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Arakawa, Kensuke

Research Institute for Mathematical Sciences (RIMS) Assistant Professor

Arakawa, Kensuke
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    Last Updated :2026/09/10

    Basic Information

    Academic Degree

    • 23 Mar. 2024
      M.Sc (Kyoto Univeristy)
    • 23 Mar. 2026
      D.Sc (Kyoto University)

    Academic Resume (Undergraduate School/Majors)

    • Kyoto University, Faculty of Science, B.Sc

    Research History

    • From May 2026, To Present
      Kyoto University, Research Institute for Mathematical Sciences, Assistant Professor
    • From Apr. 2026, To Apr. 2026
      Japan Society for the Promotion of Science, Postdoctoral Fellow (PD)
    • From Apr. 2024, To Mar. 2026
      Japan Society for the Promotion of Science, Doctoral course fellow (DC1)

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    researchmap URL

    list
      Last Updated :2026/09/10

      Research

      Research Areas

      • Natural sciences, Algebra, category theory
      • Natural sciences, Geometry, homotopy theory

      Papers

      • Cubical models of ∞-presheaves and the Bousfield–Kan formula
        Kensuke Arakawa; Daniel Carranza; Krzysztof Kapulkin
        Advances in Mathematics, Oct. 2026, Peer-reviewed
      • Homotopy limits and homotopy colimits of chain complexes
        Kensuke Arakawa
        Journal of Pure and Applied Algebra, Apr. 2026, Peer-reviewed
      • A context for manifold calculus
        Kensuke Arakawa
        Journal of Homotopy and Related Structures, 20 Mar. 2026, Peer-reviewed
      • A short proof of the universality of the relative Rezk nerve
        Kensuke Arakawa; Bastiaan Cnossen
        Proceedings of the American Mathematical Society, 11 Mar. 2026, Peer-reviewed
      • Monoidal relative categories model monoidal ∞-categories
        Kensuke Arakawa
        Journal of Pure and Applied Algebra, Feb. 2026, Peer-reviewed
      • Monoidal Envelopes of Families of $$\infty $$-Operads and $$\infty $$-Operadic Kan Extensions
        Kensuke Arakawa
        Applied Categorical Structures, 18 Jul. 2025, Peer-reviewed
      • Universal Properties of Variations of the Little Cubes Operads
        Kensuke Arakawa
        Münster Journal of Mathematics, 2025, Peer-reviewed
      • Classification diagrams of simplicial categories
        Kensuke Arakawa
        Cahiers de Topologie et Géométrie Différentielle Catégoriques, 2025, Peer-reviewed
      • Classifying space via homotopy coherent nerve
        Kensuke Arakawa
        Homology, Homotopy and Applications, 2023, Peer-reviewed

      Misc.

      • Hammock localization via Segal animae
        20 Aug. 2026
      • On the equivalence of two approaches to multiplicative homotopy theories
        Kensuke Arakawa
        24 Mar. 2026
      • On the equivalence of Brantner's and Chu--Haugseng's approaches to enriched $\infty$-operads
        Kensuke Arakawa
        24 Mar. 2026
      • Relative operads model $\infty$-operads
        Kensuke Arakawa; Victor Carmona; Francesca Pratali
        18 Dec. 2025
      • Derived mapping spaces of $\infty$-categories
        Kensuke Arakawa; Daniel Carranza; Chris Kapulkin
        12 Sep. 2025
      • The Grothendieck Construction for $\infty$-Categories Fibered over Categorical Patterns
        Kensuke Arakawa
        01 Apr. 2024
      • Classification Diagrams of Marked Simplicial Sets
        Kensuke Arakawa
        02 Nov. 2023

      Presentations

      • Truncated graphs
        Kensuke Arakawa
        The Fifth Pan-Pacific International Conference on Topology and Applications, 08 Sep. 2026, Invited
      • Towards the discrete homotopy hypothesis
        Kensuke Arakawa
        Geometry and Topology Seminar (University of Western Ontario), 15 Jun. 2026, Invited
      • On the equivalence of two approaches to multiplicative homotopy theories
        Kensuke Arakawa
        Texas Tech Topology and Geometry Seminar, Apr. 2026, Invited
      • An operadic version of Mazel-Gee’s localization theorem
        Kensuke Arakawa
        FGC Higher Structure Seminar, Mar. 2026, Invited
      • How to compare models of enriched ∞-operads
        Kensuke Arakawa
        Two lectures on ∞-operads (Utrecht University), Feb. 2026, Invited
      • Manifold calculus beyond space-valued functors
        Kensuke Arakawa
        Seminar talk (EPFL), Feb. 2026, Invited
      • Manifold calculus beyond space-valued functors
        Kensuke Arakawa
        Mathematical Structures in Physics Seminar (Max Planck Institute MiS Leipzig), Feb. 2026, Invited
      • Theory and metatheory of relative operads
        Kensuke Arakawa
        Mini workshop on algebraic and geometic topology, Jan. 2026, Invited
      • On Pavlov and Hovey’s conjectures on combinatorial monoidal model categories
        Kensuke Arakawa
        Homotopy Theory Symposium, Oct. 2025, Invited
      • On Pavlov and Hovey’s conjectures on combinatorial monoidal model categories
        Kensuke Arakawa
        Geometry and topology seminar (University of Western Ontario), Aug. 2025, Invited
      • Monoidal relative categories model monoidal (∞,1)-categories
        Kensuke Arakawa
        Moscow–Beijing Topology Seminar, Jun. 2025, Invited
      • Monoidal relative categories model monoidal ∞-categories
        Kensuke Arakawa
        Homotopy Okinawa, Jun. 2025, Invited
      • Monoidal relative categories model monoidal (∞,1)-categories
        Kensuke Arakawa
        The 9th East Asian Conference on Algebraic Topology, May 2025, Invited
      • Axiomatic approach to symmetric sequences and infinity operads
        Kensuke Arakawa
        Fukuoka homotopy theory seminar, Jan. 2025
      • Axiomatic approach to symmetric sequences and infinity operads
        Kensuke Arakawa
        One Day Workshop with Rachael Boyd on Algebraic Topology, Jan. 2025, Invited
      • Mazel-Gee’s localization theorem via marked simplicial spaces
        Kensuke Arakawa
        Categorical Logic and Higher Categories, Dec. 2024, Invited
      • Gluing Little Cubes Operads
        Kensuke Arakawa
        Differential topology seminar, Oct. 2024, Invited
      • Fundamental theorems of manifold calculus via localization
        Kensuke Arakawa
        Algebraic and Geometric Models of Spaces and Related Topics, Aug. 2024, Invited
      • A context for manifold calculus
        Kensuke Arakawa
        Young Algebraic Topologists Meeting, Mar. 2024
      • Classification diagrams of marked simplicial sets
        Kensuke Arakawa
        Fukuoka homotopy theory seminar, Jan. 2024
      • Bundling up ∞-categories with structuers
        Kensuke Arakawa
        Homotopy Theory Symposium, Nov. 2023
      • Classifying space via homotopy coherent nerve
        Kensuke Arakawa
        Topology Friday Seminar (Kyushu University), Jun. 2023, Invited
      • Classifying space via homotopy coherent nerve
        Kensuke Arakawa
        Young Algebraic Topologists Meeting, Mar. 2023

      External funds: Kakenhi


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