Updated on 2024/10/11

Information

 

写真a

 
KISHIMOTO DAISUKE
 
Organization
Faculty of Mathematics Division of Algebra and Geometry Professor
School of Sciences Department of Mathematics（Concurrent）
Graduate School of Mathematics Department of Mathematics（Concurrent）
Joint Graduate School of Mathematics for Innovation （Concurrent）
Title
Professor
Contact information
メールアドレス
Profile
We can often distinguish things from their rough properties, without looking into the precise information. For example, we can say that the symbols 0 and 8 have different shapes as the numbers of circles included in them are different. In algebraic topology, we define rough structures as those invariant under continuous deformation, and like the example above, we study such rough structures by describing them in terms of numbers and algebras. I am studying algebraic and combinatorial structures of spaces and spaces constructed combinatorially, from the viewpoint of algebraic topology.
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Degree

  • Doctor (Science)

Research History

  • Kyoto University

Research Interests・Research Keywords

  • Research theme：I am an algebraic topologist. In algebraic topology, we study properties of spaces which are invariant under bending, stretching, and sometimes more hard deformations, by representing them algebraically. Iam studying algebraic and combinatorial structures inherent in spaces such as the A_\infty structure. I am also studying spaces constructed combinatorially such as a subspace arrangement from a view of algebraic topology.

    Keyword：Topology, Algebraic Topology, Combinatorial Algebraic Topology

    Research period： 2001.4 - 2032.12

Papers

  • Tverberg's theorem for cell complexes Reviewed International journal

    S. Hasui, D. Kishimoto, M. Takeda, and M. Tsutaya

    Bull. Lond. Math. Soc.   55 ( no. 4 )   1944 - 1956   2023.1

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    Language：English   Publishing type：Research paper (scientific journal)  

  • Spaces of commuting elements in the classical groups Reviewed International journal

    D. Kishimoto and M. Takeda

    Adv. Math.   386   2021.1

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    Language：English   Publishing type：Research paper (scientific journal)  

  • Fat-wedge filtration and decomposition of polyhedral products Reviewed International journal

    K. Iriye and D. Kishimoto

    Kyoto J. Math.   59 ( no. 1 )   1 - 51   2019.1

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    Language：English   Publishing type：Research paper (scientific journal)  

  • Infiniteness of A∞-types of gauge groups Reviewed International journal

    9 ( no. 1 )   181 - 191   2016.1

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    Language：English   Publishing type：Research paper (scientific journal)  

  • KO-theory of complex partial flag manifolds Reviewed International journal

    D. Kishimoto, A. Kono, and A. Ohsita

    Q. J. Math.   65 ( no. 2 )   327 - 338   2014.1

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    Language：English   Publishing type：Research paper (scientific journal)  

  • Decompositions of polyhedral products for shifted complexes Reviewed International journal

    K. Iriye and D. Kishimoto

    Adv. Math.   245   716 - 736   2013.1

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    Language：English   Publishing type：Research paper (scientific journal)  

  • Splitting of gauge groups Reviewed International journal

    D. Kishimoto and A. Kono

    Trans. Amer. Math. Soc.   362 ( no. 12 )   6715 - 6731   2010.1

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    Language：English   Publishing type：Research paper (scientific journal)  

  • Homotopy nilpotency in p-regular loop spaces Reviewed International journal

    S. Kaji and D. Kishimoto

    Math. Z.   264 ( no. 1 )   209 - 224   2010.1

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    Language：English   Publishing type：Research paper (scientific journal)  

  • On the cohomology of free and twisted loop spaces Reviewed International journal

    D. Kishimoto and A. Kono

    J. Pure Appl. Algebra   214 ( no. 5 )   646 - 653   2010.1

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    Language：English   Publishing type：Research paper (scientific journal)  

  • A short elementary proof of Beben and Theriault's theorem on homotopy fibers

    Kishimoto D., Minowa Y.

    Topology and its Applications   355   2024.10   （ ISSN:01668641 ）

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    Publisher：Topology and its Applications  

    Beben and Theriault proved a theorem on the homotopy fiber of an extension of a map with respect to a cone attachment, which has produced several applications. We give a short and elementary proof of this theorem.

    DOI： 10.1016/j.topol.2024.108998

    Scopus

  • Homotopy commutativity in symmetric spaces

    Kishimoto, D; Minowa, Y; Miyauchi, T; Tong, YC

    BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA   30 ( 2 )   2024.7   （ ISSN:1405-213X eISSN:2296-4495 ）

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    Publisher：Boletin de la Sociedad Matematica Mexicana  

    We extend previous results of Ganea and the two of the authors with Takeda on the homotopy commutativity of the loop spaces of Hermitian symmetric spaces to show that the loop spaces of all irreducible symmetric spaces but CP3 are not homotopy commutative.

