{
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  "title": "Research records on Ryuya Hora's homepage",
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  "description": "Papers, preprints, and research talks listed on the official homepage of Ryuya Hora.",
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      "external_url": "https://progetto-itaca.github.io/fests/fest26.html",
      "title": "Title pending",
      "content_text": "2026-09-29 — ItaCa Fest 2026 — online",
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      "external_url": "https://aiformath.jp/meetings/2026-07-17-02/",
      "title": "AI for Mathについて数学者は(何を)考えるべきか",
      "content_text": "2026-07-17 — AI for Math勉強会 第2回 — Kabukiza Tower 12F, Tokyo",
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      "external_url": "https://sites.google.com/view/differential-kyoto-2026/home",
      "title": "A Rota-Baxter equation for winning games",
      "content_text": "2026-04-06 — Differentiation in category theory and program semantics — Room 420, RIMS, Kyoto University",
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      "id": "https://ryuyahora.jp/works/talks/#talk-cscat-2026-game-of-life",
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      "external_url": "https://www.kurims.kyoto-u.ac.jp/~tsanada/event/cscat2026.html",
      "title": "A space-time for Conway's game of life",
      "content_text": "2026-03-17 — CSCAT 2026 — AOSSA Room 601A, Fukui",
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      "external_url": "https://jssst-ppl.org/workshop/2026/accepted.html",
      "title": "Measure-theoretic closure operators on formal languages",
      "content_text": "2026-03-11 — PPL 2026 — Rexxam Hall, Takamatsu",
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        {
          "name": "Ryuya Hora",
          "url": "https://ryuyahora.jp/profile/"
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        {
          "name": "Ryoma Sin'ya"
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      "external_url": "https://doi.org/10.1016/j.aim.2025.110751",
      "title": "Solution to Lawvere's first problem: A Grothendieck topos that has proper class many quotient topoi",
      "content_text": "Published paper — Gives a solution to Lawvere's first open problem. — Advances in Mathematics 487, 110751",
      "summary": "Gives a solution to Lawvere's first open problem.",
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      "external_url": "http://www.alg.cei.uec.ac.jp/itohiro/Games/Game260222.html",
      "title": "Turning lights out with the Snake Lemma",
      "content_text": "2026-02-22 — 20th CGP project — The University of Electro-Communications, Chofu",
      "authors": [
        {
          "name": "Kyosuke Higashida"
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      "id": "https://ryuyahora.jp/works/talks/#talk-phd-thesis-presentation-2026-connectedness",
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      "external_url": "https://www.ms.u-tokyo.ac.jp/seminar/2026/sem26-042.html",
      "title": "Connectedness and full subcategories of topoi",
      "content_text": "2026-01-23 — Ph.D. thesis presentation — Room 126, Graduate School of Mathematical Sciences, The University of Tokyo",
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      "id": "https://ryuyahora.jp/works/talks/#talk-utokyo-logic-2025-12-05-axiom-choice",
      "url": "https://ryuyahora.jp/works/talks/#talk-utokyo-logic-2025-12-05-axiom-choice",
      "external_url": "https://www.ms.u-tokyo.ac.jp/seminar/logic/",
      "title": "The axiom of choice and local state classifier",
      "content_text": "2025-12-05 — UTokyo Logic seminar — Graduate School of Mathematical Sciences, The University of Tokyo",
      "authors": [
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          "name": "Ryuya Hora",
          "url": "https://ryuyahora.jp/profile/"
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      "url": "https://ryuyahora.jp/works/talks/#talk-utokyo-logic-2025-11-28-connectedness",
      "external_url": "https://www.ms.u-tokyo.ac.jp/seminar/logic_e/past_e.html",
      "title": "Connectedness and full subcategories of topoi",
      "content_text": "2025-11-28 — UTokyo Logic seminar — Graduate School of Mathematical Sciences, The University of Tokyo",
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          "name": "Ryuya Hora",
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    {
      "id": "https://ryuyahora.jp/works/papers/#paper-grothendieck-topoi-left-adjoint",
      "url": "https://ryuyahora.jp/works/papers/#paper-grothendieck-topoi-left-adjoint",
      "external_url": "https://doi.org/10.1090/proc/17479",
      "title": "Grothendieck topoi with a left adjoint to a left adjoint to a left adjoint to the global sections functor",
      "content_text": "Published paper — Studies completely connected topoi and gives a site characterization with examples. — Proceedings of the American Mathematical Society 154, 567-584",
