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Tokushima University ⟩ Graduate School of Technology, Industrial and Social Sciences ⟩ Division of Science and Technology ⟩ Mathematical Science ⟩ Mathematical Methods in Sciences ⟩
Tokushima University ⟩ Faculty of Science and Technology ⟩ Department of Science and Technology ⟩ Mathematical Science ⟩ Mathematical Methods in Sciences ⟩
Tokushima University ⟩ Graduate School of Sciences and Technology for Innovation ⟩ Science and Technology ⟩ Mathematical Sciences ⟩ Mathematical Methods in Sciences ⟩ 		(Files for researchmap) [PDF manual] [Auto-propagate to researchmap]

Research

Personal Web Page

Field of Study

○ Mathematics

Subject of Study

○ Arithmetic Geometry

Book / Paper

Academic Paper (Judged Full Paper):

1. Masanori Asakura and Kazuaki Miyatani :
Milnor K-theory, F-isocrystals and syntomic regulators,
Journal of the Institute of Mathematics of Jussieu, 23, 3, 1357-1415, 2024.
(DOI: 10.1017/S1474748023000208,   CiNii: 1050025031473307648,   Elsevier: Scopus)
2. Kazuaki Miyatani :
Generalized hypergeometric arithemtic D-modules under a p-adic non-Liouvilleness condition,
Proceedings of the American Mathematical Society, 150, 3215-3229, 2022.
(DOI: 10.1090/proc/15814)
3. Kazuaki Miyatani :
p-adic generalized hypergeometric functions from the viewpoint of arithmetic D-modules,
The American Journal of Mathematics, 142, 4, 1017-1050, 2020.
(DOI: 10.1353/ajm.2020.0030)
4. Kazuaki Miyatani :
Logarithmic exact crystalline Poincare lemma of higher level modulo p,
Journal of Algebra, 451, 1, 85-114, 2016.
(DOI: 10.1016/j.jalgebra.2015.06.012)
5. Kazuaki Miyatani :
Monomial deformations of certain hypersurfaces and two hypergeometric functions,
International Journal of Number Theory, 15, 8, 2405-2430, 2015.
(DOI: 10.1142/S1793042115501122)
6. Kazuaki Miyatani :
Finiteness of crystalline cohomology of higher level,
Annales de l'Institut Fourier, 65, 3, 975-1004, 2015.
(Tokushima University Institutional Repository: 2012030,   DOI: 10.5802/aif.2949)
7. Kazuaki Miyatani and Sano Makoto :
An exponential sum and higher-codimensional subvarieties of projective spaces over finite field,
Hiroshima Mathematical Journal, 44, 3, 327-340, 2014.
(Tokushima University Institutional Repository: 2014528,   DOI: 10.32917/hmj/1419619750)

Review, Commentary:

1. Kazuaki Miyatani :
D加群とp進微分方程式,
数理科学, 64, 7, 40-46, Jul. 2026.

Proceeding of International Conference:

1. Kazuaki Miyatani :
Counting rational points on certain varieties via arithmetic GKZ hypergeometric functions,
Number theory and p-adic methods in Fukuoka, Fukuoka, Apr. 2026.
2. Kazuaki Miyatani :
Cancellation theorem for p-adic hypergeometric sheaves,
p-adic cohomolgoy and arithmetic geometry 2022, Nov. 2022.

Proceeding of Domestic Conference:

1. Kazuaki Miyatani :
Hodge–Pink 理論と等標数クリスタリン表現 (4),
第33回整数論サマースクール, Aug. 2026.
2. Kazuaki Miyatani :
Hodge–Pink 理論と等標数クリスタリン表現 (3),
第33回整数論サマースクール, Aug. 2026.
3. Kazuaki Miyatani :
Hodge-Pink 理論と等標数クリスタリン表現 [後],
Function Field Arithmetic in Ikebukuro, Jun. 2026.
4. Kazuaki Miyatani :
crystalline 実現と比較同型,
川越 Hodge-Pink 理論 Mini Workshop, Dec. 2025.
5. Kazuaki Miyatani :
Counting rational points on certain curves via arithmetic GKZ hypergeometric functions,
超幾何関数の数論とその周辺, Jul. 2025.
6. Kazuaki Miyatani :
Dwork family, hypergeometric functions and arithmetic,
Algebraic Geometry, Topology, Combinatorics and Related Topics 2025, Mar. 2025.
7. Kazuaki Miyatani :
p-進超幾何微分方程式と数論的D-加群,
徳島大学数学談話会, Dec. 2024.
8. Kazuaki Miyatani :
Cancellation theorem for p-adic hypergeometric D-modules,
L-functions and Motives in Niseko, Sep. 2024.
9. Kazuaki Miyatani :
p-adic hypergeometric D-modules and cancellation theorem, II,
·, Sep. 2024.
10. Kazuaki Miyatani :
p-adic hypergeometric D-modules and cancellation theorem, I,
·, Sep. 2024.
11. Kazuaki Miyatani :
Cancellation theorem for p-adic hypergeometric D-modules,
数論幾何学とその周辺 - 中島幸喜先生還暦記念研究集会, May 2024.

Et cetera, Workshop:

1. Kazuaki Miyatani :
無限に広くて無限に深い有限体の世界,
数学セミナー, 60, 10, 100, Oct. 2021.

Grants-in-Aid for Scientific Research (KAKEN Grants Database @ NII.ac.jp)