Mitsunobu TSUTAYA Faculty of Mathematics, Kyushu University, Fukuoka, 819-0395, Japan. tsutaya_at_math_dot_kyushu-u.ac_dot_jp (replace "_at_" with "@" and "_dot_" with ".") Research Interest algebraic topology, Preprints - arXiv:2302.01017 (with D. Kishimoto and M. Takeda)
The space of commuting elements in a Lie group and maps between classifying spaces, accepted for publication in Proc. Roy. Soc. Edinburgh: Sect. A. - arXiv:2211.00512 (with T. Kato and D. Kishimoto)
Vector fields on non-compact manifolds, accepted for publication in Algebr. Geom. Topol. - arXiv:2105.02981
(with T. Kato and D. Kishimoto)
Hilbert bundles with ends, accepted for publication in J. Topol. Anal.
Published Papers - arXiv:2101.10596
(with S. Hasui, D. Kishimoto and M. Takeda)
Tverberg's theorem for cell complexes, Bull. Lond. Math. Soc. 55 (2023), 1551-2086. - arXiv:2102.00606
(with T. Kato and D. Kishimoto)
Homotopy type of the unitary group of the uniform Roe algebra on Z^{n}, J. Topol. Anal. 15 (2023), 495-512. - arXiv:2007.06787
(with T. Kato and D. Kishimoto)
Homotopy type of the space of finite propagation unitary operators on Z, Homology, Homotopy Appl. 25 (2023), 375-400. - arXiv:2111.15096
Higher homotopy normalities in topological groups, J. Topol. 16 (2023), 234-263. - arXiv:2012.15372
MR4527556 (with M. Tsukamoto and M. Yoshinaga)
*G*-index, topological dynamics and marker property, Israel J. Math. 251 (2022), 737-764. - MR4129805 (with N. Iwase)
Upper bound for monoidal topological complexity, Kyushu J. Math. 74 (2020), 197-200. - arXiv:1807.02944
MR3975098 (with N. Iwase and M.
Sakai)
A short proof for tc(*K*)=4, Topology Appl. 264 (2019), 167-174. - arXiv:1612.08816 MR3852292 (with S. Hasui and D.
Kishimoto)
Higher homotopy commutativity in localized Lie groups and gauge groups, Homology, Homotopy Appl. 21 (2019), 107-128. - MR3811091
Corrigendum to `Homotopy pullback of*A*-spaces and its applications to_{n}*A*-types of gauge groups' [Topology Appl. 187 (2015) 1–25],_{n} Topology Appl. 243 (2018), 159-162. - arXiv:1405.0337
MR3733837 (with D. Kishimoto)
Samelson products in*p*-regular SO(2*n*) and its homotopy normality, Glasg. Math. J. 60 (2018), 165-174. - MR3679077 (with D. Kishimoto and S.
Theriault)
The homotopy types of*G*_{2}gauge groups, Topology Appl. 228 (2017), 92-107. - arXiv:1408.2010
MR3491849
Mapping spaces from projective spaces, Homology, Homotopy Appl. 18 (2016), 173-203. - MR3465846 arXiv:1502.02781 (with D. Kishimoto)
Infiniteness of*A*_{∞}-types of gauge groups, J. Topol. 9 (2016), 181-191. - arXiv:1210.8252
MR3327166 !!Erratum!!
Homotopy pullback of*A*-spaces and its applications to_{n}*A*-types of gauge groups,_{n} Topology Appl. 187 (2015), 1-25.
- MR3194181 (with D. Kishimoto and A.
Kono)
On localized unstable*K*^{1}-groups and applications to self-homotopy groups, Canad. Math. Bull. 57 (2014), 344-356. - MR3164541 (with D. Kishimoto and A.
Kono)
On*p*-local homotopy types of gauge groups, Proc. Roy. Soc. Edinburgh: Sect. A 144 (2014), 149-160. - MR3071142 (with D. Kishimoto and A.
Kono)
Mod*p*decompositions of gauge groups, Algebr. Geom. Topol. 13 (2013), 1757-1778. - arXiv:1107.3908
MR2876314
Finiteness of*A*-equivalence types of gauge groups,_{n} J. London Math. Soc. 85 (2012), 142-164. - arXiv:1101.4278
MR2864856
A note on homotopy types of connected components of Map(*S*^{4},BSU(2)), J. Pure and Appl. Algebra 216 (2012), 826-832.
Unpublished papers - arXiv:2103.12403
(with H. Maruhashi)
De Rham cohomology of the weak stable foliation of the geodesic flow of a hyperbolic surface, preprint. - arXiv:1606.07363
Coincidence Reidemeister trace and its generalization, preprint.
Lecture Notes - Evaluation
fiber sequence and homotopy commutativity,
lecture notes for Algebraic Topology Workshop for Young Researches 2015.
Other Documents - M. Tsutaya,
Results in Homotopy Theory of Gauge Groups (last update: Feb. 13, 2022).
