欧文学術雑誌の論文等
数論幾何一般
[1] The Geometry of the Compactification of the Hurwitz Scheme. PDF
[2] On Semi-Positivity and Filtered Frobenius Crystals. PDF
[3] Correspondences on Hyperbolic Curves. PDF
[4] Extending Families of Curves over Log Regular Schemes. PDF
[5] Noncritical Belyi Maps. PDF
[6] Arithmetic Elliptic Curves in General Position. PDF NEW !! (2009-02-17) Comments NEW !! (2012-10-08)
内在的Hodge理論
[1] The Intrinsic Hodge Theory of p-adic Hyperbolic Curves (ICM 98). PDF
[2] The intrinsic Hodge theory of hyperbolic curves (Seoul 1998). PDF
[3] The intrinsic Hodge theory of p-adic hyperbolic curves (Nara 1998). PDF
p進Teichmuller理論
[1] A Theory of Ordinary p-adic Curves. PDF Comments NEW !! (2011-07-15)
[2] Foundations of p-adic Teichmuller Theory. Comments NEW !! (2008-04-09)
[3] An Introduction to p-adic Teichmuller Theory. PDF
遠アーベル幾何、圏の幾何
[1] The Profinite Grothendieck Conjecture for Closed Hyperbolic Curves over
Number Fields. PDF Comments NEW !! (2012-12-20)
[2] A Version of the Grothendieck Conjecture for p-adic Local Fields.
PDF
[3] The Local Pro-p Anabelian Geometry of Curves. PDF
[4] The Grothendieck conjecture on the fundamental groups of algebraic
curves. PDF
[5] The Absolute Anabelian Geometry of Hyperbolic Curves. PDF Comments NEW!! (2013-05-24)
[6] The Absolute Anabelian Geometry of Canonical Curves. PDF Comments NEW !! (2012-06-18)
[7] Topics Surrounding the Anabelian Geometry of Hyperbolic Curves. PDF
[8] The Geometry of Anabelioids. PDF Comments NEW !! (2012-12-20)
[9] Categorical representation of locally noetherian log schemes. PDF
[10] Categories of log schemes with archimedean structures. PDF
[11] Semi-graphs of Anabelioids. PDF Comments NEW !! (2012-12-20)
[12] Galois Sections in Absolute Anabelian Geometry. PDF
[13] A Combinatorial Version of the Grothendieck Conjecture. PDF NEW !! (2007-04-06) Comments NEW !! (2013-04-12)
[14] Conformal and Quasiconformal Categorical Representation of Hyperbolic
Riemann Surfaces. PDF NEW !!
(2006-08-25)
[15] Absolute Anabelian Cuspidalizations of Proper Hyperbolic Curves. PDF PDF (LaTeX Version) NEW !!
(2007-06-06) Comments NEW !! (2013-05-24)
[16] The Geometry of Frobenioids I: The General Theory. PDF NEW !! (2008-06-11) Comments NEW !! (2013-07-17)
[17] The Geometry of Frobenioids II: Poly-Frobenioids. PDF NEW !! (2008-06-11) Comments NEW !! (2012-12-20)
[18] Global Solvably Closed Anabelian Geometry. PDF PDF (LaTeX Version) NEW !! (2006-07-14)
[19] The Etale Theta Function and its Frobenioid-theoretic Manifestations.
PDF NEW !! (2008-12-12) Comments NEW !!
(2013-07-17)
[20] The Algebraic and Anabelian Geometry of Configuration Spaces. PDF Comments NEW !! (2009-02-25)
[21] Topics in Absolute Anabelian Geometry I: Generalities. PDF NEW !! (2012-03-14)
[22] Topics in Absolute Anabelian Geometry II: Decomposition Groups and
Endomorphisms. PDF NEW !! (2013-04-12)
[23] Topics in Absolute Anabelian Geometry III: Global Reconstruction Algorithms.
PDF NEW !! (2013-07-31)
[24] On the Combinatorial Cuspidalization of Hyperbolic Curves. PDF Comments NEW !! (2011-04-01)
[25] On the Combinatorial Anabelian Geometry of Nodally Nondegenerate Outer
Representations. PDF NEW !! (2011-12-22)
Comments NEW !! (2012-10-25)
[26] Topics Surrounding the Combinatorial Anabelian Geometry of Hyperbolic
Curves I: Inertia Groups and
Profinite Dehn Twists. PDF NEW !! (2012-08-30) Comments NEW !! (2013-05-12)
[27] Topics Surrounding the Combinatorial Anabelian Geometry of Hyperbolic
Curves II: Tripods and
Combinatorial Cuspidalization. PDF NEW !! (2013-06-08)
[28] Topics Surrounding the Combinatorial Anabelian Geometry of Hyperbolic
Curves III: Tripods and
Tempered Fundamental Groups. PDF NEW !! (2013-02-20)
楕円曲線のHodge-Arakelov理論
[1] The Hodge-Arakelov Theory of Elliptic Curves: Global Discretization
of Local Hodge Theories. PDF
[2] The Scheme-Theoretic Theta Convolution. PDF
[3] Connections and Related Integral Structures on the Universal Extension
of an Elliptic Curve. PDF
[4] The Galois-Theoretic Kodaira-Spencer Morphism of an Elliptic Curve.
PDF
[5] The Hodge-Arakelov Theory of Elliptic Curves in Positive Characteristic.
PDF
[6] A Survey of the Hodge-Arakelov Theory of Elliptic Curves I. PDF Comments NEW !! (2012-10-18)
[7] A Survey of the Hodge-Arakelov Theory of Elliptic Curves II. PDF Comments NEW !! (2012-10-18)
[8] Anabelian Geometry in the Hodge-Arakelov Theory of Elliptic Curves.
PDF
宇宙際Teichmuller理論
[1] Inter-universal Teichmuller Theory I: Construction of Hodge Theaters.
PDF NEW !! (2013-07-31)
[2] Inter-universal Teichmuller Theory II: Hodge-Arakelov-theoretic Evaluation.
PDF NEW !! (2013-07-31)
[3] Inter-universal Teichmuller Theory III: Canonical Splittings of the
Log-theta-lattice. PDF NEW !! (2013-07-31)
[4] Inter-universal Teichmuller Theory IV: Log-volume Computations and
Set-theoretic Foundations. PDF
NEW !! (2013-07-31)
[5] A Panoramic Overview of Inter-universal Teichmuller Theory. PDF NEW !! (2013-03-26)
和文雑誌の論文
[1] 代数曲線の基本群に関するGrothendieck予想. PDF
[2] 基本群に映る双曲的代数曲線の構造. PDF
[3] 代数曲線に関するGrothendieck予想 --- p進幾何の視点から. PDF
[4] 連載ICM 98、部門別報告：整数論と数論幾何I. PDF
[5] モチーフ --- 代数多様体の数論的骨格 ---. PDF
[6] 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). PDF
講演のアブストラクト・レクチャーノート
[1] 実複素多様体のセクション予想と測地線の幾何. PDF
[2] p進Teichmuller理論. PDF
[3] Anabelioidの幾何学. PDF
[4] Anabelioidの幾何学とTeichmuller理論. PDF
[5] 離散付値環のalmost etale extensions（学生用のノート）. PDF
[6] 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）. PDF