Nariya Kawazumi

Profile Information

Affiliation: Professor, Graduate School of Mathematical Sciences, Global Geometry, Graduate School of Mathematical Sciences Basic Analysis, The University of Tokyo

Degree: Doctor of Mathematical Sciences(The University of Tokyo)
Master of Sciences(The University of Tokyo)

J-GLOBAL ID: 200901015504911581
researchmap Member ID: 1000160217

External link: http://www.ms.u-tokyo.ac.jp/~kawazumi/

Research Interests

Research Areas

Natural sciences / Geometry /

Education

- 1989

The University of Tokyo
- 1989

Graduate School, Division of Science, The University of Tokyo
- 1987

Department of Mathematics, Faculty of Science, The University of Tokyo
- 1987

Faculty of Science, The University of Tokyo

Papers

The Goldman–Turaev Lie bialgebra in genus zero and the Kashiwara–Vergne problem

Anton Alekseev, Nariya Kawazumi, Yusuke Kuno, Florian Naef

Advances in Mathematics, 326 1-53, Feb 21, 2018 Peer-reviewed
The mapping class group orbits in the framings of compact surfaces

KAWAZUMI Nariya

Quarterly J. Math., 2018 Peer-reviewed
Self-intersections of curves on a surface and Bernoulli numbers

Shinji Fukuhara, Nariya Kawazumi, Yusuke Kuno

Osaka Journal of Mathematics, 2018 Peer-reviewed
Higher genus Kashiwara-Vergne problems and the Goldman-TuraevLie bialgebra

Anton Alekseev, Nariya Kawazumi, Yusuke Kuno, Florian Naef

COMPTES RENDUS MATHEMATIQUE, 355(2) 123-127, Feb, 2017 Peer-reviewed
A tensorial description of the Turaev cobracket on genus 0 compact surfaces

KAWAZUMI Nariya

RIMS Kokyuroku Besssatsu, B66, 2017 Peer-reviewedInvited
INTERSECTION OF CURVES ON SURFACES AND THEIR APPLICATIONS TO MAPPING CLASS GROUPS

Nariya Kawazumi, Yusuke Kuno

ANNALES DE L INSTITUT FOURIER, 65(6) 2711-2762, 2015 Peer-reviewed
GENERATORS OF THE HOMOLOGICAL GOLDMAN LIE ALGEBRA

Nariya Kawazumi, Yusuke Kuno, Kazuki Toda

OSAKA JOURNAL OF MATHEMATICS, 51(3) 665-671, Jul, 2014 Peer-reviewed
Surface topology and involutive bimodules

KAWAZUMI Nariya

RIMS Kokyuroku Besssatsu, B48 1-23, 2014 Peer-reviewedInvited
The logarithms of Dehn twists

KAWAZUMI Nariya, KUNO Yusuke

Quantum Topology, 5 347-423, 2014 Peer-reviewed
The center of the goldman lie algebra of a surface of infinite genus

Nariya Kawazumi, Yusuke Kuno

Quarterly Journal of Mathematics, 64(4) 1167-1190, Dec, 2013 Peer-reviewed
Canonical extensions of the Johnson homomorphisms to the Torelli groupoid

Alex James Bene, Nariya Kawazumi, R. C. Penner

ADVANCES IN MATHEMATICS, 221(2) 627-659, Jun, 2009 Peer-reviewed
Integral Riemann-Roch formulae for cyclic subgroups of mapping class groups

Toshiyuki Akita, Nariya Kawazumi

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 144 411-421, Mar, 2008 Peer-reviewed
A generalization of the Morita-Mumford classes to extended mapping class groups for surfaces

N Kawazumi

INVENTIONES MATHEMATICAE, 131(1) 137-149, Jan, 1998 Peer-reviewed
THE PRIMARY APPROXIMATION TO THE COHOMOLOGY OF THE MODULI SPACE OF CURVES AND COCYCLES FOR THE STABLE CHARACTERISTIC CLASSES

Nariya Kawazumi, Shigeyuki Morita

MATHEMATICAL RESEARCH LETTERS, 3(5) 629-641, 1996 Peer-reviewed
ON THE COMPLEX ANALYTIC GELFAND-FUKS COHOMOLOGY OF OPEN RIEMANN SURFACES

N KAWAZUMI

ANNALES DE L INSTITUT FOURIER, 43(3) 655-712, 1993 Peer-reviewed

Misc.

