Rchr
J-GLOBAL ID：201801020667420678   Update date: Jan. 30, 2024

SHIMOMOTO Kazuma

シモモト カズマ | SHIMOMOTO Kazuma
Research field  (1)： Algebra
Research keywords  (1)： Commutative algebra, Singularity theory, number theory
Research theme for competitive and other funds  (4)：
  • 2018 - 2023 A study on perfectoid spaces and applications to commutative ring theory
  • 2014 - 2020 Generalization of Iwasawa theory through Galois doformation and search for new phenomena
  • 2013 - 2016 Homological conjectures and applications to arithmetic geometry
  • 2010 - 2011 Study on homological conjectures and their applications
Papers (22)：
  • M.Asgharzadeh, S.Ishiro, K.Shimomoto. Surjectivity of some local cohomology map and the second vanishing theorem. Proceedings of the AMS. 2022
  • J.Horiuchi, K.Shimomoto. Weak normality and seminormality in the mixed characteristic case. Journal of Commutative Algebra. 2022. 14. 3. 351-363
  • S.Ishiro, K.Shimomoto. Another proof of the almost purity theorem for perfectoid valuation rings. Journal of Pure and Applied Algebra. 2022. 226. 7
  • K.Nakazato, K.Shimomoto. Finite \'etale extensions of Tate rings and decompletion of perfectoid algebras. Journal of Algebra. 2022. 589. 114-158
  • K.Kurano, K.Shimomoto. Ideal-adic completion of quasi-excellent rings (after Gabber). Kyoto Journal of Mathematics. 2021. 61. 3. 707-722
ｍore...
MISC (1)：
  • L.Ma, K.Schwede, K.Shimomoto. Local cohomology of Du Bois singularities and applications to families. Compositio Mathematica. 2017. 153. 2147-2170
Books (1)：
  • 関数事典
    朝倉書店 2013
Lectures and oral presentations  (17)：
  • Almost Cohen-Macaulay algebras
    (Virtual commutative algebra seminar in Tehran 2022)
  • Searching Noetherian rings via deformation theory
    (The 42st Japan Symposium on Commutative Algebra 2021)
  • 数論と可換環論の応用ーホモロジカル予想を超えてー
    (日本数学会・秋季総合分科会 2021)
  • Perfectoid Spaces-Part 2
    (Virtual Commutative Algebra Seminars 2021)
  • Perfectoid Spaces-Part 1
    (Virtual Commutative Algebra Seminars 2021)
ｍore...
Education (5)：
  • 2003 - 2006 University of Utah
  • 2001 - 2003 University of Utah
  • 2001 - 2002 大阪大学理学研究科 前期博士課程
  • 2001 - 2002 大阪大学理学研究科 前期博士課程
  • 1997 - 2001 岡山理科大学 理学部 応用数学科
Work history (1)：
  • 2006/09 - 2008/04 University of Minnesota Department of Mathematics Visiting Asssistant Professor
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