Academic Organization | Academic Assembly School of Science and Technology Institute of Science | TEL | ||
---|---|---|---|---|

Education and Research Organization | Faculty of Science Department of Mathematics | FAX | ||

Position | Professor | Mail Address | ||

Address | Web site | http://marine.shinshu-u.ac.jp/~kuri/home.html |

Modified:07/29/2019

- Assigned Class
- Graduate School, Division of Science and Technology

Interdisciplinary Graduate School of Science and Technology

- Current Subject
- Algebraic models for topological spaces, Topology of mapping spaces, String topology

Keywords:mapping spaces, Hochschild (co)homology, operads, triangulated categories,model categories

- Academic Background
**Graduate School**

Kyoto University , (Mathematics , Graduate School, Division of Science) , 1991

Shinshu University , (Mathematics , Graduate School, Division of Natural Science) , 1988**College**

Shinshu University , (Faculty of Science) , 1986

- Research Career
**Research Career**

2014-

2005-2014 , Shinshu University, Faculty of Science Professor

2004-2005 , Shinshu University, Faculty of Science Associate Professor

1999-2004 , Okayama University of Science, Faculty of Science Associate Professor

1995-1999 , Okayama University of Science, Faculty of Science

1991-1995 , Gunma National College of Technology,

- Books, Articles, etc.
**Articles**

The Batalin-Vilkovisky algebra in the string topology of classifying spaces

Canadian Journal of Mathematics,71:843-889 2019

Author:Katsuhiko Kuribayashi and Luc Menichi

A topos associated with a colored category

Journal of Combinatorial Theory, Series A,(156):142--163 2018

Author:Katsuhiko Kuribayashi and Yasuhide Numata

On the category of stratifolds

Cahiers de Topologie et Géometrie Differentielle Catégoriques.,58:131–160 2017

Author:Toshiki Aoki and Katsuhiko Kuribayashi

The ghost length and duality between chain and cochain type levels

Homology, Homotopy and Applications,18:107-132. 2016(Aug. 11)

Author:Katsuhiko Kuribayashi

On Mitchell's embedding theorem for a quasi-schemoid

Journal of Algebra,456:222-248 2016

Author:Katsuhiko Kuribayashi and Yasuhiro Momose

Derived string topology and the Eilenberg-Moore spectral sequence

Israel Journal of Mathematics,209:745-802 2015

Author:Katsuhiko Kuribayashi, Luc Menichi and Takahito Naito

Association schemoids and their categories

Applied Categorical Structures,23:107-136 2015

Author:Katsuhiko Kuribayashi and Kentaro Matsuo

On strong homotopy for quasi-schemoids

Theory and Applications of Categories,30:1-14 2015

Author:Katsuhiko Kuribayashi

Behavior of the Eilenberg-Moorespectral sequence in derived string topology

Topology and its Applications,164:24-44 2014

Author:Katsuhiko Kuribayashi, Luc Menichi and Takahito Naito

Upper and lower bounds of the (co)chain type level of a space

Algebras and Representation Theory,16:129-153 2013

Author:Katsuhiko Kuribayashi

On the levels of maps and topological realization of objects in a triangulated category

J. Pure and Appl. Algebra,216(4):752-765 2012

Author:Katsuhiko Kuribayashi

The Hochschild cohomology ring of the singular cochain algebra of a space

Annales de l'Institut Fourier,61(5):1381-1407 2011

Author:Katsuhiko Kuribayashi

On extensions of a symplectic class

Differential Geometry and its Applications,29:801-815 2011

Author:Katsuhiko Kuribayashi

Rational visibility of a Lie group in the monoid of self-homotopy equivalences of a homogeneous space

Homology, Homotopy and Applications,13:349-379 2011

Author:Katsuhiko Kuribayashi

On the rational cohomology of the total space of the universal fibration withanelliptic fibre

