Rchr
J-GLOBAL ID:201401096984317714   Update date: Jan. 27, 2026

Miyatani Kazuaki

ミヤタニ カズアキ | Miyatani Kazuaki
Affiliation and department:
Homepage URL  (2): https://math.miyatani.org/http://miyatani.org/
Research field  (1): Algebra
Research theme for competitive and other funds  (2):
  • 2022 - 2025 超幾何函数の数論幾何学的理論の発展
  • 2017 - 2020 数論的非線型微分方程式とそのフロベニウス構造
Papers (7):
  • Masanori Asakura, Kazuaki Miyatani. Milnor K-theory, F-isocrystals and syntomic regulators. Journal of the Institute of Mathematics of Jussieu. 2023. 1-59
  • Kazuaki Miyatani. Generalized hypergeometric arithemtic D-modules under a p-adic non-Liouvilleness condition. Proc. Amer. Math. Soc. 2022. 150. 3215-3229
  • Kazuaki Miyatani. $p$-adic generalized hypergeometric equations from the viewpoint of arithmetic $\scr{D}$-modules}. American Journal of Mathematics. 2020. 142. 4. 1017-1050
  • Kazuaki Miyatani. Logarithmic exact crystalline Poincare lemma of higher level modulo p. Journal of Algebra. 2016. 451. 1. 85-114
  • Kazuaki Miyatani. Monomial deformations of certain hypersurfaces and two hypergeometric functions. International Journal of Number Theory. 2015. 11. 8. 2405-2430
more...
MISC (1):
  • 宮谷 和尭. 無限に広くて無限に深い有限体の世界. 数学セミナー. 2021. 100
Lectures and oral presentations  (34):
  • Cancellation theorem for p-adic hypergeometric D-modules
    (2024)
  • Cancellation theorem for p-adic hypergeometric sheaves
    (2022)
  • p-進超幾何微分方程式と p-進 Liouville 数
    (第63回代数学シンポジウム 2018)
  • p-adic hypergeometric D-modules and multiplicative convolution
    (11th Conference of Arithmetic and Algebraic Geometry, 2018 2018)
  • 有限体上の超幾何函数とp-進超幾何微分方程式
    (北海道特殊関数セミナー 2017)
more...
Education (2):
  • 2010 - 2013 The University of Tokyo Graduate School of Mathematical Sciences
  • 2008 - 2010 The University of Tokyo Graduate School of Mathematical Sciences
Professional career (1):
  • Mathematical Sciences (University of Tokyo)
Work history (8):
  • 2024/03 - 現在 Tokushima University
  • 2023/04 - 2024/03 Osaka Metropolitan University Specially Appointed Lecturer
  • 2019/04 - 2023/03 Tokyo Denki University
  • 2017/04 - 2019/03 Hiroshima University Assistant Professor
  • 2016/01 - 2017/03 Hiroshima University Assistant Professor (Special Appointment)
Show all
Awards (2):
  • 2013/03 - Graduate School of Mathematical Sciences, The University of Tokyo Dean's Award
  • 2010/03 - Graduate School of Mathematical Sciences, The University of Tokyo Dean's Award
Association Membership(s) (1):
The Mathematical Society of Japan
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