Tomohiro FUKAYA

Profile Information

Affiliation: 准教授, 理学研究科, 東京都立大学

J-GLOBAL ID: 201601008617754970
researchmap Member ID: B000254073

External link: https://kaken.nii.ac.jp/d/r/40583456.ja.html

https://tomohirofukaya.fpark.tmu.ac.jp/

Research Interests

Research Areas

Natural sciences / Geometry /

Research History

Apr, 2020 - Present

Associate Professor, Department of mathematical science, Tokyo Metropolitan University
Apr, 2018 - Present

Associate Professor, Graduate school of science, Tokyo Metropolitan university
Apr, 2016 - Mar, 2018

Associate Professor, Department of Mathematics and Information Sciences, Tokyo Metropolitan university
May, 2012 - Mar, 2016

Tohoku University
Apr, 2012 - Apr, 2012

Graduate School of Science, Kyoto University
Apr, 2010 - Mar, 2012

Kyoto University

Education

Apr, 2007 - Sep, 2009

Division of Mathematics, Graduate School of Science, Kyoto University
Apr, 2005 - Mar, 2007

Division of Mathematics, Graduate School of Science, Kyoto University
Apr, 2001 - Feb, 2005

Faculty of Science, Kyoto University

Papers

A topological product decomposition of Busemann space

Tomohiro FUKAYA

Journal of the Mathematical Society of Japan, 76(1), Jan 25, 2024 Peer-reviewed
Visual maps between coarsely convex spaces

KOBE JOURNAL OF MATHEMATICS, 40(1-2) 7-45, 2023 Peer-reviewed
Coarse compactifications and controlled products

Tomohiro Fukaya, Shin-ichi Oguni, Takamitsu Yamauchi

Journal of Topology and Analysis, 14(04) 1-26, Nov 16, 2020 Peer-reviewed
A coarse Cartan–Hadamard theorem with application to the coarse Baum–Connes conjecture

Tomohiro Fukaya, Shin-ichi Oguni

Journal of Topology and Analysis, 12(03) 857-895, Sep, 2020 Peer-reviewed
Coronae of relatively hyperbolic groups and coarse cohomologies

Tomohiro Fukaya, Shin-ichi Oguni

JOURNAL OF TOPOLOGY AND ANALYSIS, 8(3) 431-474, Sep, 2016 Peer-reviewed
The coarse Baum-Connes conjecture for Busemann nonpositively curved spaces

Tomohiro Fukaya, Shin-ichi Oguni

KYOTO JOURNAL OF MATHEMATICS, 56(1) 1-12, Apr, 2016 Peer-reviewed
GROWTH OF CRITICAL POINTS IN 1-DIMENSIONAL LATTICE SYSTEMS

Masayuki Asaoka, Tomohiro Fukaya, Kentaro Mitsui, Masaki Tsukamoto

JOURNAL D ANALYSE MATHEMATIQUE, 127 47-68, Sep, 2015 Peer-reviewed
Coronae of product spaces and the coarse Baum-Connes conjecture

Tomohiro Fukaya, Shin-ichi Oguni

ADVANCES IN MATHEMATICS, 279 201-233, Jul, 2015 Peer-reviewed
THE COARSE BAUM-CONNES CONJECTURE FOR RELATIVELY HYPERBOLIC GROUPS

Tomohiro Fukaya, Shin-Ichi Oguni

JOURNAL OF TOPOLOGY AND ANALYSIS, 4(1) 99-113, Mar, 2012 Peer-reviewed
Remark on dynamical Morse inequality

Masayuki Asaoka, Tomohiro Fukaya, Masaki Tsukamoto

PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 87(9) 178-182, Nov, 2011 Peer-reviewed
COARSE DYNAMICS AND FIXED-POINT THEOREM

Tomohiro Fukaya

NAGOYA MATHEMATICAL JOURNAL, 202 1-13, Jun, 2011 Peer-reviewed
Asymptotic distribution of critical values

Tomohiro Fukaya, Masaki Tsukamoto

GEOMETRIAE DEDICATA, 143(1) 63-67, Dec, 2009 Peer-reviewed
GROBNER BASES OF ORIENTED GRASSMANN MANIFOLDS

Tomohiro Fukaya

HOMOLOGY HOMOTOPY AND APPLICATIONS, 10(2) 195-209, 2008 Peer-reviewed

Misc.

Coarse compactifications and a generalization of Gromov products

Fukaya Tomohiro, Oguni Shin-ichi, Yamauchi Takamitsu

RIMS Kokyuroku, (2151) 104-113, Apr, 2020
Coarse Baum-Connes Conjecture for Relatively Hyperbolic Groups (General and Geometric Topology and its Applications)

Fukaya Tomohiro

RIMS Kokyuroku, 1781 59-65, Mar, 2012
Higson corona の不動点定理 (一般位相幾何学及び幾何学的トポロジーの最近の話題とその応用)

深谷友宏

数理解析研究所講究録, 1728 40-44, Feb, 2011

Books and Other Publications

粗幾何学入門 : 「粗い構造」で捉える非正曲率空間の幾何学と離散群

深谷, 友宏

サイエンス社, Sep, 2019 (ISBN: 9784781914596)

Major Presentations

Coarsely convex spaces

Tomohiro Fukaya

AMS Spring Central and Western Joint Sectional Meeting, Mar 24, 2019 Invited
A coarse Cartan-Hadamard theorem with application to the coarse Baum-Connes conjecture

Tomohiro Fukaya

Non-Positively Curved Groups and Spaces, Sep 17, 2017
The coarse Baum-conjecture for product of nonpositive curved spaces and groups

Tomohiro Fukaya

Glances@Manifolds II

Professional Memberships

日本数学会

Research Projects

New development of the coarse geometry of nonpositively curved spaces

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, Apr, 2019 - Mar, 2024
coarse geometry of negatively curved spaces beyond relatively hyperbolic groups

Grants-in-Aid for Scientific Research Grant-in-Aid for Young Scientists (B), Grant-in-Aid for Young Scientists (B), Japan Society for the Promotion of Science, Apr, 2015 - Mar, 2019

Fukaya Tomohiro
Moduli theory of non linear elliptic operators over non compact manifolds

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B), Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, Apr, 2013 - Mar, 2017

Kato Tsuyoshi, Kida Yoshikata, Oguni Shin-ichi, Fukaya Tomohiro, Tsukamoto Masaki, Matsuo Shinichiroh
geometry of automatic groups and dynamics of the boundary

Grants-in-Aid for Scientific Research Grant-in-Aid for Young Scientists (B), Grant-in-Aid for Young Scientists (B), Japan Society for the Promotion of Science, Apr, 2011 - Mar, 2015

FUKAYA TOMOHIRO
計算機を用いた代数的位相幾何学の研究とアルゴリズムの開発

科学研究費助成事業特別研究員奨励費, 特別研究員奨励費, 日本学術振興会, 2007 - 2009

深谷友宏

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