Geometry 2000. Azumino, Adv. Stud. Pure Math. 36, Math. Soc. Japan, 36, 81-114 2002 Refereed English Disclose to all
S. Mochizuki S. Mochizuki S. Mochizuki A Survey of the Hodge-Arakelov Theory of Elliptic Curves I A Survey of the Hodge-Arakelov Theory of Elliptic Curves I A Survey of the Hodge-Arakelov Theory of Elliptic Curves I Arithmetic Fundamental Groups and Noncommutative Algebra, Proceedings of Symposia in Pure Mathematics 70, American Mathematical Society, 533-569 Arithmetic Fundamental Groups and Noncommutative Algebra, Proceedings of Symposia in Pure Mathematics 70, American Mathematical Society, 533-569 Arithmetic Fundamental Groups and Noncommutative Algebra, Proceedings of Symposia in Pure Mathematics 70, American Mathematical Society, 533-569 2002 Refereed English Disclose to all
S. Mochizuki S. Mochizuki S. Mochizuki An Introduction to -adic Teichm\"uller Theory An Introduction to -adic Teichm\"uller Theory An Introduction to -adic Teichm\"uller Theory Cohomologies $p$-adiques et applications arithm\'etiques I. Ast\'erisque, 278, 1-49 Cohomologies $p$-adiques et applications arithm\'etiques I. Ast\'erisque, 278, 1-49 Cohomologies $p$-adiques et applications arithm\'etiques I. Ast\'erisque, 278, 1-49 2002 Refereed English Disclose to all
望月新一 望月新一 望月新一 Anabelioidの幾何学 Anabelioidの幾何学 Anabelioidの幾何学 明治大学, 2002年3月 明治大学, 2002年3月 明治大学, 2002年3月 2002 Refereed Japanese Disclose to all
望月新一 望月新一 望月新一 Anabelioidの幾何学とTeichmuller理論 Anabelioidの幾何学とTeichmuller理論 Anabelioidの幾何学とTeichmuller理論 室蘭, 2002年8月 室蘭, 2002年8月 室蘭, 2002年8月 2002 Refereed Japanese Disclose to all
S. Mochizuki; H. Nakamura; A. Tamagawa S. Mochizuki; H. Nakamura; A. Tamagawa S. Mochizuki; H. Nakamura; A. Tamagawa The Grothendieck conjecture on the fundamental groups of algebraic curves The Grothendieck conjecture on the fundamental groups of algebraic curves The Grothendieck conjecture on the fundamental groups of algebraic curves Sugaku Expositions, 14, 31-53 Sugaku Expositions, 14, 31-53 Sugaku Expositions, 14, 31-53 2001 Refereed English Disclose to all
S. Mochizuki S. Mochizuki S. Mochizuki The intrinsic Hodge theory of -adic hyperbolic curves The intrinsic Hodge theory of -adic hyperbolic curves The intrinsic Hodge theory of -adic hyperbolic curves Taniguchi Conference on Mathematics, Nara '98, Adv. Stud. Pure Math. 31 (2001), Math. Soc. Japan, 211-233 Taniguchi Conference on Mathematics, Nara '98, Adv. Stud. Pure Math. 31 (2001), Math. Soc. Japan, 211-233 Taniguchi Conference on Mathematics, Nara '98, Adv. Stud. Pure Math. 31 (2001), Math. Soc. Japan, 211-233 2001 Refereed English Disclose to all
望月新一 望月新一 望月新一 進Teichm\"uller理論 進Teichm\"uller理論 進Teichm\"uller理論 北海道大学, 2001年1月 北海道大学, 2001年1月 北海道大学, 2001年1月 2001 Refereed Japanese Disclose to all
S. Mochizuki S. Mochizuki S. Mochizuki The Hodge-Arakelov Theory of Elliptic Curves in Positive Characteristic The Hodge-Arakelov Theory of Elliptic Curves in Positive Characteristic The Hodge-Arakelov Theory of Elliptic Curves in Positive Characteristic RIMS Preprint 1298 (October 2000) RIMS Preprint 1298 (October 2000) RIMS Preprint 1298 (October 2000) 2000 English Disclose to all
