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According to Wikipedia , Shinichi Mochizuki is a Japanese mathematician working in number theory and arithmetic geometry. He is one of the main contributors to anabelian geometry. His contributions include his solution of the Grothendieck conjecture in anabelian geometry about hyperbolic curves over number fields. Mochizuki has also worked in Hodge–Arakelov theory and p-adic Teichmüller theory. Mochizuki developed inter-universal Teichmüller theory, which has attracted attention from non-mathematicians due to claims it provides a resolution of the abc conjecture.
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1980 1990 2000 2010 2020 0 25 50 75 100 125 150 175 200 225 250 275 Published Works The local pro-p anabelian geometry of curves (1999) The Geometry of the Compactification of the Hurwitz Scheme (1995) Topics in Absolute Anabelian Geometry I: Generalities (2012) (79)The Profinite Grothendieck Conjecture for Closed Hyperbolic Curves over Number Fields (1996) (72)Absolute anabelian cuspidalizations of proper hyperbolic curves (2007) Topics Surrounding the Anabelian Geometry of Hyperbolic Curves (2003) (71)Semi-graphs of Anabelioids (2006) ON THE COMBINATORIAL ANABELIAN GEOMETRY OF NODALLY NONDEGENERATE OUTER REPRESENTATIONS (2011) The Absolute Anabelian Geometry of Hyperbolic Curves (2004) TOPICS IN ABSOLUTE ANABELIAN GEOMETRY III: GLOBAL RECONSTRUCTION ALGORITHMS (2015) (57)A Version of the Grothendieck Conjecture for p-Adic Local Fields (1997) A Theory of Ordinary $p$-Adic Curves (1996) Extending families of curves over log regular schemes (1999) THE ALGEBRAIC AND ANABELIAN GEOMETRY OF CONFIGURATION SPACES (2008) A COMBINATORIAL VERSION OF THE GROTHENDIECK CONJECTURE (2007) Correspondences on hyperbolic curves (1998) TOPICS IN ABSOLUTE ANABELIAN GEOMETRY II: DECOMPOSITION GROUPS AND ENDOMORPHISMS (2013) (36)Galois Sections in Absolute Anabelian Geometry (2005) The ´ Etale Theta Function and Its Frobenioid-Theoretic Manifestations (2009) The Absolute Anabelian Geometry of Canonical Curves (2003) (27)Inter-universal Teichmüller Theory IV: Log-Volume Computations and Set-Theoretic Foundations (2021) Inter-universal Teichmüller Theory I: Construction of Hodge Theaters (2021) Topics surrounding the combinatorial anabelian geometry of hyperbolic curves I: Inertia groups and profinite Dehn twists (2012) Foundations of $p$-adic Teichmuller Theory (2014) Inter-universal Teichmüller Theory III: Canonical Splittings of the Log-Theta-Lattice (2021) On the combinatorial cuspidalization of hyperbolic curves (2010) THE GEOMETRY OF FROBENIOIDS I: THE GENERAL THEORY (2008) The Geometry of Anabelioids (2004) ARITHMETIC ELLIPTIC CURVES IN GENERAL POSITION (2010) (18)Inter-universal Teichmüller Theory II: Hodge–Arakelov-Theoretic Evaluation (2021) A Survey of the Hodge-Arakelov Theory of Elliptic Curves II (2002) The Hodge-Arakelov Theory of Elliptic Curves : Global Discretization of Local Hodge Theories (1999) (16)Noncritical Belyi Maps (2004) (15)THE GEOMETRY OF FROBENIOIDS II: POLY-FROBENIOIDS (2008) Categorical representation of locally noetherian log schemes (2004) Group-theoreticity of numerical invariants and distinguished subgroups of configuration space groups (2022) ON THE VERIFICATION OF INTER-UNIVERSAL TEICHMÜLLER THEORY: A PROGRESS REPORT (AS OF DECEMBER 2013) (2014) (11)TOPICS SURROUNDING THE COMBINATORIAL ANABELIAN GEOMETRY OF HYPERBOLIC CUR VES II: TRIPODS AND COMBINATORIAL