      "summary": "Studies completely connected topoi and gives a site characterization with examples.",
      "date_published": "2025-11-25T00:00:00Z",
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      "id": "https://ryuyahora.jp/works/papers/#paper-normalization-subgroup-word-congruence",
      "url": "https://ryuyahora.jp/works/papers/#paper-normalization-subgroup-word-congruence",
      "external_url": "https://arxiv.org/abs/2511.05012",
      "title": "Normalization of a subgroup, in a topos, and of a word-congruence",
      "content_text": "Preprint — Defines a generalized normalization operator motivated by topos theory and algebraic language theory. — arXiv:2511.05012",
      "summary": "Defines a generalized normalization operator motivated by topos theory and algebraic language theory.",
      "date_published": "2025-11-07T00:00:00Z",
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      "url": "https://ryuyahora.jp/works/talks/#talk-slacs-2025-topoi-of-automata",
      "external_url": "https://sites.google.com/view/slacs2025akita/home",
      "title": "Topoi of automata",
      "content_text": "2025-10-31 — SLACS 2025 — Shared Room 321, Akita University",
      "authors": [
        {
          "name": "Ryuya Hora",
          "url": "https://ryuyahora.jp/profile/"
        }
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    {
      "id": "https://ryuyahora.jp/works/papers/#paper-games-recursive-coalgebras",
      "url": "https://ryuyahora.jp/works/papers/#paper-games-recursive-coalgebras",
      "external_url": "https://arxiv.org/abs/2510.22886",
      "title": "Games as recursive coalgebras: A categorical view on the Nim-sum",
      "content_text": "Preprint — Reinterprets impartial combinatorial games and the Nim-sum using recursive coalgebras. — arXiv:2510.22886",
      "summary": "Reinterprets impartial combinatorial games and the Nim-sum using recursive coalgebras.",
      "date_published": "2025-10-27T00:00:00Z",
      "authors": [
        {
          "name": "Ryuya Hora",
          "url": "https://ryuyahora.jp/profile/"
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        "games",
        "coalgebras",
        "category",
        "algebra"
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    {
      "id": "https://ryuyahora.jp/works/talks/#talk-ct-2025-topoi-of-automata",
      "url": "https://ryuyahora.jp/works/talks/#talk-ct-2025-topoi-of-automata",
      "external_url": "https://archive.math.muni.cz/conference/ct2025/index.php%3Fid%3Dprogramme-and-venue.html",
      "title": "Topoi of automata",
      "content_text": "2025-07-17 — CT 2025 — Building B2, Faculty of Arts, Masaryk University, Brno",
      "authors": [
        {
          "name": "Ryuya Hora",
          "url": "https://ryuyahora.jp/profile/"
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      ],
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    {
      "id": "https://ryuyahora.jp/works/talks/#talk-tcs-2025-regular-language-topos",
      "url": "https://ryuyahora.jp/works/talks/#talk-tcs-2025-regular-language-topos",
      "external_url": "https://www.lix.polytechnique.fr/proofs-algorithms/tcs/",
      "title": "A topos for regular language theory",
      "content_text": "2025-06-11 — Theoretical Cosynus Seminar — LIX, Ecole polytechnique, Palaiseau",
      "authors": [
        {
          "name": "Ryuya Hora",
          "url": "https://ryuyahora.jp/profile/"
        }
      ],
      "tags": [
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    {
      "id": "https://ryuyahora.jp/works/talks/#talk-lipn-2025-local-state-classifier",
      "url": "https://ryuyahora.jp/works/talks/#talk-lipn-2025-local-state-classifier",
      "external_url": "https://lipn.univ-paris13.fr/applications/seminaires/index.php?lang=en",
      "title": "Local state classifier for automata theory",
      "content_text": "2025-06-05 — Séminaires du LIPN — LIPN, Villetaneuse",
      "authors": [
        {
          "name": "Ryuya Hora",
          "url": "https://ryuyahora.jp/profile/"
        }
      ],
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    },
    {
      "id": "https://ryuyahora.jp/works/talks/#talk-irif-2025-local-state-classifier",
      "url": "https://ryuyahora.jp/works/talks/#talk-irif-2025-local-state-classifier",
      "external_url": "https://www.irif.fr/en/seminaires/semantique/index",
      "title": "Local state classifier for automata theory",
      "content_text": "2025-05-27 — IRIF Sémantique seminar — Semantique seminar, Salle 3071, IRIF, Paris",
      "authors": [
        {
          "name": "Ryuya Hora",
          "url": "https://ryuyahora.jp/profile/"
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      ],
      "tags": [
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      ]
    },
    {
      "id": "https://ryuyahora.jp/works/talks/#talk-ctta-2025-05-16-local-state-classifier",
      "url": "https://ryuyahora.jp/works/talks/#talk-ctta-2025-05-16-local-state-classifier",
      "external_url": "https://igrothendieck.org/en/centre-for-topos-theory-and-its-applications/",
      "title": "Local state classifier for algebraic language theory",
      "content_text": "2025-05-16 — Groupe de travail topossique — Centre Lagrange, Paris",
      "authors": [
        {
          "name": "Ryuya Hora",
          "url": "https://ryuyahora.jp/profile/"
        }
      ],
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      ]
    },
    {
      "id": "https://ryuyahora.jp/works/talks/#talk-autcat-2025-topoi-of-automata",
      "url": "https://ryuyahora.jp/works/talks/#talk-autcat-2025-topoi-of-automata",
      "external_url": "https://autcat.github.io/",
      "title": "Topoi of automata",
      "content_text": "2025-05-06 — Categories for Automata and Language Theory — IRIF, Paris",
      "authors": [
        {
          "name": "Ryuya Hora",
          "url": "https://ryuyahora.jp/profile/"
        }
      ],
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    {
      "id": "https://ryuyahora.jp/works/talks/#talk-ctta-2025-04-30-topoi-of-automata",
      "url": "https://ryuyahora.jp/works/talks/#talk-ctta-2025-04-30-topoi-of-automata",
      "external_url": "https://igrothendieck.org/en/centre-for-topos-theory-and-its-applications/",
      "title": "Topoi of automata",
      "content_text": "2025-04-30 — Groupe de travail topossique — Centre Lagrange, Paris",
      "authors": [
        {
          "name": "Ryuya Hora",
          "url": "https://ryuyahora.jp/profile/"
        }
      ],
      "tags": [
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      ]
    },
    {
      "id": "https://ryuyahora.jp/works/talks/#talk-cscat-2025-topoi-of-automata",
      "url": "https://ryuyahora.jp/works/talks/#talk-cscat-2025-topoi-of-automata",
      "external_url": "https://hisashi-aratake.gitlab.io/event/cscat2025.html",
      "title": "Topoi of automata",
      "content_text": "2025-03-12 — CSCAT 2025 — Room F203, Sojo University, Kumamoto",
      "authors": [
        {
          "name": "Ryuya Hora",
          "url": "https://ryuyahora.jp/profile/"
        }
      ],
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    {
      "id": "https://ryuyahora.jp/works/papers/#paper-lawvere-fourth-open-problem",
      "url": "https://ryuyahora.jp/works/papers/#paper-lawvere-fourth-open-problem",
      "external_url": "https://arxiv.org/abs/2503.03439",
      "title": "Lawvere's fourth open problem: Levels in the topos of symmetric simplicial sets",
      "content_text": "Preprint — Gives a preprint solution to one of Lawvere's seven open problems through levels in the topos of symmetric simplicial sets. — arXiv:2503.03439",
      "summary": "Gives a preprint solution to one of Lawvere's seven open problems through levels in the topos of symmetric simplicial sets.",
      "date_published": "2025-03-05T00:00:00Z",
      "authors": [
        {
          "name": "Ryuya Hora",
          "url": "https://ryuyahora.jp/profile/"
        },
        {
          "name": "Yuhi Kamio"
        },
        {
          "name": "Yuki Maehara"
        }
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        "combinatorics"
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    {
      "id": "https://ryuyahora.jp/works/talks/#talk-cmup-sal-2025-topoi-of-automata",
      "url": "https://ryuyahora.jp/works/talks/#talk-cmup-sal-2025-topoi-of-automata",
      "external_url": "https://www.cmup.pt/events/topoi-automata",
      "title": "Topoi of automata",
      "content_text": "2025-02-28 — CMUP SAL seminar — Zoom",
      "authors": [
        {
          "name": "Ryuya Hora",
          "url": "https://ryuyahora.jp/profile/"
        }
      ],
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    {
      "id": "https://ryuyahora.jp/works/talks/#talk-afsa-area-meeting-2024-quotient-topoi",
      "url": "https://ryuyahora.jp/works/talks/#talk-afsa-area-meeting-2024-quotient-topoi",
      "external_url": "https://afsa.jp/afsa-2024_generalmeetingautumn/",
      "title": "Quotient topoi and geometry of computation",
      "content_text": "2024-11-30 — AFSA area meeting — TKP Kanda Business Center, Tokyo",
      "authors": [
        {
          "name": "Ryuya Hora",
          "url": "https://ryuyahora.jp/profile/"
        }
      ],
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    {
      "id": "https://ryuyahora.jp/works/papers/#paper-topoi-of-automata-i",
      "url": "https://ryuyahora.jp/works/papers/#paper-topoi-of-automata-i",
      "external_url": "https://arxiv.org/abs/2411.06358",
      "title": "Topoi of automata I: Four topoi of automata and regular languages",
      "content_text": "Preprint — Introduces a topos-theoretic point of view on formal language theory. — arXiv:2411.06358",
      "summary": "Introduces a topos-theoretic point of view on formal language theory.",
      "date_published": "2024-11-10T00:00:00Z",
      "authors": [
        {
          "name": "Ryuya Hora",
          "url": "https://ryuyahora.jp/profile/"
        }
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        "automata",
        "topos",
        "geometry"
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    {
      "id": "https://ryuyahora.jp/works/talks/#talk-toposes-mondovi-2024-colimit-monomorphisms",
      "url": "https://ryuyahora.jp/works/talks/#talk-toposes-mondovi-2024-colimit-monomorphisms",
      "external_url": "https://ctta.igrothendieck.org/",
      "title": "The colimit of all monomorphisms classifies hyperconnected geometric morphisms",
      "content_text": "2024-09-10 — Toposes in Mondovì — Circolo di Lettura, Palazzo del Governatore",
      "authors": [
        {
          "name": "Ryuya Hora",
          "url": "https://ryuyahora.jp/profile/"
        }
      ],
      "tags": [
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      ]
    },
    {
      "id": "https://ryuyahora.jp/works/talks/#talk-young-automata-2024-topos-tool",
      "url": "https://ryuyahora.jp/works/talks/#talk-young-automata-2024-topos-tool",
      "external_url": "https://sites.google.com/view/ciaa-preworkshop/home",
      "title": "Topos theory as a tool of automata theory",
      "content_text": "2024-08-29 — Young Automata Theorists Gathering in Japan — Room 305, Akita University",
      "authors": [
        {
          "name": "Ryuya Hora",
          "url": "https://ryuyahora.jp/profile/"
        }
      ],
      "tags": [
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      ]
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    {
      "id": "https://ryuyahora.jp/works/papers/#paper-internal-parameterizations",
      "url": "https://ryuyahora.jp/works/papers/#paper-internal-parameterizations",
      "external_url": "http://www.tac.mta.ca/tac/volumes/42/11/42-11abs.html",
      "title": "Internal parameterization of hyperconnected quotients",
      "content_text": "Published paper — Introduces local state classifiers and uses them to establish an internal parameterization of hyperconnected quotients. — Theory and Applications of Categories 42(11), 263-313",
      "summary": "Introduces local state classifiers and uses them to establish an internal parameterization of hyperconnected quotients.",
      "date_published": "2024-08-23T00:00:00Z",
      "authors": [
        {
          "name": "Ryuya Hora",
          "url": "https://ryuyahora.jp/profile/"
        }
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        "published",
        "topos",
        "category"
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      "id": "https://ryuyahora.jp/works/papers/#paper-quotient-toposes-discrete-dynamical-systems",
      "url": "https://ryuyahora.jp/works/papers/#paper-quotient-toposes-discrete-dynamical-systems",
      "external_url": "https://doi.org/10.1016/j.jpaa.2024.107657",
      "title": "Quotient toposes of discrete dynamical systems",
      "content_text": "Published paper — Classifies classes of discrete dynamical systems closed under finite limits and small colimits. — Journal of Pure and Applied Algebra 228(8), 107657",
      "summary": "Classifies classes of discrete dynamical systems closed under finite limits and small colimits.",
      "authors": [
        {
          "name": "Ryuya Hora",
          "url": "https://ryuyahora.jp/profile/"
        },
        {
          "name": "Yuhi Kamio"
        }
      ],
      "tags": [
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        "published",
        "topos",
        "dynamical",
        "algebra",
        "combinatorics"
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    {
      "id": "https://ryuyahora.jp/works/talks/#talk-ct-2024-quotient-toposes",
      "url": "https://ryuyahora.jp/works/talks/#talk-ct-2024-quotient-toposes",
      "external_url": "https://www.usc.gal/regaca/ct2024/programme.html",
      "title": "Quotient toposes of discrete dynamical systems",
      "content_text": "2024-06-28 — CT 2024 — Facultade de Matemáticas, Universidade de Santiago de Compostela",
      "authors": [
        {
          "name": "Ryuya Hora",
          "url": "https://ryuyahora.jp/profile/"
        }
      ],
      "tags": [
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      ]
    },
    {
      "id": "https://ryuyahora.jp/works/talks/#talk-afsa-colloquium-2024-category-theory",
      "url": "https://ryuyahora.jp/works/talks/#talk-afsa-colloquium-2024-category-theory",
      "external_url": "https://afsa.jp/meeting/",
      "title": "圏論の利用と濫用",
      "content_text": "2024-04-24 — 18th AFSA Colloquium — NII Kanda Lab, Tokyo",
      "authors": [
        {
          "name": "Ryuya Hora",
          "url": "https://ryuyahora.jp/profile/"
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