    DOI： 10.1007/s40590-024-00616-5

    Web of Science

    Scopus

  • Torsion in the space of commuting elements in a Lie group

    Kishimoto, D; Takeda, M

    CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES   76 ( 3 )   1033 - 1061   2024.6   （ ISSN:0008-414X eISSN:1496-4279 ）

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    Publisher：Canadian Journal of Mathematics  

    Let G be a compact connected Lie group, and let be the space of pairwise commuting m-tuples in G. We study the problem of which primes, the connected component of containing the element, has p-torsion in homology. We will prove that for has p-torsion in homology if and only if p divides the order of the Weyl group of G for and some exceptional groups. We will also compute the top homology of and show that always has 2-torsion in homology whenever G is simply-connected and simple. Our computation is based on a new homotopy decomposition of, which is of independent interest and enables us to connect torsion in homology to the combinatorics of the Weyl group.

    DOI： 10.4153/S0008414X23000317

    Web of Science

    Scopus

  • Hilbert bundles with ends

    Kato, T; Kishimoto, D; Tsutaya, M

    JOURNAL OF TOPOLOGY AND ANALYSIS   16 ( 02 )   291 - 322   2024.6   （ ISSN:1793-5253 eISSN:1793-7167 ）

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    Publisher：Journal of Topology and Analysis  

    Given a countable metric space, we can consider its end. Then a basis of a Hilbert space indexed by the metric space defines an end of the Hilbert space, which is a new notion and different from an end as a metric space. Such an indexed basis also defines unitary operators of finite propagation, and these operators preserve an end of a Hilbert space. Then, we can define a Hilbert bundle with end, which lightens up new structures of Hilbert bundles. In a special case, we can define characteristic classes of Hilbert bundles with ends, which are new invariants of Hilbert bundles. We show Hilbert bundles with ends appear in natural contexts. First, we generalize the pushforward of a vector bundle along a finite covering to an infinite covering, which is a Hilbert bundle with end under a mild condition. Then we compute characteristic classes of some pushforwards along infinite coverings. Next, we will show the spectral decompositions of nice differential operators give rise to Hilbert bundles with ends, which elucidate new features of spectral decompositions. The spectral decompositions we will consider are the Fourier transform and the harmonic oscillators.

    DOI： 10.1142/S1793525321500680

    Web of Science

    Scopus

  • Tight Complexes Are Golod

    Iriye, K; Kishimoto, D

    INTERNATIONAL MATHEMATICS RESEARCH NOTICES   2024 ( 8 )   6471 - 6495   2024.4   （ ISSN:1073-7928 eISSN:1687-0247 ）

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    Publisher：International Mathematics Research Notices  

    Golodness of a simplicial complex is defined algebraically in terms of the Stanley–Reisner ring, and it has been a long-standing problem to find its combinatorial characterization. Tightness of a simplicial complex is a combinatorial analogue of a tight embedding of a manifold into Euclidean space, and has been studied in connection to minimal manifold triangulations. In this paper, by using an idea from toric topology, we prove that tight complexes are Golod, and as a corollary, we obtain that a triangulation of a closed connected orientable manifold is Golod if and only if it is tight, which is a combinatorial characterization of Golodness for manifold triangulations.

    DOI： 10.1093/imrn/rnad221

    Web of Science

    Scopus

  • van Kampen-Flores Theorem for Cell Complexes

    Kishimoto, D; Matsushita, T

    DISCRETE & COMPUTATIONAL GEOMETRY   71 ( 3 )   1081 - 1091   2024.4   （ ISSN:0179-5376 eISSN:1432-0444 ）

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    Publisher：Discrete and Computational Geometry  

    The van Kampen–Flores theorem states that the n-skeleton of a (2n+2)-simplex does not embed into R2n. We give two proofs for its generalization to a continuous map from a skeleton of a certain regular CW complex (e.g. a simplicial sphere) into a Euclidean space. We will also generalize Frick and Harrison’s result on the chirality of embeddings of the n-skeleton of a (2n+2)-simplex into R2n+1.

