[1] The Intrinsic Hodge Theory of p-adic Hyperbolic Curves
(Oberwolfach 1996-07). PDF
[2] The Intrinsic Hodge Theory of p-adic Hyperbolic Curves (ICM 98). PDF
[3] The Intrinsic Hodge Theory of p-adic Hyperbolic Curves (Nara 1998-12). PDF
[4] The Hodge-Arakelov Theory of Elliptic Curves (Berkeley 1999-09). PDF
[5] The Hodge-Arakelov Theory of Elliptic Curves (Utrecht 2000-06). PDF
[6] The Hodge-Arakelov Theory of Elliptic Curves (Hotaka 2000-07). PDF
[7] A Brief Introduction to Inter-universal Geometry (Tokyo 2004-01). PDF
[8] Categorical Representation of Arithmetic Log Schemes – with Applications
to the Arithmetic of
Elliptic Curves (Tokyo 2004-02). PDF
[9] Anabelian Geometry from an Inter-universal Point of View (RIMS Kyoto
2004-09). PDF
[10] Absolute Anabelian Cuspidalizations (RIMS Kyoto 2005-02). PDF
[11] Tempered Anabelian Geometry (Hiroshima 2005-02). PDF
[12] A Brief Survey of the Geometry of Categories (Okayama 2005-05). PDF
[13] Inter-universal Hodge-Arakelov Theory (RIMS Kyoto 2005-12). PDF
[14] A Survey of Absolute p-adic Anabelian Geometry (RIMS Kyoto 2006-11).
PDF
[15] Inter-universal Teichmuller Theory: a Progress Report (RIMS Kyoto
2010-10). Abstract PDF
[16] Invitation to Inter-universal Teichmuller Theory (RIMS Kyoto 2012-12).
PDF
[17] Invitation to Inter-universal Teichmuller Theory (Expanded Version)
(Tokyo 2013-06). PDF
[18] Invitation to Inter-universal Teichmuller Theory (Three Hour Version)
(RIMS Kyoto 2014-02). PDF
[19] Invitation to Inter-universal Teichmuller Theory (2+2 Hour Version)
(Kumamoto 2014-05). PDF
[20] Invitation to Inter-universal Teichmuller Theory (2015-02) (RIMS Kyoto
2015-02). PDF
[21] Classical Roots of Inter-universal Teichmuller Theory (Berkeley Colloquium
(Zoom) 2020-11).
Abstract PDF
[22] The Technique of Tripodal Transport in Arithmetic Geometry I, II
(Foundations and Perspectives of
Anabelian Geometry (Zoom) 2021-06) Lecture notes (adapted from Section 3.10 of [Alien])
Lecture Notes (marked up version) Microsoft Whiteboard Image
[23] Overview of Combinatorial Anabelian Geometry I, II, III (Combinatorial
Anabelian Geometry and
Related Topics (Zoom) 2021-07) Lecture notes Lecture notes (marked up version)
Microsoft Whiteboard Image
[24] On the essential logical structure of inter-universal Teichmuller
theory I, II, III, IV, V (Invitation to
Inter-universal Teichmuller Theory (Zoom) 2021-09 + Inter-universal
Teichmuller Theory Summit
2021 (Zoom) 2021-09)
Lecture notes Lecture notes (marked up version for I, II, III)
Lecture notes (marked up version for IV, V) Classical roots of inter-universal Teichmuller theory
Classical roots of inter-universal Teichmuller theory (marked up version)
[25] On the logical structure of inter-universal Teichmuller theory I, II, III ("Algebraic Number Theory and
Related Topics" (Zoom) 2021-12-13〜14)
Lecture notes Lecture notes (marked up version for I, II, III)
Classical roots of inter-universal Teichmuller theory
Classical roots of inter-universal Teichmuller theory (marked up version)
[26] Inter-universal Teichmuller Theory as an Anabelian Gateway to Diophantine
Geometry and Analytic
Number Theory ("Arithmetic & Homotopic Galois Theory 2023"
(Zoom) 2023-03-22) Lecture Notes
[27] Inter-universal Teichmuller Theory as an Anabelian Gateway to Diophantine
Geometry and Analytic
Number Theory (MFO-RIMS Tandem Workshop "Arithmetic Homotopic &
Galois Theory" (Zoom) 2023-09-27)
Lecture Notes
[28] Inter-universal Teichmuller Theory as an Anabelian Gateway to Diophantine
Geometry and Analytic
Number Theory (IUGC Conference 2024-04-02) Lecture Notes
[29] Inter-universal Teichmuller Theory as an Anabelian Gateway to Diophantine
Geometry and Analytic
Number Theory (IUT Summit 2025 2025-03-17) Lecture Notes
[30] Teichmuller Dilations of Varying Hues: from complex Teichmuller theory
to IUT to GT (Recent
Advances in Anabelian Geometry and Related Topics 2025-04-29) Lecture Notes
Lecture Notes (marked up version)