Course lectures
Graduate courses (1998 )
 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. 1620 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, JanuaryMay 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, 10:4012:10.

Introduction to Global Geometry/Geometry XE, Undergraduate and graduate course at the University of Tokyo, 2010 summer, Tuesdays, 10:4012:10.
 Introduction to Global Geometry (90112)/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.
 MultiplicityFree 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. 20002001.
 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. 19992000.
 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 )
 Mathematics XB: Mathematics of Symmetry. Undergraduate course at the University of Tokyo, 9 May 2023.
 Intro to Mathematical Sciences I (for nonscience students), Undergraduate course at the University of Tokyo, 2023 spring, Thursdays.
 Intro to Mathematical Sciences I (for nonscience 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 nonscience students), Undergraduate course at the University of Tokyo, 2021 spring, Thursdays.
 Intro to Mathematical Sciences I (for nonscience students), Undergraduate course at the University of Tokyo, 2020 winter, Thursdays.
 Intro to Mathematical Sciences I (for nonscience students), Undergraduate course at the University of Tokyo, 2019 winter, Thursdays.
 Intro to Mathematical Sciences I (for nonscience students), Undergraduate course at the University of Tokyo, 2018 summer, Thursdays.
 Intro to Mathematical Sciences I (for nonscience 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 nonscience students), Undergraduate course at the University of Tokyo, 2016 summer, Thursdays.
 Intro to Mathematical Sciences I (for nonscience 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 nonscience students), Undergraduate course at the University of Tokyo, 2014 summer, Wednesdays.
 Mathematics I (for nonscience 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 nonscience students), Undergraduate course at the University of Tokyo, 2012 summer, Wednesdays.
 Mathematics II (for nonscience 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 nonscience 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, 9:0010:30.

Mathematics XA, Undergraduate text seminar at the University of Tokyo, Japan, 2010, Wednesdays, 16:5019:30.

Mathematics II (for nonscience students), Undergraduate course at the University of Tokyo, 2010 winter, Wednesdays, 9:0010:30.

Mathematics II (for nonscience students), Undergraduate course at the University of Tokyo, 2010 summer, Wednesdays, 9:0010:30.
 Mathematics XA, Undergraduate text seminar at the University of Tokyo, Japan. 2009 winter.
 Mathematics II (for nonscience 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 nonscience 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 nonscience students). Undergraduate course at the University of Tokyo, Japan. 2008 winter.
 Introduction to Modern Mathematics (for nonscience students). Undergraduate course at the University of Tokyo, Japan. 2007 winter.
 Linear Algebra (for nonscience 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. 19992000.
 Linear Algebra (for science students). Undergraduate course at the
University of Tokyo, Japan. 19992000.
 Hyperbolic Geometry. Undergraduate seminar at the University of
Tokyo, Japan. 19992000.
 Topology from Differential View Point. Undergraduate seminar at the
University of Tokyo, Japan. 1999.
 Linear Algebra (for nonscience students). Undergraduate course at
the University of Tokyo, Japan. 1999.
 Nonabelian Harmonic Analysis. Undergraduate seminar at the University
of Tokyo, Japan. 19981999.
 Hyperbolic Geometry. Undergraduate seminar at the University of
Tokyo, Japan. 19981999.
 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 July2 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, 2429 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, 1316 January 2015.
 Group Actions and Representation Theory of Lie Groups: Visible Actions and Multiplicityfree Representations on Complex Manifolds (4 lectures), Tohoku University, 1619 December 2014.
 Visible Actions and Multiplicityfree 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 Multiplicityfree 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 Multiplicityfree Representations.
Summer School (4 lectures), Functional Analysis X: Representation Theory, Dubrovnik, Croatia, JuneJuly 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. JanuaryFebruary 2007.
 CliffordKlein Forms of NonRiemannian Homogeneous Spaces.
(course lectures), International Conference and Instructional Workshop:
Geometry Topology, Analysis of Locally Symmetric Spaces and
Discrete Groups, Beijing, China. JulyAugust 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.
 Multiplicityfree Representations and Visible Actions on Complex Manifolds. Summer School
(3 lectures), Tambara, Japan. August 2005.
 Visible Actions and MultiplicityFree Representations. Graduate course
(4 lectures) at Osaka City University, Japan. JanuaryFebruary 2005.
 Visible Actions and MultiplicityFree Representations. Graduate course
(5 lectures) at the University of Tokyo, Japan. January 2004.
 Discontinuous Groups on nonRiemannian 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.
 Multiplicityfree 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 Multiplicityfree 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 NonRiemannian
Geometry. Graduate course (4 lectures) at Kyoto University, Japan.
June 1995.
 Properly Discontinuous Actions on Homogeneous Spaces, and CliffordKlein 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 (CIMPAUNESCO School cosponsored by
China and the France Mathematics Centre) (12 lectures), Wuhan University,
China. AprilMay 1991.
© Toshiyuki Kobayashi