is a Japanese

mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History On ...

known for his original work in the field of

Lie theory In mathematics, the mathematician Sophus Lie ( ) initiated lines of study involving integration of differential equations, transformation groups, and contact of spheres that have come to be called Lie theory. For instance, the latter subject is L ...

, and in particular for the theory of discontinuous groups (

lattice Lattice may refer to: Arts and design * Latticework, an ornamental criss-crossed framework, an arrangement of crossing laths or other thin strips of material * Lattice (music), an organized grid model of pitch ratios * Lattice (pastry), an orna ...

Lie groups In mathematics, a Lie group (pronounced ) is a group that is also a differentiable manifold. A manifold is a space that locally resembles Euclidean space, whereas groups define the abstract concept of a binary operation along with the additio ...

) and the application of geometric analysis to

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 studies modules over these abstract algebraic structures. In essen ...

. He was a major developer in particular of the theory of discontinuous groups for non-Riemannian

homogeneous spaces In mathematics, particularly in the theories of Lie groups, algebraic groups and topological groups, a homogeneous space for a group ''G'' is a non-empty manifold or topological space ''X'' on which ''G'' acts transitively. The elements of ...

and the theory of discrete breaking symmetry in

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(''g'') is a unitary operator for every ''g'' ∈ ''G''. The general theory is well-developed in case ''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 Tokyo , abbreviated as or UTokyo, is a public research university located in Bunkyō, Tokyo, Japan. Established in 1877, the university was the first Imperial University and is currently a Top Type university of the Top Global University Project by ...

*Assistant Professor, 1987–1991, Associate Professor, 1991–2001,

*Associate Professor, 2001–2003, RIMS,

Kyoto University , mottoeng = Freedom of academic culture , established = , type = National university, Public (National) , endowment = ¥ 316 billion (2.4 1000000000 (number), billion USD) , faculty = 3,480 (Teaching Staff) , administrative_staff ...

*Full Professor, 2003–2007, RIMS,

*Full Professor, 2007-,

*Principal Investigator, 2011-,

Kavli Kavli () is a Norwegian brand of soft cheese, caviar, mayonnaise, crackers and milk. The company sells products in 30 countries, with plants in Norway, Finland, Sweden, Denmark, England and Scotland. In 1914, Olav Kavli founded Kavli Holding ...

Institute for the Physics and Mathematics of the Universe ( IPMU) He has held many invited positions including

Institute for Advanced Study The Institute for Advanced Study (IAS), located in Princeton, New Jersey, in the United States, is an independent center for theoretical research and intellectual inquiry. It has served as the academic home of internationally preeminent scholar ...

in Princeton, USA (1991–1992),

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 half-year programs in specialized mathematical subjects. The Institute is run by the Royal Swe ...

, Sweden (1995–1996),

Université de Paris , image_name = Coat of arms of the University of Paris.svg , image_size = 150px , caption = Coat of Arms , latin_name = Universitas magistrorum et scholarium Parisiensis , motto = ''Hic et ubique terrarum'' (Latin) , mottoeng = Here and a ...

VI, France (1999),

Harvard University Harvard University is a private Ivy League research university in Cambridge, Massachusetts. Founded in 1636 as Harvard College and named for its first benefactor, the Puritan clergyman John Harvard, it is the oldest institution of higher le ...

, USA (2000–2001, 2008),

VII, France (2003), and

Max-Planck-Institut für Mathematik The Max Planck Institute for Mathematics (german: Max-Planck-Institut für Mathematik, MPIM) is a prestigious research institute located in Bonn, Germany. It is named in honor of the German physicist Max Planck and forms part of the 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 -

Osaka is a designated city in the Kansai region of Honshu in Japan. It is the capital of and most populous city in Osaka Prefecture, and the third most populous city in Japan, following Special wards of Tokyo and Yokohama. With a population of 2. ...

Science Prize * 2006/2007 - Sackler Distinguished Lecturer * 2007
JSPS Prize
The Japan Society for the Promotion of Science * 2008 -

The Humboldt Prize The Humboldt Prize, the Humboldt-Forschungspreis in German, also known as the Humboldt Research Award, is an award given by the Alexander von Humboldt Foundation of Germany to internationally renowned scientists and scholars who work outside of G ...

* 2011
Inoue Prize For Science
* 2014 - Medal with Purple Ribbon, Japan * 2015
JMSJ Outstanding Paper Prize
* 2017 class of

Fellow A fellow is a concept whose exact meaning depends on context. In learned or professional societies, it refers to a privileged member who is specially elected in recognition of their work and achievements. Within the context of higher education ...

s of the

American Mathematical Society The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, ...

"for contributions to the structure and representation theory of reductive Lie groups".2017 Class of the Fellows of the AMS

, retrieved 2016-11-06.

Selected publications

;Journal articles * * * ;Books * *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. . * * *

References

External links

* *
Publications
* {{DEFAULTSORT:Kobayashi, Toshiyuki 1962 births Living people Differential geometers 20th-century Japanese mathematicians 21st-century Japanese mathematicians University of Tokyo University of Tokyo alumni Academic staff of the University of Paris Harvard University staff People from Osaka Recipients of the Medal with Purple Ribbon Fellows of the American Mathematical Society