Japanese page is HERE.
Last modified on March 8, 2007.
Yoshinobu Kamishima
Tokyo Metropolitan University Department of Mathematics
Address : 1 - 1 Minami-Ohsawa, Hachioji-shi, Tokyo, 192-0397 Japan
Phone: +81 0246 77 1111
Email: kami (insert @) comp.metro-u.ac.jp
Summary of Department of Mathematics at TMU (by Guest Martin)
The Division of Mathematical Sciences offers a comprehensive program in
mathematics (covering the basic fields of algebra, geometry, and analysis
together with their applications), as well as a program in mathematical
information science (focusing on discrete mathematics, computer languages,
and applications such as cryptography). In addition to the collection of
the central library, the mathematics library has an extensive collection of
specialized books and journals. Up to date computer facilities are also
maintained by the department. This excellent study environment is supported
by a system of faculty office hours and a "math clinic" where students can
ask questions and receive advice. Faculty members are active researchers in
their own fields, and all students have the opportunity to make contact with
current research problems in mathematics and information science by taking
part in seminars.
The training provided by these programs equips students for any career which
requires rigorous quantitative and conceptual analysis, or for further study
and research in graduate school.
The Department has 22 permanent faculty members, together with several
research assistants and short term visitors. There are generally around 65
graduate students including several foreign students. The graduate program
(master's course and doctoral course) is available for suitably qualified
students who have completed their undergraduate (or master's course) studies;
entrance examinations for the master's course are offered in September and
February, while those for the doctoral course are held in January.
Current information on the faculty can be found at
http://www.sci.metro-u.ac.jp/math/people/mathnew_ann.html
Formally the faculty members are divided into three groups, corresponding to
Pure Mathematics, Applied Mathematics and Information Sciences, although in
practice the differences are blurred and cross-boundary work is encouraged.
Students pursue their studies and research under the close supervision of a
faculty member, and must attend a program of lectures and seminars. The
relatively small size of the Department permits a friendly and supportive
atmosphere. However, students have easy access to a very wide range of
research seminars and international conferences which are held frequently
at this and other universities in the Tokyo area. To provide a suitable
environment for high-level study and research, the Department has a very
good library (34,000 books, 23,000 journal volumes, as well as electronic
subscriptions to most major journals) and excellent computer facilities.
Scholarships are offered to most doctoral students and to selected
students in the master's course. There is also a TA system which offers a
small amount of additional financial support. Graduates of the master's
program have a very wide range of career opportunities in industry or
the public sector; graduates of the doctoral course mainly go on to
educational or research institutions or follow specialized careers such
as mathematical finance.
My Profile and Current Data
Research Fields: Topology and Geometry. Various Geometric Structures on Manifolds.
I am mainly interested in the space form problems invarinat under
transformation groups;
(i) Actions on manifolds and representations of fundamental groups.
(ii) Geometric structures on manifolds, construction of geometric invariant
tensor and uniformization of its vanishing.More precisely,
(1) Smooth (finite group) actions on homotopy spheres.
(2) Compact aspherical space form problems (Properly discontinuous actions of
infinite groups on contractible manifolds, Smooth rigidity on compact smooth
aspherical manifolds.)
(3) Rigidity and global geometric flow on compact smooth manifolds;
Flat affine flow, Lorentz flow, Conformal flow, CR-flow, Quaternionic CR flow,
Locally conformal Kaehler flow. Complex contact flow.
Date of birth
December 8th, 1951 (Hokkaido, Japan)
Academic degrees
March 1974: Diploma in Mathematics (Hokkaido University)
March 1976: Master degree of Science (Mathematics, Hokkaido University)
April 1981: Doctor of Science (Mathematics, Hokkaido University)
Employment
September 1977 -- March 1978: Research fellow at Research Institute Mathematical Sciences at
Kyoto University
July 1979 -- August 1984: Assistant professor at Hokkaido University,
Department of Mathematics
September 1984 -- August 1999: Lecturer at Hokkaido University,
Department of Mathematics
September 1989 -- March 1999: Associate professor at Kumamoto University,
Department of Mathematics
April 1999 -- Professor at Tokyo Metroplitan University, Department of
Mathematics and Information Sciences
Publications: List of Publications
-
(with T. Udono)
Three dimensional Lie group actions on compact $(4n+3)$-dimensional geometric
manifolds,
Differential Geometry and its Applications, 21, 1--26, 2004.
-
(with D. Alekseevsky)
Quaternionic and para-quaternionic CR structure on (4n+3)-dimensional
manifolds, Central European J. of Mathematics (electronic) 2(5), 732--753, 2004.
-
(with L. Ornea)
Geometric flow on compact locally conformally Kaeahler manifolds, Tohoku Math.
J. 57, 201-221, 2005.
-
Corrigendum to Uniformization of Kaehler manifolds with vanishing Bochner
tensor, Acta Math. 195 (2005), 265--266.
-
Cusp cross-sections of hyperbolic orbifolds by Heisenberg nilmanifolds I,
Heisenberg Nilmanifolds I,
to appear in Geom. Dedicata, 2006 (Published online: 16 June 2006).
-
Heisenberg, Spherical CR geometry and Bochner flat locally conformal
Kaehler manifolds, International Journal of Geometric Methods in Modern
Physics, Vol. 3, Nos. 5-6 (2006) 1089-1116.
Proceedings of the International Congress on Symmetry in Geometry and Physics
in honour of Dmitri V. Alekseevsky (Rome, Italy, 14 to 17 September 2005).
-
Nonexistence of cusp cross-section of one-cusped complete complex hyperbolic manifolds II,
to appear in International Mathematical Forum.
http://arxiv.org/abs/math.AT/0603726.
Preprints/Notes 2001-07(available as pdf.file.)
(2002): Heisenberg CR geometry and Bochner flat locally conformal K\"ahler
manifolds (Classification of Noncompact case I). (Introduction is written
in Japanese; prepared for the Summer Workshop of 2002 Japan Differential
geometry.)
(2003): Quaternionic Carnot-Carath\'eodory structure on manifolds in dimension
$4n+3$.
(2004): (With Dmitri Alekseevsky) Quaternionic $CR$-structure on $(4n+3)$-
manifolds and its geometric realization.
(2004): Classification of Bochner flat Kaehler manifolds by@Heisenberg,
Spherical CR geometry, (ESI preprint series No. 1779).
(2005): (with Dmitri Alekseevsky) Pseudo-conformal quaternionic CR structures, (ESI preprint series, No. 1780 ). (2005): (with Oliver Baues) Smooth Rigidity of Aspherical Homogeneous manifolds.
(2006 Fall Semester:) Notes on Transformation groups of Complex hyperbolic
spaces (in Japanese)
(2007): (Survey) Nondegenerate conformal, CR, Quaternionic CR structure
on manifolds
Kamishima Family (Photo)