Updated on 2024/09/09

Information

 

写真a

 
TSUTAYA MITSUNOBU
 
Organization
Faculty of Mathematics Division of Algebra and Geometry Associate Professor
School of Sciences Department of Mathematics（Joint Appointment）
Graduate School of Mathematics Department of Mathematics（Joint Appointment）
Joint Graduate School of Mathematics for Innovation （Joint Appointment）
Title
Associate Professor
Profile
I study algebraic topology. I am especially interested in mapping spaces and higher homotopy structures.
Homepage
External link

Research Areas

  • Natural Science / Geometry

Degree

  • Doctor of Science

Research Interests・Research Keywords

  • Research theme：I study algebraic topology. I am especially interested in mapping spaces and higher homotopy structures.

    Keyword：algebraic topology, mapping spaces, higher homotopy structures

    Research period： 2010.4

Papers

  • The space of commuting elements in a Lie group and maps between classifying spaces

    Daisuke Kishimoto, Masahiro Takeda, Mitsunobu Tsutaya

    Proceedings of the Royal Society of Edinburgh Section A: Mathematics   2023.10   （ ISSN:0308-2105 eISSN:1473-7124 ）

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    Let be a discrete group, and let be a compact-connected Lie group. Then, there is a map between the null components of the spaces of homomorphisms and based maps, which sends a homomorphism to the induced map between classifying spaces. Atiyah and Bott studied this map for a surface group, and showed that it is surjective in rational cohomology. In this paper, we prove that the map is surjective in rational cohomology for and the classical group except for, and that it is not surjective for with and with. As an application, we consider the surjectivity of the map in rational cohomology for a finitely generated nilpotent group. We also consider the dimension of the cokernel of the map in rational homotopy groups for and the classical groups except for.

    DOI： 10.1017/prm.2023.112

    Web of Science

    Scopus

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  • TVERBERG'S THEOREM FOR CELL COMPLEXES (New trends of transformation groups)

    HASUI SHO, KISHIMOTO DAISUKE, TAKEDA MASAHIRO, TSUTAYA MITSUNOBU

    RIMS Kokyuroku   2231   129 - 134   2022.11   （ ISSN:18802818 ）

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    Language：English  

    CiNii Research

  • Higher homotopy normalities in topological groups

    Mitsunobu Tsutaya

    Journal of Topology   16 ( 1 )   234 - 263   2021.11   （ ISSN:17538416 eISSN:17538424 ）

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    The purpose of this paper is to introduce N_k(`)-maps (1 k; ` 1), which describe higher homotopy normalities, and to study their basic properties and examples. An N_k(`)-map is defined with higher homotopical conditions. It is shown that a homomorphism is an N_k(`)-map if and only if there exists fiberwise maps between fiberwise projective spaces with some properties. Also, the homotopy quotient of an N_k(k)-map is shown to be an H-space if its LS category is not greater than k. As an application, we investigate when the inclusions SU(m) ! SU(n) and SO(2m + 1) ! SO(2n + 1) are p-locally N_k(`)-maps.

    DOI： 10.1112/topo.12282

    Web of Science

    Scopus

    CiNii Research

    Repository Public URL： https://hdl.handle.net/2324/7173526

  • Hilbert bundles with ends

    Tsuyoshi Kato, Daisuke Kishimoto, Mitsunobu Tsutaya

    Journal of Topology and Analysis   16 ( 02 )   291 - 322   2021.5   （ ISSN:1793-5253 eISSN:1793-7167 ）

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    DOI： 10.1142/S1793525321500680

    Web of Science

    Scopus

  • Homotopy type of the unitary group of the uniform Roe algebra on $mathbb{Z}^n$

    Tsuyoshi Kato, Daisuke Kishimoto, Mitsunobu Tsutaya

    Journal of Topology and Analysis   15 ( 2 )   495 - 512   2021.2   （ ISSN:1793-5253 eISSN:1793-7167 ）

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    DOI： 10.1142/S1793525321500357

    Web of Science

    Scopus

  • Tverberg's theorem for cell complexes

    Sho Hasui, Daisuke Kishimoto, Masahiro Takeda, Mitsunobu Tsutaya

    Bulletin of the London Mathematical Society   55 ( 4 )   1944 - 1956   2021.1   （ ISSN:0024-6093 eISSN:1469-2120 ）