S. Mochizuki S. Mochizuki S. Mochizuki The Galois-Theoretic Kodaira-Spencer Morphism of an Elliptic Curve The Galois-Theoretic Kodaira-Spencer Morphism of an Elliptic Curve The Galois-Theoretic Kodaira-Spencer Morphism of an Elliptic Curve RIMS Preprint 1287 (July 2000) RIMS Preprint 1287 (July 2000) RIMS Preprint 1287 (July 2000) 2000 English Disclose to all
S. Mochizuki S. Mochizuki S. Mochizuki Connections and Related Integral Structures on the Universal Extension of an Elliptic Curve Connections and Related Integral Structures on the Universal Extension of an Elliptic Curve Connections and Related Integral Structures on the Universal Extension of an Elliptic Curve RIMS Preprint 1279 (May 2000) RIMS Preprint 1279 (May 2000) RIMS Preprint 1279 (May 2000) 2000 English Disclose to all
S. Mochizuki S. Mochizuki S. Mochizuki The intrinsic Hodge theory of hyperbolic curves The intrinsic Hodge theory of hyperbolic curves The intrinsic Hodge theory of hyperbolic curves Number Theory and Related Topics (Seoul 1998), Yonsei Univ. Inst. Math. Sci., 1-27 Number Theory and Related Topics (Seoul 1998), Yonsei Univ. Inst. Math. Sci., 1-27 Number Theory and Related Topics (Seoul 1998), Yonsei Univ. Inst. Math. Sci., 1-27 2000 Refereed English Disclose to all
望月新一 望月新一 望月新一 多項式の解の近似がとりもつ数論と幾何の関係 (1), (2), (3), (4) 多項式の解の近似がとりもつ数論と幾何の関係 (1), (2), (3), (4) 多項式の解の近似がとりもつ数論と幾何の関係 (1), (2), (3), (4) 数学セミナー 39巻 4, 5, 6, 7号 (2000), 62-64, 56-58, 61-64, 58-61 数学セミナー 39巻 4, 5, 6, 7号 (2000), 62-64, 56-58, 61-64, 58-61 数学セミナー 39巻 4, 5, 6, 7号 (2000), 62-64, 56-58, 61-64, 58-61 2000 Refereed Japanese Disclose to all
望月新一 望月新一 望月新一 実複素多様体のセクション予想と測地線の幾何 実複素多様体のセクション予想と測地線の幾何 実複素多様体のセクション予想と測地線の幾何 大阪市立大学, 2000年9月 大阪市立大学, 2000年9月 大阪市立大学, 2000年9月 2000 Refereed Japanese Disclose to all
S. Mochizuki S. Mochizuki S. Mochizuki The Scheme-Theoretic Theta Convolution The Scheme-Theoretic Theta Convolution The Scheme-Theoretic Theta Convolution RIMS Preprint 1257 (October 1999) RIMS Preprint 1257 (October 1999) RIMS Preprint 1257 (October 1999) 1999 English Disclose to all
S. Mochizuki S. Mochizuki S. Mochizuki The Hodge-Arakelov Theory of Elliptic Curves: Global Discretization of Local Hodge Theories The Hodge-Arakelov Theory of Elliptic Curves: Global Discretization of Local Hodge Theories The Hodge-Arakelov Theory of Elliptic Curves: Global Discretization of Local Hodge Theories RIMS Preprint 1255. 1256 (October 1999) RIMS Preprint 1255. 1256 (October 1999) RIMS Preprint 1255. 1256 (October 1999) 1999 English Disclose to all
S. Mochizuki S. Mochizuki S. Mochizuki The Local Pro- Anabelian Geometry of Curves The Local Pro- Anabelian Geometry of Curves The Local Pro- Anabelian Geometry of Curves Invent. Math., 138, 319-423 Invent. Math., 138, 319-423 Invent. Math., 138, 319-423 1999 Refereed English Disclose to all
