Course lectures

Graduate courses (1998- )

• 2025 winter: Complex Geometry and Representation Theory / Geometry and Topology XH, Graduate course at The University of Tokyo. [ full info ]
• 17-21 Feb 2025: Structure of Tempered Homogeneous Spaces. The thematic trimester "Representation Theory and Noncommutative Geometry". Institut Henri Poincaré, France. [ full info: lecture 1 | lecture 2 | lecture 3 ]
• 13-17 January 2025: Branching Problems and Symmetry-Breaking. The thematic trimester "Representation Theory and Noncommutative Geometry". Institut Henri Poincaré, France. [ full info ]
• 21-25 Oct 2024: Geometry and Analysis on Homogeneous Spaces. Intensive lectures at Hiroshima University. [ full info ]
• 2024 summer: Geometry and Topolpgy XF, Graduate course at The University of Tokyo. [ full info ]
• 2023 winter: Frontiers of Mathematical Sciences and Physics IV / Geometry and Topolpgy XE, Graduate course at The University of Tokyo. [ full info ]
• Analysis on Homogeneous Spaces. Mini Course at Noncommutative Geometry and Analysis on Homogeneous Spaces. Williamsburg, USA. 16-20 January 2023. [ full info ]
• Geometry XH / Lie algebras, 2022 winter, Undergraduate and graduate course at the University of Tokyo, Wednesdays. [ full info ]
• Mathematics XG / Frontiers of Mathematical Sciences and Physics VIII, 2021 spring, Undergraduate and graduate course at the University of Tokyo, Wednesdays. [ full info ]
• Mathematics XD / Frontiers of Mathematical Sciences and Physics IV, 2020 winter, Undergraduate and graduate course at the University of Tokyo, Wednesdays. [ full info ]
• Representations of Lie groups, Yale University, January-May 2019 [ full info ]
• Frontiers of Mathematical Sciences and Physics III, Undergraduate and graduate course at the University of Tokyo, 2019 winter, Wednesdays. [ full info ]
• Frontiers of Mathematical Sciences and Physics IV, Undergraduate and graduate course at the University of Tokyo, 2018 summer, Tuesdays.
• Frontiers of Mathematical Sciences and Physics III, Undergraduate and graduate course at the University of Tokyo, 2017, Tuesdays.
• Frontiers of Mathematical Sciences and Physics IV, Undergraduate and graduate course at the University of Tokyo, 2016, Tuesdays.
• Frontiers of Mathematical Sciences and Physics I, Undergraduate and graduate course at the University of Tokyo, 2015, Tuesdays.
• Frontiers of Mathematical Sciences and Physics III, Undergraduate and graduate course at the University of Tokyo, 2014 summer, Tuesdays.
• Geometry of Group Actions, Global Analysis / Geometry XG, Undergraduate and graduate course at the University of Tokyo, 2013 winter, Tuesdays.
• Geometry and Topology XG, Undergraduate and graduate course at the University of Tokyo, 2012 summer, Tuesdays.
• Introduction to Global Geometry/Geometry XE, Undergraduate and graduate course at the University of Tokyo, 2011 summer, Thursdays.
• Differential Geometry/Geometry XB, Undergraduate and graduate course at the University of Tokyo, 2010 winter, Tuesdays, 10:40-12:10.
• Introduction to Global Geometry/Geometry XE, Undergraduate and graduate course at the University of Tokyo, 2010 summer, Tuesdays, 10:40-12:10.
• Introduction to Global Geometry (901-12)/Geometry XE (5083), Undergraduate and graduate course at the University of Tokyo, Japan. 2009 winter.
• Lie Groups and Homogeneous Spaces. Graduate course at the University of Tokyo, Japan. 2008 winter.
• Multiplicity-Free Representations: Complex Geometric Methods in Representation Theory. Graduate course at Harvard University, USA. Spring term, 2008.
• Restriction of Representations to Reductive Subgroups. Graduate course (25 lectures) at Harvard University, USA. 2000-2001.
• Lie Groups and Lie Algebras. Graduate course at the Univerity of Tokyo, Japan. 2000.
• Discontinuous Groups for Homogeneous Spaces. Graduate course at the University of Tokyo, Japan. 2000.
• Conformal Geometry and Global Solutions to Yamabe Equations. Graduate course at the Univeristy of Tokyo, Japan. 1999-2000.
• Representation Theory. Graduate course at the University of Tokyo, Japan. 1998.
• Lie Groups and Lie Algebras. Graduate course at the University of Tokyo, Japan. 1998.

