- 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.*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.

*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.*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