    DOI： 10.1007/s00454-023-00559-0

    Web of Science

    Scopus

  • The mod-<i>p</i> homology of the classifying spaces of certain gauge groups

    Kishimoto, D; Theriault, S

    PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS   153 ( 6 )   1805 - 1817   2023.12   （ ISSN:0308-2105 eISSN:1473-7124 ）

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    Publisher：Proceedings of the Royal Society of Edinburgh Section A: Mathematics  

    Let G be a compact connected simple Lie group of type (n1, . . . , nl), where n1 < … < nl. Let Gk be the gauge group of the principal G-bundle over S4 corresponding to k ∈ π3(G) Z. We calculate the mod-p homology of the classifying space BGk provided that nl < p. 1.

    DOI： 10.1017/prm.2022.61

    Web of Science

    Scopus

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

    Kishimoto, D; Takeda, M; Tsutaya, M

    PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS   2023.10   （ ISSN:0308-2105 eISSN:1473-7124 ）

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    Publisher：Proceedings of the Royal Society of Edinburgh Section A: Mathematics  

    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

  • Tverberg's theorem for cell complexes

    Hasui, S; Kishimoto, D; Takeda, M; Tsutaya, M

    BULLETIN OF THE LONDON MATHEMATICAL SOCIETY   55 ( 4 )   1944 - 1956   2023.8   （ ISSN:0024-6093 eISSN:1469-2120 ）

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    Publisher：Bulletin of the London Mathematical Society  

    The topological Tverberg theorem states that any continuous map of a (Formula presented.) -simplex into the Euclidean (Formula presented.) -space maps some points from (Formula presented.) pairwise disjoint faces of the simplex to the same point whenever (Formula presented.) is a prime power. We substantially generalize this theorem to continuous maps of certain CW complexes, including simplicial (Formula presented.) -spheres, into the Euclidean (Formula presented.) -space. We also discuss the atomicity of the Tverberg property.

    DOI： 10.1112/blms.12829

    Web of Science

    Scopus

  • Homotopy type of the unitary group of the uniform Roe algebra on Z<SUP>n</SUP>

    Kato, T; Kishimoto, D; Tsutaya, M

    JOURNAL OF TOPOLOGY AND ANALYSIS   15 ( 02 )   495 - 512   2023.6   （ ISSN:1793-5253 eISSN:1793-7167 ）

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    Publisher：Journal of Topology and Analysis  

    We study the homotopy type of the space of the unitary group U1(C* u(|Zn|)) of the uniform Roe algebra C* u(|Zn|) of Zn. We show that the stabilizing map U1(C* u(|Zn|)) ? U8(C* u(|Zn|)) is a homotopy equivalence. Moreover, when n = 1, 2, we determine the homotopy type of U1(C* u(|Zn|)), which is the product of the unitary group U1(C*(|Zn|)) (having the homotopy type of U8(C) or Z B U8(C) depending on the parity of n) of the Roe algebra C*(|Zn|) and rational Eilenberg-MacLane spaces;copy 2023 World Scientific Publishing Company.

    DOI： 10.1142/S1793525321500357

    Web of Science

    Scopus

  • Homotopy types of gauge groups over Riemann surfaces Reviewed International journal

    M. Kameko, D. Kishimoto, and M. Takeda

    Algebr. Geom. Topol.   23 ( no. 5 )   2309 - 2327   2023.1

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  • Homotopy type of the unitary group of the uniform Roe algebra on Z^n Reviewed International journal

    T. Kato, D. Kishimoto, and M. Tsutaya

    J. Topol. Anal.   15 ( no. 2 )   495 - 512   2023.1

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

    T. Kato, D. Kishimoto, and M. Tsutaya

    Homology Homotopy Appl.   25 ( no. 1 )   375 - 400   2023.1

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  • Golod and tight 3-manifolds Reviewed International journal

    K. Iriye and D. Kishimoto

    Algebr. Geom. Topol.   23 ( no. 5 )   2191 - 2212   2023.1

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  • Homotopy types of gauge groups over Riemann surfaces

    Kameko, M; Kishimoto, D; Takeda, M

    ALGEBRAIC AND GEOMETRIC TOPOLOGY   23 ( 5 )   2309 - 2327   2023   （ ISSN:1472-2739 ）

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    Publisher：Algebraic and Geometric Topology  

    Let G be a compact connected Lie group with1.G/ Š Z. We study the homotopy types of gauge groups of principal G–bundles over Riemann surfaces. This can be applied to an explicit computation of the homotopy groups of the moduli spaces of stable vector bundles over Riemann surfaces.