Undergraduate courses (1998- )

• Intro to Mathematical Sciences I (for non-science students), Undergraduate course at the University of Tokyo, 2024 winter.
• Mathematics XB: Mathematics of Symmetry. Undergraduate course at the University of Tokyo, 9 May 2023.
• Intro to Mathematical Sciences I (for non-science students), Undergraduate course at the University of Tokyo, 2023 spring, Thursdays.
• Intro to Mathematical Sciences I (for non-science students), Undergraduate course at the University of Tokyo, 2022 winter, Thursdays.
• Mathematics XB: Geometry of Discontinuous Groups and Global Analysis. Undergraduate course at the University of Tokyo, 22 June 2022.
• Mathematics XB: Geometry of Discontinuous Groups and Global Analysis. Undergraduate course at the University of Tokyo, 8 June 2021.
• Intro to Mathematical Sciences I (for non-science students), Undergraduate course at the University of Tokyo, 2021 spring, Thursdays.
• Intro to Mathematical Sciences I (for non-science students), Undergraduate course at the University of Tokyo, 2020 winter, Thursdays.
• Intro to Mathematical Sciences I (for non-science students), Undergraduate course at the University of Tokyo, 2019 winter, Thursdays.
• Intro to Mathematical Sciences I (for non-science students), Undergraduate course at the University of Tokyo, 2018 summer, Thursdays.
• Intro to Mathematical Sciences I (for non-science students), Undergraduate course at the University of Tokyo, 2017 winter, Thursdays.
• Mathematics XB: Symmetries and global analysis, Undergraduate course at the University of Tokyo, 19 July 2017.
• Intro to Mathematical Sciences I (for non-science students), Undergraduate course at the University of Tokyo, 2016 summer, Thursdays.
• Intro to Mathematical Sciences I (for non-science students), Undergraduate course at the University of Tokyo, 2015 summer, Thursdays.
• Mathematics XB: Geometry and Representation Theory, Undergraduate course at the University of Tokyo, 13 May 2015.
• Mathematics XB: Symmetries and global analysis, Undergraduate course at the University of Tokyo, 7 May 2014.
• Mathematics I (for non-science students), Undergraduate course at the University of Tokyo, 2014 summer, Wednesdays.
• Mathematics I (for non-science students), Undergraduate course at the University of Tokyo, 2013 winter, Wednesdays.
• Mathematics XB: Geometry of discontinuous groups, Undergraduate course at the University of Tokyo, 17 July 2012.
• Mathematics I (for non-science students), Undergraduate course at the University of Tokyo, 2012 summer, Wednesdays.
• Mathematics II (for non-science students), Undergraduate course at the University of Tokyo, 2011 winter, Wednesdays.
• Mathematics XB: Geometry of discontinuous groups, Undergraduate course at the University of Tokyo, 1 June 2011.
• Mathematics I (for non-science students), Undergraduate course at the University of Tokyo, 2011 summer, Wednesdays.
• Mathematics XA, Undergraduate text seminar at the University of Tokyo, Japan, 2011, Wednesdays.
• Mathematics II, Undergraduate course at the University of Tokyo. 2010, Thursdays, 9:00-10:30.
• Mathematics XA, Undergraduate text seminar at the University of Tokyo, Japan, 2010, Wednesdays, 16:50-19:30.
• Mathematics II (for non-science students), Undergraduate course at the University of Tokyo, 2010 winter, Wednesdays, 9:00-10:30.
• Mathematics II (for non-science students), Undergraduate course at the University of Tokyo, 2010 summer, Wednesdays, 9:00-10:30.
• Mathematics XA, Undergraduate text seminar at the University of Tokyo, Japan. 2009 winter.
• Mathematics II (for non-science students), Undergraduate course at the University of Tokyo, Japan. 2009 winter.
• Mathematics II (for science students), Undergraduate course at the University of Tokyo, Japan. 2009 winter.
• Mathematical Sciences II (for non-science students), Undergraduate course at the University of Tokyo, Japan. 2009 winter.
• Mathematics IB (for science students). Undergraduate course at the University of Tokyo, Japan. 2008 winter.
• Mathematics II (for non-science students). Undergraduate course at the University of Tokyo, Japan. 2008 winter.
• Introduction to Modern Mathematics (for non-science students). Undergraduate course at the University of Tokyo, Japan. 2007 winter.
• Linear Algebra (for non-science students). Undergraduate course at the University of Tokyo, Japan. 2000.
• Geometric structures on Surfaces. Undergraduate seminar at the University of Tokyo, Japan. 2000.
• Semisimple Lie groups. Undergraduate seminar at the University of Tokyo, Japan. 1999-2000.
• Linear Algebra (for science students). Undergraduate course at the University of Tokyo, Japan. 1999-2000.
• Hyperbolic Geometry. Undergraduate seminar at the University of Tokyo, Japan. 1999-2000.
• Topology from Differential View Point. Undergraduate seminar at the University of Tokyo, Japan. 1999.
• Linear Algebra (for non-science students). Undergraduate course at the University of Tokyo, Japan. 1999.
• Non-abelian Harmonic Analysis. Undergraduate seminar at the University of Tokyo, Japan. 1998-1999.
• Hyperbolic Geometry. Undergraduate seminar at the University of Tokyo, Japan. 1998-1999.
• Linear Algebra. Undergraduate course at the University of Tokyo, Japan. 1998.