- M. Tsutaya,
On evaluation fiber sequences, RIMS Kokyuroku No. 1922, The Topology and the Algebraic Structures of Transformation Groups, 166-169. - 井澤昇平・大下達也・蔦谷充伸・野坂武史，
代数的K-理論の基礎とその周辺 (Japanese)， 第六回琵琶湖若手数学者勉強会（2012年2月）報告書 - 伊藤哲也・今城洋亮・蔦谷充伸・野坂武史，
Atiyah-Singer の指数定理 (Japanese)， 第五回琵琶湖若手数学者勉強会（2011年2月）報告書
Talks 2019- - Higher homotopy normalities in topological groups,
Homotopy Theory Symposium, Osaka Metropolitan University, November 2023. - Homotopy types of spaces of finite propagation unitary
operators on Z,
CREST Research Seminar on "Theoretical studies of topological phases of matter", online, October 2023.
- Slides
Higher homotopy normalities in topological groups, Topology Symposium, Nara Women's University, August 2023. - Slides
An associative model of homotopy coherent functors and natural transforamations, Kansai Algebraic Topology Seminar, Osaka Metropolitan University, February 2023. - Finite propagation operators and Hilbert bundles with end,
Topology Seminar, the University of Aberdeen, September 2022. - Slides
Higher homotopy normalities in topological groups, Classifying spaces in homotopy theory: in honour of Ran Levi's 60th Birthday, ICMS, Bayes Centre, the University of Edinburgh, September 2022. - Slides
Homotopy normalities in topological groups, Kyoto-Kyushu-Shinshu Topology Joint Seminar, online, December 2021. - Slides
Finite propagation operators and Hilbert bundles with end, TMU Geometry Seminar, online, Tokyo Metropolitan University, June 2021. - Slides
Homotopy type of the space of finite propagation unitary operators on Z, Southampton-Kyoto Workshop II, online, December 2020.
- Slides
Homotopy types of spaces of finite propagation unitary operators on Z, WORKSHOP: unitary operators: spectral and topological properties, online, September 2020.
- Slides
Unstable homotopy types of spaces of finite propagation unitary operators on Z, joint seminar of Kansai gauge theory seminar and Kyoto algebraic topology seminar, online seminar, May 2020.
- Characterizations of homotopy fiber inclusion,
Homotopy Theory Symposium, Hokkaido University, October 2019. - Reidemeister trace and Pontryagin-Thom construction,
Reidemeister traces and gauge theory, the University of Ryukyus, October 2019. - Slides
De Rham cohomology of the weak stable foliation of the geodesic flow of a hyperbolic surface, Topological Studies around Riemann Surfaces, the University of Tokyo, September 2019. - Slides
Homotopy theory of*A*-spaces in Lie groups,_{n} Colloquium, Kyoto University, June 2019.
Curriculum Vitae Profesional experience - Associate Professor, Kyushu Uniersity, Apr 2021 - present - Assistant Professor, Kyushu Uniersity, May 2016 - Mar 2021 - JSPS Research Fellow PD, Kyushu University, April 2016 - Research Associate, Kyoto University, April 2013 - May 2016 - JSPS Research Fellow PD, Kyoto University, December 2011 - March 2013 - JSPS Research Fellow DC1, Kyoto University, April 2010 - November 2011 Organizing seminars and conferences - 福岡ホモトピー論セミナー, January 2024 - 多様体と写像空間の代数トポロジー, November 2023 - Homotopy Theory Symposium, November 2021 - Homotopy Theory Symposium, November 2020 - Kyushu University Topology Seminar - organizer, April 2017 - October 2023 Degrees - D.S., Kyoto University, November 2011 - M.S., Kyoto University, March 2010 Grants - Grant for Basic Science Research Projects, Sumitomo Foundation, November 2015 - November 2016 - Grant-in-Aid for JSPS Fellows, Japan Society for the Promotion of Science, April 2010 - March 2013 Teaching experience - Linear Algebra II, Second Semester 2023 - Exercise of Mathematics AII (linear algebra and calculus), Second Semester 2023 - Linear Algebra I, First Semester 2023 - Exercise of Mathematics AI (linear algebra and calculus), First Semester 2023 - Advanced Linear Algebra, First Semester 2023 - Calculus II, Second Semester 2022 - Core Seminar II (seminar for 1st year undergraduate students), Second Semester 2022 - Calculus I, First Semester 2022 - Advanced Linear Algebra, First Semester 2022 - Basics of Topology (singular homology for graduate students), Second Semester 2021 - Core Seminar II (seminar for 1st year undergraduate students), Second Semester 2021 - Calculus III, First Semester 2021 - Exercise of Mathematics II (linear algebra and vector calculus), First Semester 2021 - Geometry II Exercise (homology of topological spaces), Second Semester 2020 - Geometry II Exercise (homology of topological spaces), Second Semester 2019 - Geometry I Exercise (manifolds), First Semester 2019 - Calculus III, First Semester 2019 (2 classes) - Geometry II Exercise (homology of topological spaces), Second Semester 2018 - Calculus II, Second Semester 2018 - Geometry I Exercise (manifolds), First Semester 2018 - Calculus I, First Semester 2018 - Geometry II Exercise (homology of topological spaces), Second Semester 2017 - Geometry I Exercise (manifolds), First Semester 2017 - Survey in Mathematics II Exercise (metric spaces), First Semester 2017 - Linear Algebra, First Semester 2017 - Survey in Mathematics III Exercise (general topology), Second Semester 2016 - Survey in Mathematics I Exercise (convergence of series and sequence of functions), First Semester 2016 |