    DOI： 10.2140/agt.2023.23.2309

    Web of Science

    Scopus

  • HOMOTOPY TYPE OF THE SPACE OF FINITE PROPAGATION UNITARY OPERATORS ON Z

    Kato, T; Kishimoto, D; Tsutaya, M

    HOMOLOGY HOMOTOPY AND APPLICATIONS   25 ( 1 )   375 - 400   2023   （ ISSN:1532-0073 eISSN:1532-0081 ）

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    Publisher：Homology, Homotopy and Applications  

    The index theory for the space of finite propagation unitary operators was developed by Gross, Nesme, Vogts and Werner from the viewpoint of quantum walks in mathematical physics. In particular, they proved that π0 of the space is determined by the index. However, nothing is known about the higher homotopy groups. In this article, we describe the homotopy type of the space of finite propagation unitary operators on the Hilbert space of square summable C-valued Z-sequences, so we can determine its homotopy groups. We also study the space of (end-)periodic finite propagation unitary operators.

    DOI： 10.4310/HHA.2023.v25.n1.a20

    Web of Science

    Scopus

  • Golod and tight 3-manifolds

    Iriye, K; Kishimoto, D

    ALGEBRAIC AND GEOMETRIC TOPOLOGY   23 ( 5 )   2191 - 2212   2023   （ ISSN:1472-2739 ）

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    Publisher：Algebraic and Geometric Topology  

    The notions Golodness and tightness for simplicial complexes come from algebra and geometry, respectively. We prove these two notions are equivalent for 3–manifold triangulations, through a topological characterization of a polyhedral product for a tight-neighborly manifold triangulation of dimension > 3.

    DOI： 10.2140/agt.2023.23.2191

    Web of Science

    Scopus

  • The Stiefel-Whitney classes of moment-angle manifolds are trivial

    Hasui, S; Kishimoto, D; Kizu, A

    FORUM MATHEMATICUM   34 ( 6 )   1463 - 1474   2022.11   （ ISSN:0933-7741 eISSN:1435-5337 ）

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    Publisher：Forum Mathematicum  

    We prove that the Stiefel-Whitney classes of a moment-angle manifold, not necessarily smooth, are trivial. We also consider Stiefel-Whitney classes of the partial quotient of a moment-angle manifold.

    DOI： 10.1515/forum-2021-0267

    Web of Science

    Scopus

  • 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

  • Homotopy commutativity in Hermitian symmetric spaces

    Kishimoto D., Takeda M., Tong Y.

    Glasgow Mathematical Journal   64 ( 3 )   746 - 752   2022.9   （ ISSN:00170895 ）

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    Publisher：Glasgow Mathematical Journal  

    Ganea proved that the loop space of CPn is homotopy commutative if and only if n = 3. We generalize this result to that the loop spaces of all irreducible Hermitian symmetric spaces but CP3 are not homotopy commutative. The computation also applies to determining the homotopy nilpotency class of the loop spaces of generalized flag manifolds G/T for a maximal torus T of a compact, connected Lie group G.

    DOI： 10.1017/S0017089522000118

    Scopus

  • Polyhedral products over finite posets

    Kishimoto D., Levi R.

    Kyoto Journal of Mathematics   62 ( 3 )   615 - 654   2022.9   （ ISSN:21562261 ）

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    Publisher：Kyoto Journal of Mathematics  

    Polyhedral products were defined by Bahri, Bendersky, Cohen, and Gitler, to be spaces obtained as unions of certain product spaces indexed by the simplices of an abstract simplicial complex. In this paper, we give a very general homotopy theoretic construction of polyhedral products over arbitrary pointed posets.We show that under certain restrictions on the posetP,which include all known cases, the cohomology of the resulting spaces can be computed as an inverse limit over P of the cohomology of the building blocks. This motivates the definition of an analogous algebraic construction - the polyhedral tensor product.We show that for a large family of posets, the cohomology of the polyhedral product is given by the polyhedral tensor product.We then restrict attention to polyhedral posets, a family of posets that includes face posets of simplicial complexes, and simplicial posets, as well as many others.We define the Stanley-Reisner ring of a polyhedral poset and showthat, as in the classical cases, these rings occur as the cohomology of certain polyhedral products over the poset in question. For any pointed poset P, we construct a simplicial poset s(P), and show that if P is a polyhedral poset, then polyhedral products over P coincide up to homotopy with the corresponding polyhedral products over s(P).

    DOI： 10.1215/21562261-2022-0020

    Scopus

  • Polyhedral products over finite posets

    Kishimoto, D; Levi, R

    KYOTO JOURNAL OF MATHEMATICS   62 ( 3 )   615 - 654   2022.9   （ ISSN:2156-2261 eISSN:2154-3321 ）

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  • Jacobi identity in polyhedral products

    Kishimoto, D; Matsushita, T; Yoshise, R

    TOPOLOGY AND ITS APPLICATIONS   312   2022.5   （ ISSN:0166-8641 eISSN:1879-3207 ）

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    Publisher：Topology and its Applications  

    We show that a relation among minimal non-faces of a fillable complex K yields an identity of iterated (higher) Whitehead products in a polyhedral product over K. In particular, for the (n−1)-skeleton of a simplicial n-sphere, we always have such an identity, and for the (n−1)-skeleton of a (n+1)-simplex, the identity is the Jacobi identity of Whitehead products (n=1) and Hardie's identity for higher Whitehead products (n≥2).

