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Mase, Takafumi
Graduate School of Informatics, Department of Informatics Associate Professor
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Last Updated :2026/08/20
Basic Information
Faculty
Email Address
Email Address
mase.takafumi.3n
kyoto-u.ac.jp
Professional Memberships
Academic Degree
Academic Resume (Undergraduate School/Majors)
Research History
- From Apr. 2026, To PresentKyoto University, Graduate School of Informatics, Associate Professor
- From Apr. 2020, To Mar. 2026The University of Tokyo, Graduate School of Mathematical Sciences, 助教
- From Oct. 2017, To Mar. 2020Tokyo University of Agriculture and Technology, Faculty of Agriculture, 非常勤講師
- From Apr. 2016, To Mar. 2020The University of Tokyo, Graduate School of Mathematical Sciences, 特任助教
- From Apr. 2013, To Mar. 2016Japan Society for the Promotion of Science, 特別研究員(DC1, 東京大学大学院数理科学研究科)
ID,URL
ORCID ID
J-Global ID
Researcher number
80780105
researchmap URL
list
Last Updated :2026/08/20
Research
Research Interests
Research Areas
Papers
- Exact calculation of degrees for lattice equations: a singularity approachTakafumi MaseNonlinearity, 22 Jan. 2026, Peer-reviewed
- Deautonomisation by Singularity Confinement and Degree GrowthAlexander Stokes; Takafumi Mase; Ralph Willox; Basile GrammaticosThe Journal of Geometric Analysis, 07 Jan. 2025, Peer-reviewed
- New cluster algebras from old: integrability beyond Zamolodchikov periodicityAndrew N W Hone; Wookyung Kim; Takafumi MaseJournal of Physics A: Mathematical and Theoretical, 24 Sep. 2024, Peer-reviewed
- A study on the domain independence of the Laurent property, the irreducibility and the coprimeness in lattice equationsTakafumi MaseOpen Communications in Nonlinear Mathematical Physics, 07 Aug. 2024, Peer-reviewed
- Singularities and growth of higher order discrete equationsRalph Willox; Takafumi Mase; Alfred Ramani; Basil GrammaticosOpen Communications in Nonlinear Mathematical Physics, 16 Apr. 2024, Peer-reviewed
- Coprimeness-preserving discrete KdV type equation on an arbitrary dimensional latticeR. Kamiya; M. Kanki; T. Mase; T. TokihiroJournal of Mathematical Physics, 01 Oct. 2021, Peer-reviewed
- Discrete Hamiltonians of discrete Painlevé equationsTakafumi Mase; Akane Nakamura; Hidetaka SakaiAnnales de la Faculté des sciences de Toulouse : Mathématiques, 12 Apr. 2021, Peer-reviewed
- Coordination sequences of crystals are of quasi-polynomial typeYusuke Nakamura; Ryotaro Sakamoto; Takafumi Mase; Junichi NakagawaActa Crystallographica Section A Foundations and Advances, 18 Feb. 2021, Peer-reviewed
- Algebraic entropy of a multi-term recurrence of the Hietarinta-Viallet type (Mathematical structures of integrable systems and their applications)Kamiya, Ryo; Kanki, Masataka; Mase, Takafumi; Tokihiro, TetsujiRIMS Kokyuroku Bessatsu, Apr. 2020, Peer-reviewed
- Algebraic entropy computations for lattice equations: why initial value problems do matterJ Hietarinta; T Mase; R WilloxJournal of Physics A: Mathematical and Theoretical, 13 Nov. 2019, Peer-reviewed
- Singularity confinement as an integrability criterionTakafumi Mase; Ralph Willox; Alfred Ramani; Basil GrammaticosJournal of Physics A: Mathematical and Theoretical, 15 Apr. 2019, Peer-reviewed
- A modified model on a traffic network and signal optimizationHuang, Xinchi; Takahashi, Kazune; Kishi, Yasuhisa; Kanai, Masahiko; Mase, Takafumi数理科学実践研究レター, 26 Mar. 2019, Peer-reviewed
- Toda type equations over multi-dimensional latticesRyo Kamiya; Masataka Kanki; Takafumi Mase; Naoto Okubo; Tetsuji TokihiroJournal of Physics A: Mathematical and Theoretical, 02 Aug. 2018, Peer-reviewed