S. Mochizuki S. Mochizuki S. Mochizuki Foundations of -adic Teichm\"uller Theory Foundations of -adic Teichm\"uller Theory Foundations of -adic Teichm\"uller Theory AMS/IP Studies in Advanced Mathematics 11, American Mathematical Society/International Press AMS/IP Studies in Advanced Mathematics 11, American Mathematical Society/International Press AMS/IP Studies in Advanced Mathematics 11, American Mathematical Society/International Press 1999 Refereed English Disclose to all
S. Mochizuki S. Mochizuki S. Mochizuki Extending Families of Curves over Log Regular Schemes Extending Families of Curves over Log Regular Schemes Extending Families of Curves over Log Regular Schemes J. reine angew. Math., 511, 43-71 J. reine angew. Math., 511, 43-71 J. reine angew. Math., 511, 43-71 1999 Refereed English Disclose to all
望月新一 望月新一 望月新一 代数曲線に関するGrothendieck予想 --- 進幾何の視点から 代数曲線に関するGrothendieck予想 --- 進幾何の視点から 代数曲線に関するGrothendieck予想 --- 進幾何の視点から 第四回津田塾大学整数論シンポジウム(1998) 津田塾大学 数学・計算機科学研究所 研究所報, 17, 1-31 第四回津田塾大学整数論シンポジウム(1998) 津田塾大学 数学・計算機科学研究所 研究所報, 17, 1-31 第四回津田塾大学整数論シンポジウム(1998) 津田塾大学 数学・計算機科学研究所 研究所報, 17, 1-31 1999 Refereed Japanese Disclose to all
望月新一 望月新一 望月新一 連載ICM 98、部門別報告:整数論と数論幾何I 連載ICM 98、部門別報告:整数論と数論幾何I 連載ICM 98、部門別報告:整数論と数論幾何I 数学 51巻第1号(1999年1月), 77-79 数学 51巻第1号(1999年1月), 77-79 数学 51巻第1号(1999年1月), 77-79 1999 Refereed Japanese Disclose to all
望月新一 望月新一 望月新一 モチーフ --- 代数多様体の数論的骨格 --- モチーフ --- 代数多様体の数論的骨格 --- モチーフ --- 代数多様体の数論的骨格 --- 数学セミナー, 38巻, 5号, 30-31 数学セミナー, 38巻, 5号, 30-31 数学セミナー, 38巻, 5号, 30-31 1999 Refereed Japanese Disclose to all
S. Mochizuki S. Mochizuki S. Mochizuki The Intrinsic Hodge Theory of -adic Hyperbolic Curves The Intrinsic Hodge Theory of -adic Hyperbolic Curves The Intrinsic Hodge Theory of -adic Hyperbolic Curves Proceedings of the International Congress of Mathematicians, Vol. II (Berlin 1998), Doc. Math. 1998, Extra Vol. II, 187-196 Proceedings of the International Congress of Mathematicians, Vol. II (Berlin 1998), Doc. Math. 1998, Extra Vol. II, 187-196 Proceedings of the International Congress of Mathematicians, Vol. II (Berlin 1998), Doc. Math. 1998, Extra Vol. II, 187-196 1998 Refereed English Disclose to all
S. Mochizuki S. Mochizuki S. Mochizuki Correspondences on Hyperbolic Curves Correspondences on Hyperbolic Curves Correspondences on Hyperbolic Curves Journ. Pure Appl. Algebra, 131, 227-244 Journ. Pure Appl. Algebra, 131, 227-244 Journ. Pure Appl. Algebra, 131, 227-244 1998 Refereed English Disclose to all
中村 博昭; 玉川 安騎男; 望月新一 中村 博昭; 玉川 安騎男; 望月新一 中村 博昭; 玉川 安騎男; 望月新一 代数曲線の基本群に関するGrothendieck予想 代数曲線の基本群に関するGrothendieck予想 代数曲線の基本群に関するGrothendieck予想 数学, 50巻, 2号, 113-129 数学, 50巻, 2号, 113-129 数学, 50巻, 2号, 113-129 1998 Refereed Japanese Disclose to all
望月新一 望月新一 望月新一 基本群に映る双曲的代数曲線の構造 基本群に映る双曲的代数曲線の構造 基本群に映る双曲的代数曲線の構造 数理科学, 36巻, 7号, 41-47 数理科学, 36巻, 7号, 41-47 数理科学, 36巻, 7号, 41-47 1998 Refereed Japanese Disclose to all
S. Mochizuki S. Mochizuki S. Mochizuki A Version of the Grothendieck Conjecture for -adic Local Fields A Version of the Grothendieck Conjecture for -adic Local Fields A Version of the Grothendieck Conjecture for -adic Local Fields The International Journal of Math., 8, 499-506 The International Journal of Math., 8, 499-506 The International Journal of Math., 8, 499-506 1997 Refereed English Disclose to all