    DOI： 10.1016/j.topol.2022.108079

    Web of Science

    Scopus

  • Polyhedral products over finite posets Reviewed International journal

    D. Kishimoto and R. Levi

    Kyoto J. Math.   62 ( no. 3 )   615 - 654   2022.1

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  • Jacobi identity in polyhedral products Reviewed International journal

    D Kishimoto, T. Matsushita, and R. Yoshise

    Topology Appl.   312   2022.1

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  • Homotopy commutativity in Hermitian symmetric spaces Reviewed International journal

    D. Kishimoto, M. Takeda, and Y. Tong

    Glasg. Math. J.   64 ( no. 3 )   746 - 752   2022.1

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    Language：English   Publishing type：Research paper (scientific journal)  

  • The Stiefel-Whitney classes of moment-angle manifolds are trivial Invited Reviewed International journal

    S. Hasui, D. Kishimoto, and A. Kizu

    Forum Math.   34 ( no. 6 )   1463 - 1474   2022.1

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  • Note on Samelson products in exceptional Lie groups Reviewed International journal

    D. Kishimoto, A. Ohsita, and M. Takeda

    Glasg. Math. J.   63 ( no. 3 )   741 - 752   2021.1

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  • Monoids of self-maps of topological spherical space forms Reviewed International journal

    D. Kishimoto and N. Oda

    Homology Homotopy Appl.   23 ( no. 2 )   141 - 149   2021.1

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  • Two-dimensional Golod complexes Reviewed International journal

    K. Iriye and D. Kishimoto

    Homology Homotopy Appl.   3 ( no. 2 )   215 - 226   2021.1

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  • The homotopy types of SO(4)-gauge groups Reviewed International journal

    D. Kishimoto, I. Membrillo-Solis, and S. Theriault

    Eur. J. Math.   7 ( no. 3 )   1245 - 1252   2021.1

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  • Relative phantom maps and rational homotopy Reviewed International journal

    D. Kishimoto and T. Matsushita

    Proc. Amer. Math. Soc.   149 ( no. 9 )   4029 - 4040   2021.1

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  • Higher homotopy associativity in the Harris decomposition of Lie groups Reviewed International journal

    D. Kishimoto and T. Miyauchi

    Proc. Roy. Soc. Edinburgh Sect. A.   150 ( no. 6 )   2982 - 3000   2020.1

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  • Generating functions and topological complexity Reviewed International journal

    M. Farber, D. Kishimoto, and D. Stanley

    Topology Appl.   278   2020.1

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  • Whitehead products in moment-angle complexes Reviewed International journal

    K. Iriye and D. Kishimoto

    J. Math. Soc. Japan   72   1239 - 1257   2020.1

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  • Characterisation of polyhedral products with finite generalised Postnikov decomposition Reviewed International journal

    K. Iriye, D. Kishimoto, and R. Levi

    Forum Math.   32   1253 - 1269   2020.1

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  • On the growth of topological complexity Reviewed International journal

    D. Kishimoto and A. Yamaguchi

    J. Appl. Comput. Topol.   4 ( no. 4 )   525 - 532   2020.1

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  • Right-angled Coxeter quandles and polyhedral products Reviewed International journal

    D. Kishimoto

    Proc. Amer. Math. Soc.   147 ( no. 9 )   3715 - 3727   2019.1

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  • Higher homotopy commutativity in localized Lie groups and gauge groups Reviewed International journal

    S. Hasui, D. Kishimoto, and M. Tsutaya

    Homology Homotopy Appl.   21 ( no. 1 )   107 - 128   2019.1

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  • Odd primary homotopy types of the gauge groups of exceptional Lie groups Reviewed International journal

    S. Hasui, D. Kishimoto, T. So, and S. Theriault

    Proc. Amer. Math. Soc.   147 ( no. 4 )   1751 - 1762   2019.1

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  • Relative phantom maps Reviewed International journal

    K. Iriye, D. Kishimoto, and T. Matsushita

    Algebr. Geom. Topol.   19 ( no. 1 )   341 - 362   2019.1

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  • On the homotopy types of Sp(n) gauge groups Reviewed International journal