- Nonlinear forms of coprimeness preserving extensions to the Somos-4 recurrence and the two-dimensional Toda lattice equation—investigation into their extended Laurent propertiesRyo Kamiya; Masataka Kanki; Takafumi Mase; Tetsuji TokihiroJournal of Physics A: Mathematical and Theoretical, 24 Jul. 2018, Peer-reviewed
- On the Coprimeness Property of Discrete Systems without the Irreducibility ConditionMasataka Kanki; Takafumi Mase; Tetsuji TokihiroSymmetry, Integrability and Geometry: Methods and Applications, 27 Jun. 2018, Peer-reviewed
- Integrable mappings and the notion of anticonfinementT Mase; R Willox; A Ramani; B GrammaticosJournal of Physics A: Mathematical and Theoretical, 01 Jun. 2018, Peer-reviewed
- Singularity patterns and dynamical degreesTakafumi Mase; Ralph Willox; Alfred Ramani; Basil Grammaticos26 May 2018, Peer-reviewed
- A two-dimensional lattice equation as an extension of the Heideman–Hogan recurrenceRyo Kamiya; Masataka Kanki; Takafumi Mase; Tetsuji TokihiroJournal of Physics A: Mathematical and Theoretical, 23 Feb. 2018, Peer-reviewed
- Calculating the algebraic entropy of mappings with unconfined singularitiesA Ramani; B Grammaticos; R Willox; T Mase; J SatsumaJournal of Integrable Systems, 01 Jan. 2018, Peer-reviewed
- Studies on spaces of initial conditions for non-autonomous mappings of the planeTakafumi MaseJournal of Integrable Systems, 01 Jan. 2018, Peer-reviewed
- Calculating algebraic entropies: an express methodA Ramani; B Grammaticos; R Willox; T MaseJournal of Physics A: Mathematical and Theoretical, 05 May 2017, Peer-reviewed
- Coprimeness-preserving non-integrable extension to the two-dimensional discrete Toda lattice equationRyo Kamiya; Masataka Kanki; Takafumi Mase; Tetsuji TokihiroJournal of Mathematical Physics, Jan. 2017, Peer-reviewed
- Full-deautonomisation of a lattice equationR Willox; T Mase; A Ramani; B GrammaticosJournal of Physics A: Mathematical and Theoretical, 15 Jul. 2016, Peer-reviewed
- Singularity confinement and chaos in two-dimensional discrete systemsMasataka Kanki; Takafumi Mase; Tetsuji TokihiroJournal of Physics A: Mathematical and Theoretical, 03 May 2016, Peer-reviewed
- Investigation into the role of the Laurent property in integrabilityTakafumi MaseJournal of Mathematical Physics, Feb. 2016, Peer-reviewed
- Singularity confinement and full-deautonomisation: A discrete integrability criterionB. Grammaticos; A. Ramani; R. Willox; T. Mase; J. SatsumaPhysica D: Nonlinear Phenomena, Dec. 2015, Peer-reviewed
- Deautonomization by singularity confinement: an algebro-geometric justificationT. Mase; R. Willox; B. Grammaticos; A. RamaniProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Nov. 2015, Peer-reviewed
- Algebraic entropy of an extended Hietarinta–Viallet equationMasataka Kanki; Takafumi Mase; Tetsuji TokihiroJournal of Physics A: Mathematical and Theoretical, 11 Aug. 2015, Peer-reviewed
- The redemption of singularity confinementA Ramani; B Grammaticos; R Willox; T Mase; M KankiJournal of Physics A: Mathematical and Theoretical, 20 Mar. 2015, Peer-reviewed
- Irreducibility and co-primeness as an integrability criterion for discrete equationsMasataka Kanki; Jun Mada; Takafumi Mase; Tetsuji TokihiroJournal of Physics A: Mathematical and Theoretical, 04 Nov. 2014, Peer-reviewed
- The Laurent Phenomenon and Discrete Integrable Systems (The breadth and depth of nonlinear discrete integrable systems)MASE, TakafumiRIMS Kokyuroku Bessatsu, Aug. 2013, Peer-reviewed
Presentations
- 線形代数の教育的な問題生成アルゴリズム～ジョルダン標準形の場合～妹尾 駿; 脇 広大; 間瀬 崇史; 林 達也非線形波動から可積分系へ2025 (ポスター), 31 Oct. 2025