A regular homotopy version of the Goldman-Turaev Lie bialgebra, the Enomoto-Satoh traces and the divergence cocycle in the Kashiwara-Vergne problem (Complex Analysis and Topology of Discrete Groups and Hyperbolic Spaces)

Kawazumi Nariya

RIMS Kokyuroku, 1936 137-141, Apr, 2015
ON A REAL-VALUED FUNCTION ON THE MODULI OF RIEMANN SURFACES (Analysis and Topology of Discrete Groups and Hyperbolic Spaces)

KAWAZUMI NARIYA

RIMS Kokyuroku, 1660 92-94, Jul, 2009
Weierstrass points and Morita-Mumford classes on hyperelliptic mapping class groups

N Kawazumi

TOPOLOGY AND ITS APPLICATIONS, 125(3) 363-383, Nov, 2002
HARMONIC MAGNUS EXPANSIONS (Hyperbolic Spaces and Discrete Groups II)

Kawazumi Nariya

RIMS Kokyuroku, 1270 11-23, Jun, 2002
Periodic surface automorphisms and algebraic independence of Morita-Mumford classes

T Akita, N Kawazumi, T Uemura

JOURNAL OF PURE AND APPLIED ALGEBRA, 160(1) 1-11, Jun, 2001
The Meromorphic Solutions of the Bruschi-Calogero Equation

Nariya Kawazumi, Youichi Shibukawa

Publications of the Research Institute for Mathematical Sciences, 36(1) 85-109, 2000
Riemann-hurwitz formula for morita-mumford classes and surface symmetries

Nariya Kawazumi, Takeshi Uemura

Kodai Mathematical Journal, 21(3) 372-380, 1998
A Generalization of the Moirta-Mumford Classes to Extended Mapping Class Groups for Surfaces

Inventiones mathematicae, 131 137-149, 1998
ON CERTAIN COHOMOLOGY CLASSES ON THE AUTOMORPHISMS OF FREE GROUPS(Analysis of Discrete Groups II)

KAWAZUMI Nariya

RIMS Kokyuroku, 1022 35-42, Dec, 1997
Homology of hyperelliptic mapping class groups for surfaces

N Kawazumi

TOPOLOGY AND ITS APPLICATIONS, 76(3) 203-216, Apr, 1997
Abelian Differentials of the Third Kind and Mapping Class Groups(Analysis of Discrete Groups)

KAWAZUMI Noriya

RIMS Kokyuroku, 967 25-41, Oct, 1996
A GENERALIZATION OF THE MORITA-MUMFORD CLASSES TO EXTENDED MAPPING CLASS GROUPS FOR SURFACES(Topology of Holomorphic Dynamical Systems and Related Topics)

KAWAZUMI NARIYA

RIMS Kokyuroku, 955 28-38, Aug, 1996
THE PRIMARY APPROXIMATION TO THE COHOMOLOGY OF THE MODULI SPACE OF CURVES AND COCYCLES FOR THE STABLE CHARACTERISTIC CLASSES

Nariya Kawazumi, Shigeyuki Morita

MATHEMATICAL RESEARCH LETTERS, 3(5) 629-641, 1996
"On the stable cohomology algebra of extended mapping class groups for surfaces"

Hokkaido University Preprint Series in Mathematics, 311, 1995
An application of the second Riemann continuation theorem to cohomology of the Lie algebra of vector fields on the complex line

Preprint series, Department of Mathematical Sciences, University of Tokyo, 18, 1993
Moduli space and complex analytic Gel'fand-Fuks cohomology of Riemann surfaces

Preprint Series, Department of Mathematical Sciences, University of Tokyo., 29, 1993
On the complex analytic Gel'fand-Fuks cohomology of open Riemann surfaces,

Annales de l'Institut Fourier, 43(3) 655, 1993
THE INVARIANT DIFFERENTIAL FORMS ON THE TEICHMULLER SPACE UNDER THE FENCHEL-NIELSEN FLOWS

N KAWAZUMI

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 44(2) 217-237, Apr, 1992
Teichmuller 空間の de Rham 複体への Fenchel-Nielsen flow の作用(複素解析幾何学とその周辺の研究:数理物理と複素解析幾何)