    D. Kishimoto and A. Kono

    Algebr. Geom. Topol.   19 ( no. 1 )   491 - 502   2019.1

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    Language：English   Publishing type：Research paper (scientific journal)  

  • Samelson products in quasi-p-regular exceptional Lie groups Reviewed International journal

    S. Hasui, D. Kishimoto, T. Miyauchi, and A. Ohsita

    Homology Homotopy Appl.   20 ( no. 1 )   185 - 208   2018.1

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

    D. Kishimoto and M. Tsutaya

    Glasg. Math. J.   60 ( no. 1 )   165 - 174   2018.1

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  • Golodness and polyhedral products for two-dimensional simplicial complexes Reviewed International journal

    K. Iriye and D. Kishimoto

    Forum Math.   30 ( no. 2 )   527 - 532   2018.1

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  • Golodness and polyhedral products of simplicial complexes with minimal Taylor resolutions Reviewed International journal

    K. Iriye and D. Kishimoto

    Homology Homotopy Appl.   20 ( no. 1 )   69 - 78   2018.1

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  • p-local stable splitting of quasitoric manifolds Reviewed International journal

    S. Hasui, D. Kishimoto, and T. Sato

    Osaka J. Math.   53 ( no. 3 )   843 - 854   2017.1

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  • p-local stable cohomological rigidity of quasitoric manifolds Reviewed International journal

    S. Hasui and D. Kishimoto

    Osaka J. Math.   54 ( no. 2 )   343 - 350   2017.1

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  • The homotopy types of G2-gauge groups Reviewed International journal

    D. Kishimoto, S. Theriault, and M. Tsutaya

    Topology Appl.   228   92 - 107   2017.1

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  • Decompositions of suspensions of spaces involving polyhedral products Reviewed International journal

    K. Iriye and D. Kishimoto

    Algebr. Geom. Topol.   16 ( no. 2 )   825 - 841   2016.1

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  • The homotopy types of PU(3)- and PSp(2)-gauge groups Reviewed International journal

    S. Hasui, D. Kishimoto, A. Kono, and T. Sato

    Algebr. Geom. Topol.   16 ( no. 3 )   1813 - 1825   2016.1

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    Language：English   Publishing type：Research paper (scientific journal)  

  • Samelson products in p-regular exceptional Lie groups Reviewed International journal

    S. Hasui, D. Kishimoto, and A. Ohsita

    Topology Appl.   178   17 - 29   2014.1

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    Language：English   Publishing type：Research paper (scientific journal)  

  • On p-local homotopy types of gauge groups Reviewed International journal

    D. Kishimoto, A. Kono, and M. Tsutaya

    Proc. Roy. Soc. Edinburgh Sect. A   144 ( no. 1 )   149 - 160   2014.1

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    Language：English   Publishing type：Research paper (scientific journal)  

  • Postnikov towers with fibers generalized Eilenberg-MacLane spaces Reviewed International journal

    K. Iriye and D. Kishimoto

    Homology Homotopy Appl.   16 ( no. 1 )   139 - 157   2014.1

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    Language：English   Publishing type：Research paper (scientific journal)  

  • On localized unstable K1-groups and applications to self-homotopy groups Reviewed International journal

    D. Kishimoto, A. Kono, and M. Tsutaya

    Canad. Math. Bull.   57 ( no. 2 )   344 - 356   2014.1

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    Language：English   Publishing type：Research paper (scientific journal)  

  • Refined gauge group decompositions Reviewed International journal

    D. Kishimoto, A. Kono, and S. Theriault

    Kyoto J. Math.   54 ( no. 3 )   679 - 691   2014.1

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  • KO-theory of exceptional flag manifolds Reviewed International journal

    D. Kishimoto and A. Ohsita

    Kyoto J. Math.   53 ( no. 3 )   673 - 692   2013.1

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    Language：English   Publishing type：Research paper (scientific journal)  

  • Note on the cohomology of finite cyclic coverings Reviewed International journal

    Y. Hara and D. Kishimoto

    Topology Appl.   160 ( no. 9 )   1061 - 1065   2013.1

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    Language：English   Publishing type：Research paper (scientific journal)  

  • Mod p decompositions of gauge groups Reviewed International journal

    D. Kishimoto, A. Kono, and M. Tsutaya

    Algebr. Geom. Topol.   13 ( no. 3 )   1757 - 1778   2013.1

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    Language：English   Publishing type：Research paper (scientific journal)  