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    DOI： 10.1112/blms.12829

    Web of Science

    Scopus

  • $G$-index, topological dynamics and marker property

    Masaki Tsukamoto, Mitsunobu Tsutaya, Masahiko Yoshinaga

    Israel Journal of Mathematics   251 ( 2 )   737 - 764   2020.12   （ ISSN:0021-2172 eISSN:1565-8511 ）

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    DOI： 10.1007/s11856-022-2433-0

    Web of Science

    Scopus

  • Homotopy type of the space of finite propagation unitary operators on $mathbb{Z}$

    Tsuyoshi Kato, Daisuke Kishimoto, Mitsunobu Tsutaya

    Homology, Homotopy and Applications   25 ( 1 )   375 - 400   2020.7   （ ISSN:1532-0073 eISSN:1532-0081 ）

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    DOI： 10.4310/HHA.2023.V25.N1.A20

    Web of Science

    Scopus

  • UPPER BOUND FOR MONOIDAL TOPOLOGICAL COMPLEXITY Reviewed International journal

    @Norio Iwase, @Mitsunobu Tsutaya

    Kyushu Journal of Mathematics   74 ( 1 )   197 - 200   2020.1

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    DOI： https://doi.org/10.2206/kyushujm.74.197

  • A short proof for $mathrm{tc}(K)=4$ Reviewed

    Iwase Norio, Sakai Michihiro, Tsutaya Mitsunobu

    Topology and its Applications   264   167 - 174   2019.9

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    A short proof for $mathrm{tc}(K)=4$
    We show a method to determine topological complexity from the fibrewise view point, which provides an alternative proof for tc(K)=4, where K denotes Klein bottle.

    DOI： 10.1016/j.topol.2019.06.014

  • Homotopy pullback of A(n)-spaces and its applications to A(n)-types of gauge groups (vol 187, pg 1, 2015) Reviewed