河澄響矢

数理解析研究所講究録, 756 64-67, Jun, 1991
On the homotopy type of the moduli space of n-point sets of P1

Journal of the Faculty of Science, the Universityof Tokyo Ser IA, 37(2) 263, 1990

Books and Other Publications

An infinitesimal approach to the stable cohomology of the moduli of Riemann surfaces.

in: proceednigs of the 37th. Taniguchi Symposium on 'Topology and Teichm(]E88DB[)llir theory', World Scientific, 1996

Presentations

Johnson homomorphisms and the Morita-Penner cocycle --- a survey

KAWAZUMI Nariya

102e rencontre entre mathematiciens et physiciens theoriciens, Sep 13, 2018 Invited
Formality of the Goldman bracket and the Turaev cobracket

KAWAZUMI Nariya

MFO Workshop `New Trends in Teichmüller Theory and Mapping Class Groups, Sep 5, 2018 Invited
The harmonic Magnus expansion on a compact Riemann surface with non-zero tangent vectors

KAWAZUMI Nariya

Seminaire `Groupes de Lie et espaces des modules’, Nov 14, 2017 Invited
写像類群、Goldman-Turaev Lie 双代数、柏原 Vergne 問題

河澄響矢

日本数学会秋季総合分科会トポロジー分科会特別講演, Sep 11, 2017 Invited
Differential forms and functions on the moduli space of Riemann surfaces

KAWAZUMI Nariya

Seminaire Algebre et topologie, Jan 30, 2017 Invited
Some tensor field on the Teichmuller space

KAWAZUMI Nariya

Seminaire `Groupes de Lie et espaces des modules’, Nov 1, 2016 Invited
Some tensor field on the Teichmuller space

KAWAZUMI Nariya

OIST workshop: MCM2016, Oct 25, 2016
The Kashiwara- Vergne problem and the Goldman-Turaev Lie bialgebra, I

KAWAZUMI Nariya

Workshop on Grothendieck-Teichmueller Theories, Jul 28, 2016 Invited
Mapping class groups and the Johnson homomorphisms, II,

KAWAZUMI Nariya

Berkeley-Tokyo Winter School, Feb 9, 2016 Invited
Mapping class groups and the Johnson homomorphisms, I

KAWAZUMI Nariya

Berkeley-Tokyo Winter School, Feb 8, 2016 Invited
Algebraic aspects of the Goldman-Turaev Lie bialgebra

KAWAZUMI Nariya

workshop "GRT, MZVs and associators", Aug 21, 2015 Invited
A tensorial description of the Turaev cobracket on genus 0 compact surfaces

KAWAZUMI Nariya

French-Japanese workshop on Teichmueller spaces and surface mapping class groups, Jun 4, 2015 Invited

Professional Memberships

日本数学会

Research Projects

リーマン面に関連する位相幾何学の代数的展開

科学研究費助成事業, 基盤研究(B), 日本学術振興会, Apr, 2022 - Mar, 2026

河澄響矢
数論トポロジーと種々のモノドロミー不変量の新たな展開

科学研究費助成事業, 基盤研究(A), 日本学術振興会, Apr, 2020 - Mar, 2025

中村博昭, 角皆宏, 河澄響矢, 森下昌紀, 星明考, 伊吹山知義, 古庄英和, 高橋浩樹, 小笠原健
Various evolutions of Teichmuller theory

Grants-in-Aid for Scientific Research, Fund for the Promotion of Joint International Research (Fostering Joint International Research (B)), Japan Society for the Promotion of Science, Oct, 2018 - Mar, 2023
Geometry of the braid groups and mapping class groups and their growth

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, Apr, 2018 - Mar, 2023
Topological Study on Riemann Surfaces through Higher Cocycles

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, Apr, 2019 - Mar, 2022
Studies on arithmetic invariants arising from mutual interactions between Galois groups and fundamental groupoids

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, Apr, 2014 - Mar, 2019

Nakamura Hiroaki
Topological studies on Riemann surfaces through Lie bialgebras

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, Apr, 2015 - Mar, 2018

Kawazumi Nariya, TADOKORO Yuuki, SATOH Takao, SATO Masatoshi, KUNO Yusuke, Penner Robert, KURIBAYASHI Katsuhiko, NAITO Takahito, Alekseev Anton, Naef Florian
Topology of discrete groups and growth series