S. Mochizuki S. Mochizuki S. Mochizuki The Profinite Grothendieck Conjecture for Closed Hyperbolic Curves over Number Fields The Profinite Grothendieck Conjecture for Closed Hyperbolic Curves over Number Fields The Profinite Grothendieck Conjecture for Closed Hyperbolic Curves over Number Fields J. Math. Sci. Univ. Tokyo, 3, 571-627 J. Math. Sci. Univ. Tokyo, 3, 571-627 J. Math. Sci. Univ. Tokyo, 3, 571-627 1996 Refereed English Disclose to all
S. Mochizuki S. Mochizuki S. Mochizuki A Theory of Ordinary -adic Curves A Theory of Ordinary -adic Curves A Theory of Ordinary -adic Curves Publ. Res. Inst. Math. Sci., 32, 957-1151 Publ. Res. Inst. Math. Sci., 32, 957-1151 Publ. Res. Inst. Math. Sci., 32, 957-1151 1996 Refereed English Disclose to all
S. Mochizuki S. Mochizuki S. Mochizuki On Semi-Positivity and Filtered Frobenius Crystals On Semi-Positivity and Filtered Frobenius Crystals On Semi-Positivity and Filtered Frobenius Crystals Publ. Res. Inst. Math. Sci., 31, 81-94 Publ. Res. Inst. Math. Sci., 31, 81-94 Publ. Res. Inst. Math. Sci., 31, 81-94 1995 Refereed English Disclose to all
S. Mochizuki S. Mochizuki S. Mochizuki The Geometry of the Compactification of the Hurwitz Scheme The Geometry of the Compactification of the Hurwitz Scheme The Geometry of the Compactification of the Hurwitz Scheme Publ. Res. Inst. Math. Sci., 31, 355-441 Publ. Res. Inst. Math. Sci., 31, 355-441 Publ. Res. Inst. Math. Sci., 31, 355-441 1995 Refereed English Disclose to all

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Title language:
Conference Activities & Talks
Title Title(Japanese) Title(English) Conference Conference(Japanese) Conference(English) Promotor Promotor(Japanese) Promotor(English) Date Language Assortment Disclose
宇宙際タイヒミューラー理論に関するセミナー[Invited] 宇宙際タイヒミューラー理論に関するセミナー [Invited] 宇宙際タイヒミューラー理論に関するセミナー [Invited] 2018/04 Disclose to all
Title language:
Books etc
Author Author(Japanese) Author(English) Title Title(Japanese) Title(English) Publisher Publisher(Japanese) Publisher(English) Publication date Language Type Disclose
Fumiharu Kato 加藤 文元 Fumiharu Kato Mathematics that bridges universes --- The shock of IUT theory 宇宙と宇宙をつなぐ数学 IUT理論の衝撃 Mathematics that bridges universes --- The shock of IUT theory Kadokawa 角川書店 Kadokawa 2019/06 Japanese Other Disclose to all
Title language:
Awards
Title(Japanese) Title(English) Organization name(Japanese) Organization name(English) Date
日本数学会賞秋季賞 日本数学会 1997/09/
日本学術振興会賞 日本学術振興会 2005/02/
日本学士院学術奨励賞 日本学士院 2005/03/
Teaching subject(s)
Name(Japanese) Name(English) Term Department Period
数論幾何セミナー研究A 前期 理学研究科 2011/04-2012/03
数論幾何セミナー研究B 後期 理学研究科 2011/04-2012/03
数論幾何セミナー研究C 前期 理学研究科 2011/04-2012/03
数論幾何セミナー研究D 後期 理学研究科 2011/04-2012/03
数論幾何セミナー研究A Seminar on Arithmetic Geometry A 前期 理学研究科 2014/04-2015/03
数論幾何セミナー研究B Seminar on Arithmetic Geometry B 後期 理学研究科 2014/04-2015/03
数論幾何セミナー研究C Seminar on Arithmetic Geometry C 前期 理学研究科 2014/04-2015/03
数論幾何セミナー研究D Seminar on Arithmetic Geometry D 後期 理学研究科 2014/04-2015/03