Contemporary Math.,519:165-179 2010

Author:Katsuhiko Kuribayashi

A function space model approach to the rational evaluationsubgroups

Math. Z,258(3):521-555 2008

Author:Yoshihiro Hirato, Katsuhiko Kuribayashi, Nobuyuki Oda

An operadic model for a mapping space and its associated spectral sequence

J. Pure and Appl. Algebra,210(2):321-342 2007

Author:David Chataur, Katsuhiko Kuribayashi

Iterated cyclic homology

Kodai Mathematical Journal,30(1):19-40 2007

Author:Katsuhiko Kuribayashi, Masaaki Yokotani

Twisted tensor products related to the cohomology of the classifying spaces of loop groups

Memoirs of the American MathematicalSociety,849 2006

Author:Katsuhiko Kuribayashi, Mamoru Mimura, TetsuNishimoto

A rational model for the evaluation map

Georgian Mathematical Journal,13:127-141 2006

Author:Katsuhiko Kuribayashi

A rational splitting of a based mapping space

Algebraic&Geometric Topology,6:309-327 2006

Author:Katsuhiko Kuribayashi, Toshihiro Yamaguchi

Eilenberg-Moore spectral sequence calculation of function space cohomology

manuscripta mathematica,114(3):305-325 2004

Author:Katsuhiko Kuribayashi

Module derivations and cohomological splitting of adjoint bundles

Fundamenta Mathematicae,180:199-221 2003

Author:Akira Kono, Katsuhiko Kuribayashi

On the Betti number of the space of invariant paths on the space whose cohomology is the exterior algebra with two generators

Topology andits Appplications,125:161-170 2002

Author:Katsuhiko Kuribayashi

The cohomology of a pull-back on K-formal spaces

Topology and its Applications,125:125-159 2002

Author:Katsuhiko Kuribayashi

Module derivations and non triviality of an evaluation fibration

Homology, Homotopy and Applications,4(1):87-101 2002

Author:Katsuhiko Kuribayashi

The S1-equivariant cohomology of homogeneous spaces as deformations of algebras

The Bulletin of the London Mathematical Society,33:89-99 2001

Author:Katsuhiko Kuribayashi

Mod p equivariant cohomology of homogeneous spaces

Journal of Pure and Applied Algebra,147:95-105 2000

Author:Katsuhiko Kuribayashi

On additive K-theory with the Loday-Quillen *-product

Mathematica Scandinavica,87:5-21 2000

Author:Katsuhiko Kuribayashi, Toshihiro Yamaguchi

Module derivations and the adjoint action of a finite loop space

Journal of Mathematics of Kyoto University,39:67-85 1999

Author:Katsuhiko Kuribayashi

The vanishing problem of the string class with degree 3

Australian Mathematical Society.Journal. Series A. Pure Mathematics and Statistics,64:129-142 1998

Author:Katsuhiko Kuribayashi, Toshihiro Yamaguchi

The cohomology algebra of certain free loop spaces

Fundamenta Mathematicae,154:57-73 1997

Author:Katsuhiko Kuribayashi, Toshihiro Yamaguchi

On the real cohomology of spaces of free loops on manifolds

Fundamenta Mathematicae,150:173-188 1996

Author:Katsuhiko Kuribayashi

On the vanishing problem of string classes,

Australian Mathematical Society. Journal. Series A. Pure Mathematics and Statistics,61:258-266 1996

Author:Katsuhiko Kuribayashi

The cohomology ringof the space of loops on Lie Groupsand homogeneous spaces

Pacific Journal of Mathematics,163:361-391 1994

Author:Katsuhiko Kuribayashi

The extension problem and the mod 2 cohomology of the space of free loops on Spin(N)

Proceedings of the Royal Society of Edinburgh. Section A. Mathematics,121:91-99 1992

Author:Katsuhiko Kuribayashi

On the mod p cohomology of the spaces of free loops onthe Grassmann and Stiefel manifolds

Journal of the Mathematical Society of Japan,43:331-346 1991

Author:Katsuhiko Kuribayashi

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