Spring/Summer/Winter schools and other course lectures

• Geometry for discontinuous groups and global analysis (Mathematics XB), Graduate course at The University of Tokyo, 19 May 2020.
• Introduction to representation theory of real reductive Lie groups and branching problems (5 lectures, opening). The 2nd International Undergraduate Mathematics Summer School. The University of Tokyo, July 29 - August 9, 2019. [ full info ]
• The International Undergraduate Mathematics Summer School, 29 July-2 August 2019.
• Noncommutative Harmonic Analysis and Representation Theory (Mathematics XB). Graduate course at the University of Tokyo, 3 July 2019.
• Symmetry Breaking Operators: General Theory and Concrete Construction for Reductive Groups (2 lectures, opening). Summer School: Representation Theory of Lie Groups, Mathematical Physics, and Dynamical Systems. Université de Reims, France, 24-29 June 2019.
• Mathematics of Symmetry. Graduate course (2 lectures) at the University of Tokyo, 14 & 21 June 2018.
• Symmetries and Global Analysis (Mathematics XB). Graduate course at the University of Tokyo, 9 May 2018.
• Symmetries and Global Geometry (Mathematics XB). Graduate course at the University of Tokyo, 19 July 2017 .
• Infinite Dimensional Representations of Lie Groups (series lectures), Kyushu Univeristy, 13-16 January 2015.
• Group Actions and Representation Theory of Lie Groups: Visible Actions and Multiplicity-free Representations on Complex Manifolds (4 lectures), Tohoku University, 16-19 December 2014.
• Visible Actions and Multiplicity-free Representations (5 lectures). XVIth International Conference on Geometry, Integrability and Quantization. Varna, Bulgaria [ full info ]
• Geometry of Symmetry, Present, Past and Future of Mathematics (relay lectures). The University of Tokyo. 4, 11 July 2011.
• From Global to Local—The World of Lie Groups and Discontinuous Groups, Mathematics XB, the University of Tokyo, Japan, 12 May 2010. [ full info ]
• Visible Actions and Multiplicity-free Representations (3 lectures), The 30th Winter School on Geometry and Physics. Srni, Czech, January 2010. [ full info ]
• Lie Groups and Representation Theory. Mathematics XB, the University of Tokyo, Japan. May, 2009.
• Visible Actions and Multiplicity-free Representations. Summer School (4 lectures), Functional Analysis X: Representation Theory, Dubrovnik, Croatia, June-July 2008.
• Mathematics of Symmetry. Graduate course (2 lectures) at the University of Tokyo, Japan. November 2007.
• Topics on Discontinuous Groups. Graduate course (5 lectures) at Nagoya University, Japan. January-February 2007.
• Clifford-Klein Forms of Non-Riemannian Homogeneous Spaces. (course lectures), International Conference and Instructional Workshop: Geometry Topology, Analysis of Locally Symmetric Spaces and Discrete Groups, Beijing, China. July-August 2006.