    Tsutaya Mitsunobu

    TOPOLOGY AND ITS APPLICATIONS   243   159 - 162   2018.7

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    Homotopy pullback of A(n)-spaces and its applications to A(n)-types of gauge groups (vol 187, pg 1, 2015)
    Introduction: The author regret that Section 9 of [5] contains a mistake, where we studied the classification problem of the gauge groups of principal [Formula presented]-bundles over [Formula presented]. In the proof of Proposition 9.1 in [5], the author considered the map [Formula presented] called the “relative Whitehead product”. But, actually, it is not well-defined. From this failure, the proofs for Proposition 9.1, Corollary 9.2 and Theorem 1.2 are no longer valid. The aim of this current article is to prove a weaker version of Theorem 1.2 in [5] and to improve the result for the fiberwise [Formula presented]-types of adjoint bundles. Let [Formula presented] be the principal [Formula presented]-bundle over [Formula presented] such that [Formula presented]. The following is a weaker version of Theorem 1.2 in [5], to which we only add the condition [Formula presented]. We denote the largest integer less than or equal to t by [Formula presented]. Theorem 1.1 For a positive integer [Formula presented], the gauge groups [Formula presented] and [Formula presented] are [Formula presented]-equivalent if [Formula presented] and [Formula presented] for any odd prime p. Moreover, if [Formula presented], the converse is also true. Proof To show the if part, it is sufficient to show that the wedge sum [Formula presented] extends over the product [Formula presented]. The case when [Formula presented] has already been verified in [4, Section 5]. Suppose [Formula presented]. By Toda's result [3, Section 7], we have homotopy groups of [Formula presented] as follows: [Formula presented] for [Formula presented], where [Formula presented] if [Formula presented]. This implies that, if [Formula presented] and [Formula presented], there is no obstruction to extending a map [Formula presented] over [Formula presented]. It also implies that, for [Formula presented] and a map [Formula presented], the composite [Formula presented] extends over [Formula presented]. Then we obtain the if part by induction and Theorem 1.1 in [5]. The proof of the converse in [5] correctly works for [Formula presented]. □ Remark 1.2 For [Formula presented] and [Formula presented], Toda's result [3, Theorem 7.5] says [Formula presented] This is the first non-trivial homotopy group where the obstruction is not detected in our method. Suppose there exists an extension [Formula presented] of [Formula presented], where [Formula presented] and i is the inclusion [Formula presented]. In the rest of this article, we compute the e-invariant [1] of the obstruction to extending the map f over [Formula presented]. This obstruction is regarded as an element [Formula presented]. The map h factors as the composite of the suspension map [Formula presented] and the inclusion [Formula presented], where [Formula presented] is the homotopy class corresponding to h under the isomorphism [Formula presented]. Consider the following maps among cofiber sequences: [Formula presented] As in [4], take the appropriate generator [Formula presented] such that [Formula presented] Actually, one can take the generator a as the image of [Formula presented] under the complexification map [Formula presented] from the quaternionic K-theory, where γ denotes the canonical line bundle and [Formula presented] the 1-dimensional trivial quaternionic vector bundle. We denote the restriction of a on [Formula presented] by [Formula presented]. Note that we can obtain the following by the Künneth theorem for K-theory: [Formula presented] Lemma 1.3 Let [Formula presented]. Then the following holds. (1) Suppose i is even. Then [Formula presented] is an image of the complexification map from the quaternionic K-theory.(2) Suppose i is odd. Then [Formula presented] is an image of the complexification map from the quaternionic K-theory, but [Formula presented] is not. Proof Consider the following commutative diagram induced by the cofiber sequence: [Formula presented] Note that all the groups appearing in this diagram are free abelian. This implies the vertical maps are injective. As is well-known, the index of the image of the map [Formula presented] is 1 if i is even, and is 2 if i is odd. Now the lemma follows from the above diagram and the fact that the image of [Formula presented] is generated by [Formula presented]. □ Since [Formula presented], there is a lift [Formula presented] of [Formula presented] contained in the image of the complexification from [Formula presented]. Denote the image of [Formula presented] under the map [Formula presented] by [Formula presented]. We take [Formula presented], [Formula presented] and [Formula presented]. We fix a generator of [Formula presented] such that its image in [Formula presented] is [Formula presented] We denote its images by [Formula presented] and [Formula presented]. As in [1, Section 7], the e-invariant λ of the map [Formula presented] is characterized by [Formula presented] in [Formula presented], where λ is well-defined as a residue class in [Formula presented] if n is odd, and in [Formula presented] if n is even. If the map [Formula presented] is null-homotopic, then λ is 0 as the corresponding residue class. By the result of [4], we have [Formula presented] where [Formula presented] and [Formula presented] are inductively defined by the equations [Formula presented] Since a is in the image of the complexification from [Formula presented], we have [Formula presented] for even [Formula presented] and [Formula presented] for odd [Formula presented] by Lemma 1.3. Combining with [4, Propositions 4.2 and 4.4], we have the following proposition. Lemma 1.4 The following hold. (1) For [Formula presented], [Formula presented].(2) For an odd prime p, [Formula presented]. There exists [Formula presented] such that the following holds: [Formula presented] Again by Lemma 1.3, [Formula presented] if n is odd. Note that the Chern characters ch a and [Formula presented] are computed as [Formula presented] Then, by computing [Formula presented] by two ways as in [4, Section 2], we obtain [Formula presented] By the definition of [Formula presented], we get [Formula presented] Then we have the following proposition from the e-invariant λ and Lemma 1.4. [Formula presented] Proposition 1.5 If f extends over [Formula presented], then the following hold. (1) For [Formula presented], [Formula presented].(2) For an odd prime p, [Formula presented]. Actually, nothing is improved by this proposition for odd p. But, for [Formula presented], we obtain the new result since the torsion part of [Formula presented] is annihilated by 4 [2, Corollary (1.22)]. Theorem 1.6 The adjoint bundle [Formula presented] is trivial as a fiberwise [Formula presented]-space if and only if k is divisible by [Formula presented]. From this result, one may expect that we can derive the classification of 2-local [Formula presented]-types of the gauge groups. But, to distinguish between [Formula presented] and [Formula presented] as [Formula presented]-spaces, we need some new technique. So, we leave this problem for now. The author would like to apologise for any inconvenience caused.