  • Hom complexes and hypergraph colorings Reviewed International journal

    K. Iriye and D. Kishimoto

    Topology Appl.   160 ( no. 12 )   1333 - 1344   2013.1

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    Language：English   Publishing type：Research paper (scientific journal)  

  • Homotopy commutativity in p-localized gauge groups Reviewed International journal

    D. Kishimoto, A. Kono, and S. Theriault

    Proc. Roy. Soc. Edinburgh Sect. A   143 ( no. 4 )   851 - 870   2013.1

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    Language：English   Publishing type：Research paper (scientific journal)  

  • Commutativity of localized self-homotopy groups of symplectic groups Reviewed International journal

    D. Kishimoto, A. Kono, and T. Nagao

    Topology Appl.   158 ( no. 8 )   1025 - 1032   2011.1

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    Language：English   Publishing type：Research paper (scientific journal)  

  • Commutativity in special unitary groups at odd primes Reviewed International journal

    D. Kishimoto and T. Nagao

    Topology Appl.   157 ( no. 12 )   1949 - 1954   2010.1

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    Language：English   Publishing type：Research paper (scientific journal)  

  • Spin structures on instanton moduli spaces Reviewed International journal

    Y. Kamiyama and D. Kishimoto

    Topology Appl.   157 ( no. 1 )   35 - 43   2010.1

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    Language：English   Publishing type：Research paper (scientific journal)  

  • Generating varieties, Bott periodicity and instantons Reviewed International journal

    D. Kishimoto

    Topology Appl.   157 ( no. 3 )   657 - 668   2010.1

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    Language：English   Publishing type：Research paper (scientific journal)  

  • Note on mod p decompositions of gauge groups Reviewed International journal

    D. Kishimoto and A. Kono

    Proc. Japan Acad. Ser. A Math. Sci.   86 ( no. 1 )   15 - 17   2010.1

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    Language：English   Publishing type：Research paper (scientific journal)  

  • On a conjecture of Ōshima Reviewed International journal

    156 ( no. 13 )   2189 - 2192   2009.1

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    Language：English   Publishing type：Research paper (scientific journal)  

  • Homotopy nilpotency in localized SU(n) Reviewed International journal

    D. Kishimoto

    Homology Homotopy Appl.   11 ( no. 1 )   61 - 79   2009.1

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    Language：English   Publishing type：Research paper (scientific journal)  

  • Mod p decompositions of non-simply connected Lie groups Reviewed International journal

    D. Kishimoto and A. Kono

    J. Math. Kyoto Univ.   48 ( no. 1 )   1 - 5   2008.1

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    Language：English   Publishing type：Research paper (scientific journal)  

  • Samelson products of SO(3) and applications Reviewed International journal

    Y. Kamiyama, D. Kishimoto, A. Kono, and S. Tsukuda

    Glasg. Math. J.   49 ( no. 2 )   405 - 409   2007.1

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  • L-S category of quaternionic Stiefel manifolds Reviewed International journal

    D. Kishimoto

    Topology Appl.   154 ( no. 7 )   1465 - 1469   2007.1

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  • Self homotopy groups with large nilpotency classes Reviewed International journal

    H. Hamanaka, D. Kishimoto, and A. Kono

    Topology Appl.   153 ( no. 14 )   2425 - 2429   2006.1

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    Language：English   Publishing type：Research paper (scientific journal)  

  • Topological proof of Bott periodicity and characterization of BR Reviewed International journal

    D. Kishimoto

    J. Math. Soc. Japan   58 ( no. 2 )   299 - 309   2006.1

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    Language：English   Publishing type：Research paper (scientific journal)  

  • Note on the Atiyah-Hirzebruch spectral sequence on KO-theory Reviewed International journal

    D. Kishimoto

    Proc. Japan Acad. Ser. A Math. Sci.   81 ( no. 7 )   129 - 130   2005.1

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    Language：English   Publishing type：Research paper (scientific journal)  

  • Homotopy genus of BU and the Bott map Reviewed International journal

    D. Kishimoto

    J. Math. Kyoto Univ.   44 ( no. 3 )   675 - 678   2004.1

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  • KO-theory of flag manifolds Reviewed International journal

    D. Kishimoto, A. Kono, and A. Ohsita

    J. Math. Kyoto Univ.   44 ( no. 1 )   217 - 227   2004.1

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  • KO-theory of complex Stiefel manifolds Reviewed International journal

    D. Kishimoto

    J. Math. Kyoto Univ.   44 ( no. 3 )   669 - 674   2004.1

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  • Topological characterization of extensor product on BSO Reviewed International journal

    D. Kishimoto

    J. Math. Kyoto Univ.   42 ( no. 3 )   423 - 428   2002.1

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  • Topological characterization of extensor product on BU Reviewed International journal