• Unitary Representations, Restrictions, and their Applications. Summer School (course lectures), Günzburg, Germany. July 2006.
• Topics on Unitary Representation Theory by Complex Analytic Methods. Graduate course (5 lectures) at the University of Tokyo, Japan. May 2006.
• Group Actions and Representations of Lie Groups. Graduate course (5 lectures) at Hiroshima University, Japan. April 2006.
• Multiplicity-free Representations and Visible Actions on Complex Manifolds. Summer School (3 lectures), Tambara, Japan. August 2005.
• Visible Actions and Multiplicity-Free Representations. Graduate course (4 lectures) at Osaka City University, Japan. January-February 2005.
• Visible Actions and Multiplicity-Free Representations. Graduate course (5 lectures) at the University of Tokyo, Japan. January 2004.
• Discontinuous Groups on non-Riemannian Homogeneous Spaces. Graduate course at Tokyo Institute of Technology, Japan. December 2003.
• Restriction of Unitary Representations. Graduate course (5 lectures) at the University of Tokyo, Japan. June 2002.
• Conformal Geometry and Analysis on Minimal Representations. Winter School on Geometry and Physics (3 plenary lectures), Srni, Czech Republic. January 2002.
• Multiplicity-free Branching Theorem. Graduate course (3 lectures) at the University of Tokyo, Japan. December 2001.
• Branching Problems and Unitary Representations. European School on Group Theory (8 lectures), Denmark. August 2000.
• Geometric Structures on Homogeneous Spaces and Discontinuous Groups. Graduate course (5 lectures) at Hokkaido University, Japan. November 1999.
• Restriction Theory of Unitary Representations. Summer School (4 lectures), Yonsei University, Korea. July 1999.
• Unitary Highest Weight Modules and Multiplicity-free Branching Laws. Graduate course at Nagoya University, Japan. January 1999.
• Unitary Highest Weight Modules and Multiplicity Free Branching Laws. Graduate course (3 lectures) at the University of Tokyo, Japan. January 1998.
• Discontinuous Groups for Homogeneous Spaces and Non-Riemannian Geometry. Graduate course (4 lectures) at Kyoto University, Japan. June 1995.
• Properly Discontinuous Actions on Homogeneous Spaces, and Clifford-Klein Forms. Surveys in Lie Groups and Representation Theory (series lectures), the University of Tokyo, Japan. December 1994.
• Discontinuous Groups Acting on Homogeneous Spaces. European School on Group Theory (4 lectures), Denmark. August 1994.
• Convex Domains and Fourier Transform on a Space of Constant Curvature. Spring School on Invariant Differential Operators on Lie Groups and Homogeneous Spaces (CIMPA-UNESCO School cosponsored by China and the France Mathematics Centre) (12 lectures), Wuhan University, China. April-May 1991.

© Toshiyuki Kobayashi