数論幾何セミナー研究A Seminar on Arithmetic Geometry A 前期 理学研究科 2015/04-2016/03
数論幾何セミナー研究B Seminar on Arithmetic Geometry B 後期 理学研究科 2015/04-2016/03
数論幾何セミナー研究C Seminar on Arithmetic Geometry C 前期 理学研究科 2015/04-2016/03
数論幾何セミナー研究D Seminar on Arithmetic Geometry D 後期 理学研究科 2015/04-2016/03
数論幾何セミナー研究A Seminar on Arithmetic Geometry A 前期 理学研究科 2016/04-2017/03
数論幾何セミナー研究B Seminar on Arithmetic Geometry B 後期 理学研究科 2016/04-2017/03
数論幾何セミナー研究C Seminar on Arithmetic Geometry C 前期 理学研究科 2016/04-2017/03
数論幾何セミナー研究D Seminar on Arithmetic Geometry D 後期 理学研究科 2016/04-2017/03
数論幾何セミナー研究A Seminar on Arithmetic Geometry A 前期 理学研究科 2017/04-2018/03
数論幾何セミナー研究B Seminar on Arithmetic Geometry B 後期 理学研究科 2017/04-2018/03
数論幾何セミナー研究C Seminar on Arithmetic Geometry C 前期 理学研究科 2017/04-2018/03
数論幾何セミナー研究D Seminar on Arithmetic Geometry D 後期 理学研究科 2017/04-2018/03
数論幾何セミナー研究a Seminar on Arithmetic Geometry a 前期 理学研究科 2018/04-2019/03
数論幾何セミナー研究b Seminar on Arithmetic Geometry b 後期 理学研究科 2018/04-2019/03
数論幾何セミナー研究c Seminar on Arithmetic Geometry c 前期 理学研究科 2018/04-2019/03
数論幾何セミナー研究d Seminar on Arithmetic Geometry d 後期 理学研究科 2018/04-2019/03
数論幾何セミナー研究a Seminar on Arithmetic Geometry a 前期 理学研究科 2019/04-2020/03
数論幾何セミナー研究b Seminar on Arithmetic Geometry b 後期 理学研究科 2019/04-2020/03
数論幾何セミナー研究c Seminar on Arithmetic Geometry c 前期 理学研究科 2019/04-2020/03
数論幾何セミナー研究d Seminar on Arithmetic Geometry d 後期 理学研究科 2019/04-2020/03

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Faculty management (title, position)
Title Period
自己点検・評価委員会 委員 2008/04/01-
編集委員会 委員長 2012/04/01-
広報委員会 委員 2007/04/01-
人権問題委員会 委員 2009/04/01-
協議員会 協議員 -
運営委員会 運営委員 -
専門委員会 専門委員 -
予算委員会 委員 2019/04/01-
Number of times you hosted foreign researchers (long-term)
Visitor name Organization Department Research theme Country Period
Kirti, Joshi The University of Arizona 数学科 正標数双曲的曲線の数論幾何 アメリカ合衆国 2018/01/16-2018/05/15
van Frankenhuijsen, Machiel Utah Valley University 数学科 宇宙際タイヒミューラー理論に関連した話題 アメリカ合衆国 2018/01/07-2018/06/28
Hu, Zhi 中国科学技術大学 数学科 宇宙際タイヒミューラー理論に関連した数学 中国 2017/10/26-2018/10/01
Hu, Zhi 中国科学技術大学 数学科 宇宙際タイヒミューラー理論に関連した数学 中国 2016/09/30-2017/09/30
Fesenko, Ivan University of Nottingham 宇宙際タイヒミューラー理論に関連した話題 連合王国 2018/09/03-2018/12/05
Number of times you have hosted foreign researchers (short-term)
Visitor name Organization Country Date
Lepage, Emmanuel University Paris 6 フランス共和国 2017/06/10-2017/08/05
Tan, Fucheng 中国上海交通大学・上海数学中心 中国 2016/10/02-2016/11/30
van Frankenhuijsen, Machiel Utah Valley University アメリカ合衆国 2015/05/04-2015/08/20
Mok, Chung Pang Morningside Center of Mathematics 中国 2015/01/18-2015/03/27
Fesenko, Ivan University of Nottingham 連合王国 2018/07/16-2018/08/15
Lepage, Emmanuel Sorbonne University フランス共和国 2018/07/27-2018/08/30
Lepage, Emmanuel Sorbonne University (IMJ-PRG) フランス共和国 2019/06/20-2019/07/30
Dupuy, Taylor University of Vermont United States of America 2019/03/09-2019/03/16
Dupuy, Taylor University of Vermont United States of America 2019/05/15-2019/05/23
Dupuy, Taylor University of Vermont United States of America 2019/07/14-2019/07/20