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, Apr, 2014 - Mar, 2017

Fujii Michihiko, SATOH Takao, KAWAZUMI Nariya, SAITO Kyoji
New developments in infinite groups and geometry

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (S), Japan Society for the Promotion of Science, May, 2012 - Mar, 2017

Tsuboi Takashi, MATSUMOTO Shigenori, MORITA Shigeyuki, KANAI Masahiko, NAKAYAMA Hiromichi, MORIYOSHI Hitoshi, HAYASHI Shuhei, MINAKAWA Hiroyuki, NODA Takeo, ASAOKA Masayuki, KODAMA Hiroki, TAKAMURA Masashi, MATSUDA Yoshifumi
Topological study of Riemann surfaces through infinite-dimensional Lie algebras

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, Apr, 2012 - Mar, 2016

Kawazumi Nariya, TADOKORO Yuuki, SATOH Takao, SATO Masatoshi, KUNO Yusuke
Geometric group theory and metric embedding

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (A), Japan Society for the Promotion of Science, Apr, 2011 - Mar, 2016

Fujiwara Koji, OZAWA Narutaka, SHIOYA Takashi, KAWAZUMI Nariya, AKUTAGAWA Kazuo
Global geometric studies on Kleinian groups and Teichmuller spaces

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (A), Japan Society for the Promotion of Science, Apr, 2010 - Mar, 2016

Ohshika Ken'ichi, Miyachi Hideki, Soma Teruhiko, Wada Masaaki, Endo Hisaaki, Kawazumi Nariya
Deepening three-manifold theory

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (A), Japan Society for the Promotion of Science, Apr, 2010 - Mar, 2015

KOJIMA Sadayoshi, YOSHIDA Tomoyoshi, KIN Eiko, TAKASAWA Mitsuhiko, SAKASAI Takuya, FUJIWARA Koji, UE Masaaki, ISHIKAWA Goo, KAWASUMI Nariya
Deformation spaces of discrete groups and growth functions

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2011 - 2013

FUJII MICHIHIKO, UE Masaaki, SATOH Takao, KAWAZUMI Nariya, SAITO Kyoji
Groups of diffeomorphisms of manifolds

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (A), Japan Society for the Promotion of Science, 2008 - 2012

TSUBOI Takashi, ASUKE Taro, KAWAZUMI Nariya, HAYASHI Shuhei, KANAI Masahiko, ASAOKA Masayuki, OHSHIKA Kenichi, NAKAYAMA Hiromichi, NODA Takeo, FUJIWARA Koji, MINAKAWA Hiroyuki, MORIYOSHI Hitoshi
Localization theory of Atiyah classes and its applications

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2009 - 2011

SUWA Tatsuo, OHMOTO Toru, OKA Mutsuo, KAWAZUMI Nariya, TAKEUCHI Kiyoshi, TAJIMA Shinichi, NAKAMURA Yayoi, YOKURA Shoji, YOSHIKAWA Kenichi
4-MANIFOLDS AND RIEMANN SURFACES

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, 2008 - 2011

MATSUMOTO Yukio, ASHIKAGA Tadashi, KAMADA Seiichi, KAWAZUMI Nariya, ENDO Hisaaki, YOSHIKAWA Ken-ichi, TAKAMURA Shigeru, IWASE Zjunici
Deformation spaces of discrete groups and hyperbolic structures

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2008 - 2010

FUJII Michihiko, UE Masaaki, KAWAZUMI Nariya, MORISHITA Masanori, SAITO Kyoji
gauge theory and homotopy theory

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, 2007 - 2010

FURUTA Mikio, KATO Tsuyoshi, TSUBOI Shun, UE Masaaki, MINAMI Norihiko, KAMETANI Yukio, HAYASHI Shuhei, KAWAZUMI Nariya, TAMAKI Dai, KIYONO Kazuhiko, YOSHIDA Takahiko, FUJITA Hajime, NAKAMURA Nobuhiro
Cross-cultural Exchange of Mathematics and Its Development in Early Modern East Asian Maritime Region

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research on Priority Areas, Japan Society for the Promotion of Science, 2005 - 2010

KAWAZUMI Nariya, OKAMOTO Kazuo, KOMATSU Hikosaburou, WATANABE Junsei

Profile Information

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Papers

Misc.

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