CUSPIDALIZATION (2014) (10)GLOBAL SOLVABLY CLOSED ANABELIAN GEOMETRY (2006) (9)CONFORMAL AND QUASICONFORMAL CATEGORICAL REPRESENTATION OF HYPERBOLIC RIEMANN SURFACES (2006) A panoramic overview of inter-universal Teichmuller theory (Algebraic Number Theory and Related Topics 2012) (2014) (8)Well Productivity for Arbitrarily Inclined Well (1995) Categories of log schemes with archimedean structures (2004) Development of a Realistic Visualization System of Silkworm Spinning Behaviour Using a Personal Computer and OpenGL (2001) TOPICS SURROUNDING THE COMBINATORIAL ANABELIAN GEOMETRY OF HYPERBOLIC CURVES III: TRIPODS AND TEMPERED FUNDAMENTAL GROUPS (2013) (7)Bogomolov’s proof of the geometric version of the Szpiro Conjecture from the point of view of inter-universal Teichmüller theory (2016) Monomorphisms in categories of log schemes (2015) An Efficient Computational Algorithm for Adaptive Manipulator Control (1993) ON DISCUSSIONS , HELD DURING THE PERIOD MARCH 15 – 20 , 2018 , CONCERNING INTER-UNIVERSAL TEICHMÜLLER THEORY ( IUTCH ) (2019) (5)A stochastic model for the fixing and moving patterns of Bombyx mori in the cocoon construction process (1999) The Scheme-Theoretic Theta Convolution (2004) (5)Anabelian Geometry in the Hodge-Arakelov Theory of Elliptic Curves (Communications in Arithmetic Fundamental Groups) (2002) (4)TOPICS SURROUNDING THE COMBINATORIAL ANABELIAN GEOMETRY OF HYPERBOLIC CURVES IV: DISCRETENESS AND SECTIONS (2015) (4)ON THE ESSENTIAL LOGICAL STRUCTURE OF INTER-UNIVERSAL TEICHMÜLLER THEORY IN TERMS OF LOGICAL AND “∧”/LOGICAL OR “∨” RELATIONS: REPORT ON THE OCCASION OF THE PUBLICATION OF THE FOUR MAIN PAPERS ON INTER-UNIVERSAL TEICHMÜLLER THEORY (2021) (4)The Intrinsic Hodge Theory of $p$-adic Hyperbolic Curves (2001) An introduction to p-adic Teichmüller theory (2002) (4)The Hodge-Arakelov Theory of Elliptic Curves in Positive Characteristic (2000) (3)Connections and Related Integral Structures on the Universal Extension of an Elliptic Curve (2006) (3)COMMENTS ON THE MANUSCRIPT (2018-08 VERSION) BY SCHOLZE-STIX CONCERNING INTER-UNIVERSAL TEICHMÜLLER THEORY (IUTCH) (2018) (2)Contributions to the Theory of Ehrhart (2006) (2)COMMENTS ON THE MANUSCRIPT (2018-08 VERSION) BY SCHOLZE-STIX CONCERNING INTER-UNIVERSAL TEICHMÜLLER THEORY (IUTCH) (2018) (2)On Semi-Positivity and Filtered Frobenius Crystals (1995) Analysis of the silkworm's shape distribution and serial shape changes in the course of spinning (1998) SUMMARY OF LETTERS TO PARTICIPANTS OF THE WORKSHOP ON THE THEORY OF SHINICHI MOCHIZUKI, DECEMBER 7–11 2015, OXFORD (2016) (1)Explicit estimates in inter-universal Teichmüller theory (2022) COMMENTS ON THE MAIN THEOREM OF POP-STIX (2010) (1)COMMENTS ON THE MAIN THEOREM OF POP-STIX (2010) (1)COMMENTS ON A COMBINATORIAL VERSION OF THE SECTION CONJECTURE AND THE MAIN THEOREM OF POP-STIX (2011) (1)COMMENTS ON A COMBINATORIAL VERSION OF THE SECTION CONJECTURE AND THE MAIN THEOREM OF POP-STIX (2011) (1)COMMENTS ON “SEMI-GRAPHS OF ANABELIOIDS” (2009) (1)COMMENTS ON “SEMI-GRAPHS OF ANABELIOIDS” (2009) (1)Galois Groups and Fundamental Groups Msri Publications (2004) (1)Structure design for optical fiber cable (1979) (1)The Galois-Theoretic Kodaira-Spencer Morphism of an Elliptic Curve (2011) (1)Introduction to the abc conjecture (2016) (1)Analysis of the fixed direction of a silkworm body during cocoon construction (2000) Combinatorial Construction of the Absolute Galois Group of the Field of Rational Numbers (2020) (1)PURPOSE AND EFFECT