- Degree growth calculations for lattice equations: why initial value problems do matter間瀬 崇史非線形波動から可積分系へ2025, 30 Oct. 2025
- Exact calculation of degrees for lattice equations間瀬崇史日本数学会2025年度秋季総合分科会 (特別講演), 16 Sep. 2025, Invited
- Exact calculation of degrees for lattice equations: a singularity approachT. MaseInternational Conference on Symmetry and Integrability in Difference Equations, 20 Jun. 2025
- 差分方程式の次数増大間瀬崇史富山数理ワークショップ2025, 15 Mar. 2025, Invited
- Exact calculation of degrees for lattice equations: a singularity approach間瀬崇史非線形波動から可積分系へ2024, 09 Nov. 2024
- Exact calculation of degrees for lattice equations: a singularity approachT. MaseDiscrete integrable systems: difference equations, cluster algebras and probabilistic models, 29 Oct. 2024, Invited
- 不連続関数に対する二分法の安定性・誤差評価間瀬崇史; 許本源; 布川賢一; 尾崎隆浩; 平松遼太ダイキン東大ラボ 第2回研究成果発表会, 27 Sep. 2023
- Degree growth calculations for lattice equationsT. MaseInternational Conference on Symmetry and Integrability in Difference Equations, 22 Jun. 2023
- Integrability tests for lattice equations - or why initial value problems do matterT. MaseIntegrable Systems 2019, 28 Nov. 2019
- Dynamical degrees and singularity patterns (2)T. Mase; R. Willox; A. Ramani; B. GrammaticosInternational Conference on Symmetry and Integrability in Difference Equations, 15 Nov. 2018
- Dynamical degrees and singularity patternsT. Mase; R. Willox; A. Ramani; B. GrammaticosInternational Conference on Symmetry and Integrability in Difference Equations, 13 Nov. 2018
- 特異点閉じ込めと代数的エントロピー I間瀬崇史; R. Willox; A. Ramani; B. Grammaticos非線形波動研究の新潮流 -理論とその応用-, 09 Nov. 2017
- Spaces of initial conditions for nonautonomous mappings of the planeT. MaseThe Tenth IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory, 29 Mar. 2017
- 非自励2階差分方程式の初期値空間間瀬崇史アクセサリー・パラメーター研究会2017, 17 Mar. 2017, Invited
- Spaces of initial conditions for nonautonomous mappings of the planeT. MaseWorkshop on Discrete Painlevé equations, 17 Dec. 2016, Invited
- 多次元格子上の擬似可積分系間瀬崇史可積分系数理の現状と展望, 05 Sep. 2016, Invited
- The Laurent Property and Discrete Integrable SystemsT. MaseInternational Conference on Symmetry and Integrability in Difference Equations, 16 Jun. 2014
- ローラン現象と離散可積分系間瀬崇史非線形離散可積分系の拡がり, 20 Aug. 2012, Invited
Books and Other Publications
- Nonlinear systems and their remarkable mathematical structuresB. Grammaticos; A. Ramani; R. Willox; T. Mase, Contributor, Chapter A.3 Detecting discrete integrability: the singularity approachCRC Press, 03 Dec. 2018, Not refereed
External funds: Kakenhi
- Algebraic entropy calculation of lattice equations via Laurentification: a cluster algebraic approachGrant-in-Aid for JSPS FellowsBasic Section 12020:Mathematical analysis-relatedThe University of Tokyo間瀬 崇史From 15 Nov. 2024, To 31 Mar. 2027, Granted可積分系;離散可積分系;代数的エントロピー;クラスター代数;Laurentification
- 特異点の手法による差分方程式の可積分性判定Grant-in-Aid for Early-Career ScientistsBasic Section 12020:Mathematical analysis-relatedThe University of Tokyo間瀬 崇史From 01 Apr. 2023, To 31 Mar. 2028, Granted可積分系;離散可積分系;代数的エントロピー;可積分性判定;次数増大;特異点閉じ込め;格子方程式
- Algebraic methods for determining integrability of discrete equationsGrant-in-Aid for Early-Career ScientistsBasic Section 12020:Mathematical analysis-relatedThe University of TokyoTakafumi MASEFrom 01 Apr. 2018, To 31 Mar. 2023, Project Closed可積分系;離散可積分系;代数的エントロピー;Laurent現象;可積分性判定
- Detecting integrability of discrete equations on multi-dimensional latticesGrant-in-Aid for Research Activity Start-upThe University of TokyoTakafumi MaseFrom 26 Aug. 2016, To 31 Mar. 2018, Project Closed可積分系;離散可積分系;代数的エントロピー;応用数学;特異点閉じ込め;可積分性判定