    DOI： 10.1016/j.topol.2018.04.012

  • SAMELSON PRODUCTS IN p-REGULAR SO(2n) ANDITS HOMOTOPY NORMALITY Reviewed

    Daisuke Kishimoto, Mitsunobu Tsutaya

    GLASGOW MATHEMATICAL JOURNAL   60 ( 1 )   165 - 174   2018.1

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    DOI： 10.1017/S001708951600063X

  • The homotopy types of G(2)-gauge groups Reviewed

    Daisuke Kishimoto, Stephen Theriault, Mitsunobu Tsutaya

    TOPOLOGY AND ITS APPLICATIONS   228   92 - 107   2017.9

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    DOI： 10.1016/j.topol.2017.05.012

  • Higher homotopy commutativity in localized Lie groups and gauge groups

    Sho Hasui, Daisuke Kishimoto, Mitsunobu Tsutaya

    Homology, Homotopy and Applications   21 ( 1 )   107 - 128   2016.12

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    DOI： 10.4310/HHA.2019.v21.n1.a6

  • Infiniteness of A(infinity)-types of gauge groups Reviewed

    Daisuke Kishimoto, Mitsunobu Tsutaya

    JOURNAL OF TOPOLOGY   9 ( 1 )   181 - 191   2016.3

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    DOI： 10.1112/jtopol/jtv025

  • Homotopy pullback of A(n)-spaces and its applications to A(n)-types of gauge groups Reviewed

    Mitsunobu Tsutaya

    TOPOLOGY AND ITS APPLICATIONS   187   1 - 25   2015.6

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    DOI： 10.1016/j.topol.2015.02.014

  • On Localized Unstable K-1-groups and Applications to Self-homotopy Groups Reviewed

    Daisuke Kishimoto, Akira Kono, Mitsunobu Tsutaya

    CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES   57 ( 2 )   344 - 356   2014.6

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    DOI： 10.4153/CMB-2013-038-8

  • Samelson products in p-regular SO(2n) and its homotopy normality

    Daisuke Kishimoto, Mitsunobu Tsutaya

    2014.5

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    DOI： 10.1017/S001708951600063X

  • On p-local homotopy types of gauge groups Reviewed

    Daisuke Kishimoto, Akira Kono, Mitsunobu Tsutaya

    PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS   144 ( 1 )   149 - 160   2014.2

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    DOI： 10.1017/S0308210512001278

  • A note on homotopy types of connected components of Map (S-4, BSU (2)) Reviewed

    Mitsunobu Tsutaya

    JOURNAL OF PURE AND APPLIED ALGEBRA   216 ( 4 )   826 - 832   2012.4

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    DOI： 10.1016/j.jpaa.2011.10.020

  • Finiteness of A(n)-equivalence types of gauge groups Reviewed

    Mitsunobu Tsutaya

    JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES   85 ( 1 )   142 - 164   2012.2

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    DOI： 10.1112/jlms/jdr040

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Presentations

  • Homotopy type of the space of finite propagation unitary operators on Z International conference

    Mitsunobu Tsutaya

    Southampton-Kyoto Workshop II  2020.12 

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    Event date： 2020.12

    Language：English   Presentation type：Oral presentation (general)  

    Country：Japan  

  • Homotopy types of spaces of finite propagation unitary operators on Z International conference

    Mitsunobu Tsutaya

    WORKSHOP: unitary operators: spectral and topological properties  2020.9 

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    Event date： 2020.9

    Language：English   Presentation type：Oral presentation (general)  

    Country：Japan  

    Homotopy types of spaces of finite propagation unitary operators on Z

  • Unstable homotopy types of spaces of finite propagation unitary operators on Z

    2020.9 

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    Event date： 2020.9

    Language：Japanese   Presentation type：Public lecture, seminar, tutorial, course, or other speech  

    Country：Japan  

    Unstable homotopy types of spaces of finite propagation unitary operators on Z

  • Characterizations of homotopy fiber inclusion International conference

    Mitsunobu Tsutaya

    Homotopy Theory Symposium  2019.11 

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    Event date： 2019.11

    Language：English   Presentation type：Oral presentation (general)  

    Country：Japan  

  • De Rham cohomology of the weak stable foliation of the geodesic flow of a hyperbolic surface Invited

    2019.9 

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    Event date： 2019.9

    Language：Japanese   Presentation type：Oral presentation (general)  

    Country：Japan  

  • Homotopy thoery of An-spaces in Lie groups Invited

    2019.6 

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    Event date： 2019.6

    Language：Japanese   Presentation type：Oral presentation (general)  

    Country：Japan  

  • On the cohomology of the orbit foliation of certain group action on the unit circle bundle of a closed hyperbolic surface

    2018.12 

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    Event date： 2018.12

    Language：Japanese   Presentation type：Oral presentation (general)  

    Country：Japan  

  • Pontryagin–Thom construction in topological coincidence theory

    ホモトピー沖縄  2018.9 

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    Event date： 2018.9

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：沖縄県青年会館   Country：Japan  

  • An-maps and mapping spaces Invited International conference

    Mitsunobu Tsutaya

    Mapping Spaces in Algebraic Topology  2018.8 

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    Event date： 2018.8

    Language：English   Presentation type：Oral presentation (general)  

    Country：Japan  

  • Mapping spaces from projective spaces International conference

    Mitsunobu Tsutaya

    International Conference on Manifolds, Groups and Homotopy  2018.6 

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    Event date： 2018.6

    Language：English   Presentation type：Oral presentation (general)  

    Country：United Kingdom  

  • Tfn-property of BSU(2) and relation to fiberwise An-triviality

    2018.1 

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    Event date： 2018.1

    Language：Japanese   Presentation type：Oral presentation (general)  

    Country：Japan  

  • Higher homotopy commutativity in localized Lie groups and gauge groups

    2017.11 

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    Event date： 2017.11

    Language：Japanese   Presentation type：Oral presentation (general)  

    Country：Japan  

  • Homotopy theoretic classifications of gauge groups Invited International conference

    Mitsunobu Tsutaya

    Young Researchers in Homotopy Theory and Toric Topology 2017  2017.8 

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    Event date： 2017.8

    Language：English   Presentation type：Oral presentation (general)  

    Country：Japan  

  • Applications of Stasheff's A∞-theory to Lie groups Invited

    蔦谷充伸

    日本数学会2017年度年会  2017.3 

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    Event date： 2017.3

    Language：Japanese   Presentation type：Oral presentation (invited, special)  

    Venue：首都大学東京   Country：Japan  

  • Infiniteness of A∞-types of gauge groups International conference

    2017.2 

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    Event date： 2017.2

    Language：English   Presentation type：Oral presentation (general)  

    Venue：Autonomous University of Barcelona   Country：Spain  

  • Higher homotopy commutativity in localized Lie groups and gauge groups International conference

    Mitsunobu Tsutaya

    Topology & Malaga Meeting  2017.2 

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    Event date： 2017.2

    Language：English   Presentation type：Oral presentation (general)  

    Country：Spain  

  • Stasheff's An-structure and related topics

    2016.12 

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    Event date： 2016.12

    Language：Japanese   Presentation type：Oral presentation (general)  

    Country：Japan  

  • Coincidence Reidemeister trace and its generalization

    Group Action and Topology  2016.12 

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    Event date： 2016.12

    Language：Japanese   Presentation type：Oral presentation (general)  

    Country：Japan  

  • Coincidence Reidemeister trace and its generalization

    2016.11 

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    Event date： 2016.11

    Language：Japanese   Presentation type：Oral presentation (general)  

    Country：Japan  

  • Finiteness of An-equivalence types of gauge groups

    2016.9 

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    Event date： 2016.9

    Language：Japanese   Presentation type：Oral presentation (general)  

    Country：Japan  

  • Reidemeister trace and its generalization

    2016.9 

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    Event date： 2016.9

    Language：Japanese   Presentation type：Public lecture, seminar, tutorial, course, or other speech  

    Country：Japan  

  • On the homotopy types of the spaces of maps to classifying spaces

    Matsuyama Seminar on Topology, Geometry, Set theory and their Applications  2016.7 

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    Event date： 2016.7

    Language：Japanese   Presentation type：Public lecture, seminar, tutorial, course, or other speech  

    Country：Japan  

  • Homotopy theoretic classification of gauge groups

    2016.5 

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    Event date： 2016.5 - 2016.7

    Language：Japanese   Presentation type：Public lecture, seminar, tutorial, course, or other speech  

    Country：Japan  

  • Mapping spaces from projective spaces

    2016.4 

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    Country：Japan  

    The A_n-structure (n=1,2,...,∞) of a topological group describes certain higher homotopy structure concerned with its binary operation. It has some relation with a generalization of projective spaces and homotopy invariants such as LS-category. The notion

  • An associative model of homotopy coherent functors and natural transforamations

    Mitsunobu Tsutaya

    2023.2 

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    Event date： 2023.2

    Language：English   Presentation type：Oral presentation (general)  

    Country：Japan  

    An associative model of homotopy coherent functors and natural transforamations

  • Finite propagation operators and Hilbert bundles with end International conference

    @Mitsunobu Tsutaya

    Topology Seminar  2022.9 

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    Event date： 2022.9

    Language：English   Presentation type：Public lecture, seminar, tutorial, course, or other speech  

    Country：United Kingdom  

  • Higher homotopy normalities in topological groups International conference

    Mitsunobu Tsutaya

    Classifying spaces in homotopy theory: in honour of Ran Levi's 60th Birthday  2022.9 

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    Event date： 2022.9

    Language：English   Presentation type：Oral presentation (general)  

    Country：United Kingdom  

  • Homotopy normalities in topological groups

    2021.12 

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    Event date： 2021.12

    Language：Japanese   Presentation type：Oral presentation (general)  

    Country：Japan  

  • Finite propagation operators and Hilbert bundles with end

    2021.6 

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    Event date： 2021.6

    Language：Japanese   Presentation type：Oral presentation (general)  

    Country：Japan  

  • Higher homotopy normalities in topological groups

    2023.8 

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    Country：Japan  

  • Homotopy types of spaces of finite propagation unitary operators on Z International conference

    CREST Research Seminar on "Theoretical studies of topological phases of matter"  2023.10 

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    Language：English  

    Country：Japan  

  • Higher homotopy normalities in topological groups

    2023.11 

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    Country：Japan  

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MISC

  • Higher homotopy normalities in topological groups

    Mitsunobu Tsutaya

    2021.11

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  • Hilbert bundles with ends

    Tsuyoshi Kato, Daisuke Kishimoto, Mitsunobu Tsutaya

    Journal of Topology and Analysis   2021.5

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    DOI： 10.1142/S1793525321500680

  • De Rham cohomology of the weak stable foliation of the geodesic flow of a hyperbolic surface

    Hirokazu Maruhashi, Mitsunobu Tsutaya

    2021.3

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  • Homotopy type of the unitary group of the uniform Roe algebra on $mathbb{Z}^n$

    Tsuyoshi Kato, Daisuke Kishimoto, Mitsunobu Tsutaya

    Journal of Topology and Analysis   2021.2

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    DOI： 10.1142/S1793525321500357

  • Tverberg's theorem for cell complexes

    Sho Hasui, Daisuke Kishimoto, Masahiro Takeda, Mitsunobu Tsutaya

    2021.1

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  • $G$-index, topological dynamics and marker property

    Masaki Tsukamoto, Mitsunobu Tsutaya, Masahiko Yoshinaga

    2020.12

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    Language：Others  

  • Homotopy type of the space of finite propagation unitary operators on $mathbb{Z}$

    Tsuyoshi Kato, Daisuke Kishimoto, Mitsunobu Tsutaya

    2020.7

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  • Higher homotopy commutativity in localized Lie groups and gauge groups

    Sho Hasui, Daisuke Kishimoto, Mitsunobu Tsutaya

    Homology, Homotopy and Applications   2016.12

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    Language：Others  

    DOI： 10.4310/HHA.2019.v21.n1.a6

  • Coincidence Reidemeister trace and its generalization

    Mitsunobu Tsutaya

    2016.6

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  • ON EVALUATION FIBER SEQUENCES (The Topology and the Algebraic Structures of Transformation Groups)

    2014.10

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    ON EVALUATION FIBER SEQUENCES (The Topology and the Algebraic Structures of Transformation Groups)

  • ON EVALUATION FIBER SEQUENCES (The Topology and the Algebraic Structures of Transformation Groups)

    2014.10

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    ON EVALUATION FIBER SEQUENCES (The Topology and the Algebraic Structures of Transformation Groups)

  • Samelson products in p-regular SO(2n) and its homotopy normality

    Daisuke Kishimoto, Mitsunobu Tsutaya

    2014.5

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    DOI： 10.1017/S001708951600063X

  • On p-local homotopy types of gauge groups Reviewed

    Daisuke Kishimoto, Akira Kono, Mitsunobu Tsutaya

    PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS   2014.2

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    Language：English  

    DOI： 10.1017/S0308210512001278

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Professional Memberships

  • The Mathematical Society of Japan

Academic Activities

  • 世話人

    福岡ホモトピー論セミナー  （ 西新プラザ ） 2024.2 - Present

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    Type：Competition, symposium, etc. 

  • 世話人

    多様体と写像空間の代数トポロジー  （ 岡山県岡山市　オルガビル4F ） 2023.11 - Present

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    Type：Competition, symposium, etc. 

  • Screening of academic papers

    Role(s)： Peer review

    2023

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    Type：Peer review 

    Number of peer-reviewed articles in foreign language journals：5

    Number of peer-reviewed articles in Japanese journals：0

    Proceedings of International Conference Number of peer-reviewed papers：0

    Proceedings of domestic conference Number of peer-reviewed papers：0

  • Screening of academic papers

    Role(s)： Peer review

    2022

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    Type：Peer review 

    Number of peer-reviewed articles in foreign language journals：1

  • 世話人

    ホモトピー論シンポジウム  （ オンライン ） 2021.11

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    Type：Competition, symposium, etc. 

    Number of participants：70

  • Screening of academic papers

    Role(s)： Peer review

    2021

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    Type：Peer review 

    Number of peer-reviewed articles in foreign language journals：4

  • 世話人

    ホモトピー論シンポジウム  2020.11

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    Type：Competition, symposium, etc. 

    Number of participants：50

  • Screening of academic papers

    Role(s)： Peer review

    2020

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    Type：Peer review 

    Number of peer-reviewed articles in foreign language journals：1

  • Screening of academic papers

    Role(s)： Peer review

    2019

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    Type：Peer review 

    Number of peer-reviewed articles in foreign language journals：3

  • 数学

    2018.4 - 2022.3

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    Type：Academic society, research group, etc. 

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Research Projects

  • Topological Complexity and A-infinity structure

    Grant number：23K03093  2023.4 - 2027.3

    Grants-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research (C)

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    Grant type：Scientific research funding

    CiNii Research

  • 高次ホモトピー正規性とファイバーワイズホモトピー

    Grant number：22K03317  2022 - 2024

    日本学術振興会  科学研究費助成事業  基盤研究(C)

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    Grant type：Scientific research funding

  • 高次ホモトピー正規性とファイバーワイズホモトピー

    Grant number：22K03317  2022 - 2024

    日本学術振興会  科学研究費助成事業  基盤研究(C)

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    Authorship：Principal investigator  Grant type：Scientific research funding

  • ファイバーワイズA無限大構造の研究

    Grant number：19K14535  2019 - 2021

    日本学術振興会  科学研究費助成事業  基盤研究(C)

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    Grant type：Scientific research funding

  • ファイバーワイズA無限大構造の研究

    Grant number：19K14535  2019 - 2021

    日本学術振興会  科学研究費助成事業  若手研究

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    Authorship：Principal investigator  Grant type：Scientific research funding

  • Ａ無限構造の亜群への応用と不動点理論

    Grant number：16J00518  2016 - 2018

    日本学術振興会  科学研究費助成事業  基盤研究(C)

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    Grant type：Scientific research funding

  • ループ空間の高次ホモトピー構造の研究

    Grant number：16K17592  2016 - 2018

    科学研究費助成事業  若手研究(B)

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    Authorship：Principal investigator  Grant type：Scientific research funding

  • ループ空間の高次ホモトピー構造の研究

    Grant number：16K17592  2016 - 2018

    日本学術振興会  科学研究費助成事業  基盤研究(C)

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    Grant type：Scientific research funding

  • オペラードを用いた種々の写像空間の研究

    Grant number：10J01265  2010 - 2012

    日本学術振興会  科学研究費助成事業  基盤研究(C)

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    Grant type：Scientific research funding

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Educational Activities

  • I teach mathematics in the university. In particular, I teach linear algebra, differential calculus and courses related to topology.
    I also advises graduate students who study algebraic topology.

Class subject

  • 線形代数学Ⅱ

    2023.10 - 2024.3   Second semester

  • 数学演習ＡⅡ

    2023.10 - 2024.3   Second semester

  • 線形代数学Ⅰ

    2023.4 - 2023.9   First semester

  • 数学演習ＡⅠ

    2023.4 - 2023.9   First semester

  • 線形代数続論

    2023.4 - 2023.9   First semester

  • 数理科学特論９

    2022.10 - 2023.3   Second semester

  • コアセミナーⅡ

    2022.10 - 2023.3   Second semester

  • 微分積分学Ⅱ

    2022.10 - 2023.3   Second semester

  • 数理科学特別講義Ⅸ

    2022.10 - 2023.3   Second semester

  • 位相幾何学基礎・演習

    2022.10 - 2023.3   Second semester

  • 微分積分学Ⅰ

    2022.4 - 2022.9   First semester

  • 線形代数続論

    2022.4 - 2022.9   First semester

  • 位相幾何学基礎・演習

    2021.10 - 2022.3   Second semester

  • コアセミナーⅡ

    2021.10 - 2022.3   Second semester

  • 微分積分学・同演習Ⅲ

    2021.4 - 2021.9   First semester

  • 数学演習Ⅱ

    2021.4 - 2021.9   First semester

  • 幾何学Ⅱ・演習

    2020.10 - 2021.3   Second semester

  • 幾何学Ⅱ・演習

    2019.10 - 2020.3   Second semester

  • 幾何学Ⅰ・演習

    2019.4 - 2019.9   First semester

  • 微分積分学・同演習Ⅲ

    2019.4 - 2019.9   First semester

  • 微分積分学・同演習Ⅲ

    2019.4 - 2019.9   First semester

  • 微分積分学・同演習Ⅲ

    2019.4 - 2019.9   First semester

  • 微分積分学・同演III

    2019.4 - 2019.9   First semester

  • 微分積分学・同演III

    2019.4 - 2019.9   First semester

  • 微分積分学・同演習Ⅱ

    2018.10 - 2019.3   Second semester

  • 幾何学Ⅱ・演習

    2018.10 - 2019.3   Second semester

  • 微分積分学・同演習Ⅰ

    2018.4 - 2018.9   First semester

  • 幾何学Ⅰ・演習

    2018.4 - 2018.9   First semester

  • 幾何学Ⅱ・演習

    2017.10 - 2018.3   Second semester

  • 数学概論Ⅱ・演習

    2017.4 - 2017.9   First semester

  • 線形代数

    2017.4 - 2017.9   First semester

  • 幾何学Ⅰ・演習

    2017.4 - 2017.9   First semester

  • 数学概論III・演習

    2016.10 - 2017.3   Second semester

  • 数学概論I・演習

    2016.4 - 2016.9   First semester

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FD Participation

  • 2022.4   Role：Participation   Title：数理学府FD

    Organizer：[Undergraduate school/graduate school/graduate faculty]

  • 2021.3   Role：Participation   Title：数理学府FD

    Organizer：[Undergraduate school/graduate school/graduate faculty]

  • 2019.7   Role：Participation   Title：数理学府FD

    Organizer：[Undergraduate school/graduate school/graduate faculty]

  • 2019.4   Role：Participation   Title：数理学府教員会議

    Organizer：Undergraduate school department

Visiting, concurrent, or part-time lecturers at other universities, institutions, etc.

  • 2019  京都大学大学院理学研究科数学教室  Classification:Intensive course  Domestic/International Classification:Japan 

    Semester, Day Time or Duration：6/24～28

Social Activities

  • 基本群入門

    九州大学 大学院数理学研究院、マス・フォア・インダストリ研究所  九州大学伊都キャンパスウエスト1号館D413IMIオーディトリアム  2022.9

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    Audience： General,　Scientific,　Company,　Civic organization,　Governmental agency

    Type：Lecture

Travel Abroad

  • 2023.9

    Staying countory name 1：United Kingdom   Staying institution name 1：University of Edinburgh

    Staying institution name 2：University of Aberdeen