OF EXTENDING THE LIFE SPAN OF PUBLIC FACILITIES (2019) RIMS/Symmetries and Correspondences Workshop: Combinatorial Anabelian Geometry and Related Topics (2021) (0)COMMENTS ON VALUATIONS ASSOCIATED TO SYSTEMS OF VERTICES/EDGES AND THE MAIN THEOREM OF POP-STIX (2011) (0)COMMENTS ON VALUATIONS ASSOCIATED TO SYSTEMS OF VERTICES/EDGES AND THE MAIN THEOREM OF POP-STIX (2011) (0)The geometrization of spiked Frobenius liftings (2014) An Efficient Computation Method of Model-Based Adaptive Control for Manipulators and Its Experiments (1994) Combinatorialization at infinity of the stack of nilcurves (2014) Idealized Version of Fundamental Theorem of Hodge ‐ Arakelov Theory (2018) (0)Inter-universal Teichm¨uller Theory Iv: Log-volume Computations and Set-theoretic Foundations Log-volume Computations and Set-theoretic Foundations (2012) (0)Plastic Sheath for 2.6/9.5 mm Coaxial Cable (1984) (0)On Semi-Posltlvlty and Filtered Frobenlus Crystals (2005) (0)Fesenko, Ivan (2015) Arithmetic deformation theory via arithmetic fundamental groups and nonarchimedean theta functions, notes on the work of (2016) (0)Representations of the fundamental group of the curve (2014) Fesenko, Ivan (2015) Arithmetic deformation theory via arithmetic fundamental groups and nonarchimedean theta functions, notes on the work of (2016) (0)COMMENTS ON THE MANUSCRIPT BY SCHOLZE-STIX CONCERNING INTER-UNIVERSAL TEICHMÜLLER THEORY (IUTCH) (2018) (0)COMMENTS ON THE MANUSCRIPT BY SCHOLZE-STIX CONCERNING INTER-UNIVERSAL TEICHMÜLLER THEORY (IUTCH) (2018) (0)Surrounding the Anabelian Geometry of Hyperbolic Curves (2002) (0)The Main Result We begin with some elementary lemmas : Lemma 2 (2004) (0)Construction of examples (2014) A Survey of Absolute p-adic Anabelian Geometry (2011) (0)Crys-stable bundles (2014) Ordinary stable bundles on a curve (2014) The Hodge-Arakelov Theory of Elliptic Curves (2011) (0)IN ABSOLUTE ANABELIAN GEOMETRY I : GENERALITIES (2008) (0)The generalized ordinary theory (2014) SEMI-POSITIVITY AND FROBENIUS CRYSTALS On Semi-Positivity and Filtered Frobenius Crystals (2006) (0)COMMENTS ON “THE GEOMETRY OF FROBENIOIDS I” (2013) (0)COMMENTS ON “THE GEOMETRY OF FROBENIOIDS I” (2013) (0)Automatic transmission having a taper roller bearing with lubricating oil reservoir (2000) (0)COMMENTS ON STRONGLY TORSION-FREE GROUPS (2009) (0)ICM 1998, Berlin, Aug. 18--27 Abstracts of Plenary and Invited Lectures (2007) (0)The geometrization of binary-ordinary Frobenius liftings (2014) The Fourier Transform of an Algebraic Theta Function : The Case of an Étale Lagrangian Subgroup § 5 (1999) (0)The stack of quasi-analytic self-isogenies (2014) RESPONSES TO QUESTIONS ON FROBENIOIDS (2015) (0)Torally Crys-stable bundles in positive characteristic (2014) EXPOSITIONS OF "THE ´ ETALE THETA FUNCTION AND ITS FROBENIOID-THEORETIC MANIFESTATIONS" IN THE CONTEXT OF INTER-UNIVERSAL TEICHM ¨ (2015) (0)RESPONSES TO QUESTIONS ON FROBENIOIDS (2015) (0)On Semi-Posltlvlty and Filtered Frobenlus Crystals (2005) (0)Bogomolov’s proof of the geometric version of the Szpiro Conjecture from the point of view of inter-universal Teichmüller theory (2016) The Geometry of the Compactification of the Hurwltz Scheme (2006) (0)New 6-speed Automatic Transmission for Front-wheel-drive Vehicles (2008) (0)More Papers This paper list is powered by the following services:
Other Resources About Shinichi Mochizuki What Schools Are Affiliated With Shinichi Mochizuki? Shinichi Mochizuki is affiliated with the following schools:
