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KUBOTA Ayako
Mathematics, Electronics and Informatics DivisionAssistant Professor
Mathematics

Researcher information

■ Career
  • Aug. 2024 - Present, Saitama University
  • Apr. 2023 - Jul. 2024, Waseda University
  • Apr. 2022 - Mar. 2023, Josai University
  • Apr. 2020 - Mar. 2023, Waseda University

Performance information

■ Paper
  • Stratified Mukai flop of type A and the associated invariant Hilbert scheme               
    Ayako Kubota; Yasunari Nagai
    Journal of Pure and Applied Algebra, Volume:229, Number:9, Sep. 2025, [Reviewed]
    Elsevier BV, Scientific journal
    DOI:https://doi.org/10.1016/j.jpaa.2025.108031
    DOI ID:10.1016/j.jpaa.2025.108031, ISSN:0022-4049
  • Invariant Hilbert scheme of the Cox realization of the nilpotent cone in $\mathfrak{sl}(n)$               
    Ayako Kubota
    McKay Correspondence, Mutation and Related Topics, Jan. 2023, [Reviewed]
    SPIE, In book
    DOI:https://doi.org/10.2969/aspm/08810517
    DOI ID:10.2969/aspm/08810517
  • INVARIANT HILBERT SCHEME RESOLUTION OF POPOV’S SL(2)-VARIETIES
    AYAKO KUBOTA
    Transformation Groups, Jul. 2020, [Reviewed]
    Springer Science and Business Media LLC, Scientific journal
    DOI:https://doi.org/10.1007/s00031-020-09592-2
    DOI ID:10.1007/s00031-020-09592-2, ISSN:1083-4362, eISSN:1531-586X
  • On minimality of the invariant Hilbert scheme associated to Popov’s $\mathit{SL}(2)$-variety               
    Ayako Kubota
    Proceedings of the Japan Academy, Series A, Mathematical Sciences, Volume:96, Number:7, First page:51, Last page:56, Jul. 2020, [Reviewed]
    Project Euclid, Scientific journal
    DOI:https://doi.org/10.3792/pjaa.96.010
    DOI ID:10.3792/pjaa.96.010, ISSN:0386-2194
■ Lectures, oral presentations, etc.
  • The invariant Hilbert scheme and the Cox realization of nilpotent orbit closures in sl(n)               
    Jul. 2025
  • Cox ring of type A nilpotent orbit with partition [a^k] and the associated invariant Hilbert scheme               
    May 2025
  • Cox実現の不変Hilbertスキームについて               
    May 2025
  • Some examples of the invariant Hilbert scheme of the nilpotent orbit closures of type A               
    Mar. 2025
  • Invariant Hilbert scheme and resolution of singularities of quotient varieties               
    Nov. 2024
  • Invariant Hilbert scheme and resolution of singularities of quotient varieties               
    Nov. 2024
  • Examples of the invariant Hilbert scheme of the Cox realization               
    Sep. 2024
  • Examples of the invariant Hilbert scheme of the Cox realization               
    Sep. 2024
  • 不変ヒルベルトスキームによる商多様体の特異点解消ついて               
    Aug. 2024
  • Cox実現の不変ヒルベルトスキームについて               
    Jul. 2024
  • Invariant Hilbert scheme of the Cox realization               
    Jun. 2024
  • On some examples of the invariant Hilbert scheme of the Cox realization               
    Apr. 2024
  • The invariant Hilbert scheme of the Cox realization               
    Dec. 2023
  • Invariant Hilbert scheme of the Cox realization               
    Oct. 2023
  • 不変ヒルベルトスキームによる商特異点の特異点解消について               
    Jul. 2023
  • Invariant Hilbert scheme of the Cox realization of the nilpotent cone of type A               
    Mar. 2023
  • Stratified Mukai flop and the associated invariant Hilbert scheme               
    Feb. 2023
  • Invariant Hilbert scheme of the Cox realization of the nilpotent cone of type A               
    Dec. 2022
  • Invariant Hilbert schemes and resolutions of quotient singularities               
    Sep. 2022
  • On the U-invariants of the ring of matrices               
    Mar. 2022
  • On the G-Hilbert scheme of the closure of the regular nilpotent orbit of type A               
    Sep. 2020
  • On the G-Hilbert scheme of the closure of the regular nilpotent orbit of type A               
    Jul. 2020
  • A型の極大冪零軌道閉包のG-Hilbertスキームについて               
    Jun. 2020
  • Invariant Hilbert schemes and resolutions of singularities of quasihomogeneous SL(2)-varieties               
    Feb. 2020
  • 不変Hilbertスキームによる準等質SL(2)-多様体の特異点解消               
    Dec. 2019
  • On minimality of the invariant Hilbert scheme associated with Popov's SL(2)-variety               
    Sep. 2019
  • On minimality of the invariant Hilbert scheme associated with Popov's SL(2)-variety               
    Sep. 2019
  • PopovのSL(2)-多様体に付随する不変Hilbertスキームの極小性について               
    May 2019
  • Invariant Hilbert scheme resolution of Popov's SL(2)-varieties               
    Nov. 2018
  • Invariant Hilbert scheme resolution of Popov's SL(2)-varieties               
    Sep. 2018
  • 準等質SL(2)-多様体について               
    Aug. 2018
  • Invariant Hilbert scheme resolution of Popov's SL(2)-varieties               
    Aug. 2018
  • Invariant Hilbert scheme resolution of Popov's SL(2)-varieties               
    Jun. 2018
  • 不変Hilbertスキームによる3次元アファイン正規準等質SL(2)-多様体の特異点解消               
    Jun. 2018
  • Invariant Hilbert scheme resolution of Popov's toric SL(2)-varieties               
    Apr. 2018
  • Invariant Hilbert scheme resolution of Popov's SL(2)-varieties               
    Mar. 2018
  • Invariant Hilbert scheme resolution of Popov's SL(2)-varieties               
    Mar. 2018
  • Invariant Hilbert scheme resolution of Popov's SL(2)-varieties               
    Feb. 2018
  • 不変Hilbertスキームとアファイン準等質SL(2)-多様体               
    Feb. 2017
  • Minimal generating set of a ring of invariants for vectors, linear forms, and matrices               
    Mar. 2016
■ Research projects
  • 特異点のCox実現に付随する不変Hilbertスキームの研究               
    11 Sep. 2020 - 31 Mar. 2023
    Grant amount(Total):2600000, Direct funding:2000000, Indirect funding:600000
    Grant number:20K22313
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