    A. Kono and D. Kishimoto

    J. Math. Kyoto Univ.   42 ( no. 2 )   243 - 247   2002.1

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  • Topological characterization of Bott map on BU Reviewed International journal

    D. Kishimoto

    J. Math. Kyoto Univ.   42 ( no. 2 )   249 - 253   2002.1

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  • A topological proof of real and symplectic Bott periodicity theorem Invited Reviewed International journal

    D. Kishimoto

    J. Math. Kyoto Univ.   41 ( no. 1 )   33 - 41   2001.1

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Presentations

  • ホームページに全情報があります。

    岸本大祐

    2022.4 

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    Event date： 2022.4 - 2024.4

    Language：Japanese  

    Country：Japan  

Professional Memberships

  • The Mathematical Society of Japan

Academic Activities

  • 不明

    日本数学会九州支部評議員  2024.4 - 2025.4

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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：12

  • Kyushu Journal of Mathematics International contribution

    2022.10 - 2026.3

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    Type：Academic society, research group, etc. 

  • 不明

    トポロジー連絡会議  2022.4

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    Type：Competition, symposium, etc. 

  • 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：10

Research Projects

  • Study of the topology and the combinatorics of polyhedral products

    Grant number：22K03284  2022 - 2025

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

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    Authorship：Principal investigator  Grant type：Scientific research funding

    CiNii Research

  • Golod 性を中心としたトーリックホモトピーの展開

    Grant number：19K03473  2019.4 - 2024.3

    科学研究費助成事業  基盤研究(C)

    入江 幸右衛門, 岸本 大祐, 山口 睦

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    Grant type：Scientific research funding

    本研究は、数学のいろいろな分野（具体的には、代数幾何学、可換環論、トポロジー、組み合わせ論）に現われるモーメントアングル複体とその一般化に関する研究です。モーメントアングル複体は、単体複体とよばれる簡単な数学的対象で記述できます。その単体複体が Golod 性という特別な性質をもつとき、モーメントアングル複体が非常に簡単な構造を持つことが今までの研究で予想されています。本研究は、単体複体が Golod 性を持つ必要十分条件を、その組み合わせ構造を用いて記述することを目指しています。

    CiNii Research

  • Homotopy theory of coordinate subspace arrangements

    Grant number：17K05248  2017.4 - 2023.3

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

    Daisuke Kishimoto

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    Grant type：Scientific research funding

    An abstract simplicial complex is an abstraction of a geometric simplicial complex, and it captures the combinatorial structure of a geometric simplicial complex. A polyhedral product is a space constructed from a pair of spaces in accordance with the combinatorial structure of an abstract simplicial complex. Polyhedral products include moment-angle complex which is a central object in toric topology, and coordinate subspace arrngements and their complements. I elucidated relations between the topology of a polyhedral product and the combinatorial structure of the underlyig simplicial complex by developing the theory of the fat-wedge filtration.

    CiNii Research

Educational Activities

  • Mathematical education for graduate and undergraduate schools.

Class subject

  • 数学特論B5

    2024.12 - 2025.2   Winter quarter

  • 位相幾何学大意

    2024.10 - 2025.3   Second semester

  • 数学特論３

    2024.10 - 2025.3   Second semester

  • コアセミナーⅠ

    2024.4 - 2024.9   First semester

  • 数学特論B5

    2023.12 - 2024.2   Winter quarter

  • 位相幾何学大意

    2023.10 - 2024.3   Second semester

  • 数学特論３

    2023.10 - 2024.3   Second semester

  • コアセミナーⅠ

    2023.4 - 2023.9   First semester

  • 数理科学特論３

    2023.4 - 2023.9   First semester

  • 数理科学特別講義Ⅲ

    2023.4 - 2023.9   First semester

  • 微分積分学I

    2022.4 - 2022.9   First semester

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FD Participation

  • 2022.4   Role：Participation   Title：第１回全学ＦＤ（新任教員の研修）

    Organizer：University-wide

Participation in international educational events, etc.

  • 2022.9

    ICMS

    Conference "Classifying Spaces in Algebraic Topology"

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    Venue：英国・エディンバラ

Acceptance of Foreign Researchers, etc.

  • University of Regina

    Acceptance period： 2024.3   （Period）：Less than 2 weeks

    Nationality：Canada

    Business entity：Japan Society for the Promotion of Science

Travel Abroad

  • 2022.9

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

  • 2022.9

    Staying countory name 1：United Kingdom   Staying institution name 1：International Centre for Mathematical Sciences