Toshiyuki Kobayashi
Encyclopedia
is a Japan
ese mathematician
known for his original work in the field of Lie theory
, and in
particular for the
theory of discontinuous groups
(lattice
in Lie groups)
and the application of geometric analysis to representation theory
. He was a major developer in
particular of the theory of discontinuous groups for
non-Riemannian homogeneous spaces and
the theory of discrete breaking symmetry in unitary representation
theory.
He has been a member of the Science Council of Japan since 2006,
Board of Trustees of the Mathematical Society of Japan (2003–2007),
the Editor in Chief of the Journal of the Mathematical Society of Japan
(2002–2006), and currently is the Managing Editor of the Japanese Journal of
Mathematics since 2006.
He has held many invited positions including Institute for Advanced Study
in Princeton, USA (1991–1992),
Mittag-Leffler Institute
, Sweden (1995–1996), Université de Paris, Université de Paris VI, France (1999), Harvard University
, USA (2000–2001, 2008), Université de Paris VII, France
(2003), and Max-Planck-Institut für Mathematik
in Bonn, Germany (2007).
Japan
Japan is an island nation in East Asia. Located in the Pacific Ocean, it lies to the east of the Sea of Japan, China, North Korea, South Korea and Russia, stretching from the Sea of Okhotsk in the north to the East China Sea and Taiwan in the south...
ese mathematician
Mathematician
A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....
known for his original work in the field of Lie theory
Lie theory
Lie theory is an area of mathematics, developed initially by Sophus Lie.Early expressions of Lie theory are found in books composed by Lie with Friedrich Engel and Georg Scheffers from 1888 to 1896....
, and in
particular for the
theory of discontinuous groups
(lattice
Lattice (group)
In mathematics, especially in geometry and group theory, a lattice in Rn is a discrete subgroup of Rn which spans the real vector space Rn. Every lattice in Rn can be generated from a basis for the vector space by forming all linear combinations with integer coefficients...
in Lie groups)
and the application of geometric analysis to representation theory
Representation theory
Representation theory is a branch of mathematics that studies abstract algebraic structures by representing their elements as linear transformations of vector spaces, and studiesmodules over these abstract algebraic structures...
. He was a major developer in
particular of the theory of discontinuous groups for
non-Riemannian homogeneous spaces and
the theory of discrete breaking symmetry in unitary representation
Unitary representation
In mathematics, a unitary representation of a group G is a linear representation π of G on a complex Hilbert space V such that π is a unitary operator for every g ∈ G...
theory.
He has been a member of the Science Council of Japan since 2006,
Board of Trustees of the Mathematical Society of Japan (2003–2007),
the Editor in Chief of the Journal of the Mathematical Society of Japan
(2002–2006), and currently is the Managing Editor of the Japanese Journal of
Mathematics since 2006.
Academic career
- Ph.D./Doctor of Science, 1990, University of TokyoUniversity of Tokyo, abbreviated as , is a major research university located in Tokyo, Japan. The University has 10 faculties with a total of around 30,000 students, 2,100 of whom are foreign. Its five campuses are in Hongō, Komaba, Kashiwa, Shirokane and Nakano. It is considered to be the most prestigious university...
- Assistant Professor, 1987–1991, Associate Professor, 1991–2001, University of TokyoUniversity of Tokyo, abbreviated as , is a major research university located in Tokyo, Japan. The University has 10 faculties with a total of around 30,000 students, 2,100 of whom are foreign. Its five campuses are in Hongō, Komaba, Kashiwa, Shirokane and Nakano. It is considered to be the most prestigious university...
- Associate Professor, 2001–2003, RIMSResearch Institute for Mathematical SciencesThe is a research institute attached to Kyoto University, hosting researchers in the mathematical sciences from all over Japan. The institute is often abbreviated as RIMS...
, Kyoto UniversityKyoto University, or is a national university located in Kyoto, Japan. It is the second oldest Japanese university, and formerly one of Japan's Imperial Universities.- History :... - Full Professor, 2003–2007, RIMSResearch Institute for Mathematical SciencesThe is a research institute attached to Kyoto University, hosting researchers in the mathematical sciences from all over Japan. The institute is often abbreviated as RIMS...
, Kyoto UniversityKyoto University, or is a national university located in Kyoto, Japan. It is the second oldest Japanese university, and formerly one of Japan's Imperial Universities.- History :... - Full Professor, 2007-, University of TokyoUniversity of Tokyo, abbreviated as , is a major research university located in Tokyo, Japan. The University has 10 faculties with a total of around 30,000 students, 2,100 of whom are foreign. Its five campuses are in Hongō, Komaba, Kashiwa, Shirokane and Nakano. It is considered to be the most prestigious university...
He has held many invited positions including Institute for Advanced Study
Institute for Advanced Study
The Institute for Advanced Study, located in Princeton, New Jersey, United States, is an independent postgraduate center for theoretical research and intellectual inquiry. It was founded in 1930 by Abraham Flexner...
in Princeton, USA (1991–1992),
Mittag-Leffler Institute
Mittag-Leffler Institute
The Mittag-Leffler Institute is a mathematical research institute located in Djursholm, a suburb of Stockholm. It invites scholars to participate in year-long or half-year programs in specialized mathematical subjects...
, Sweden (1995–1996), Université de Paris, Université de Paris VI, France (1999), Harvard University
Harvard University
Harvard University is a private Ivy League university located in Cambridge, Massachusetts, United States, established in 1636 by the Massachusetts legislature. Harvard is the oldest institution of higher learning in the United States and the first corporation chartered in the country...
, USA (2000–2001, 2008), Université de Paris VII, France
(2003), and Max-Planck-Institut für Mathematik
Max-Planck-Institut für Mathematik
The Max-Planck-Institut für Mathematik is a mathematical research institute located in Bonn, Germany. It is named in honour of the German physicist Max Planck...
in Bonn, Germany (2007).
Awards and honors
- 1997 - Takebe Prize, The Mathematical Society of Japan
- 1999 - Spring Prize, The Mathematical Society of Japan
- 2006 - OsakaOsakais a city in the Kansai region of Japan's main island of Honshu, a designated city under the Local Autonomy Law, the capital city of Osaka Prefecture and also the biggest part of Keihanshin area, which is represented by three major cities of Japan, Kyoto, Osaka and Kobe...
Science Prize - 2006/2007 - Sackler Distinguished LecturerSackler Distinguished LecturesThe Sackler Distinguished Lectures are en endowed annual lecture series, bringing an outstanding mathematician to Israel every year. The lectures are given Tel Aviv University. They are supported by Raymond R. Sackler The Sackler Distinguished Lectures are en endowed annual lecture series, bringing...
- 2007 - JSPS Prize, The Japan Society for the Promotion of Science
- 2008 - The Humboldt PrizeThe Humboldt PrizeThe Humboldt Prize, also known as the Humboldt Research Award, is an award given by the Alexander von Humboldt Foundation to internationally renowned scientists and scholars, and is currently valued at € 60,000 with the possibility of further support during the prize winner's life. Up to one...
Selected publications
- Kobayashi, T. Discontinuous groups for non-Riemannian homogeneous spaces. In: B. Engquist and W. Schmid, editors, Mathematics Unlimited - 2001 and Beyond, pages 723-747. Springer-Verlag, 2001. ISBN 3-540-66913-2.
External links
- Home page for Toshiyuki Kobayashi