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J-GLOBAL ID：201801014780105193 Update date: Sep. 11, 2024

Kashio Tomokazu

カシオトモカズ | Kashio Tomokazu

Affiliation and department：
Job title： Associate Professor
Homepage URL (2)： https://www.rs.tus.ac.jp/a25594/index.html , https://www.rs.tus.ac.jp/a25594/index_en.html

Research field (1)： Algebra

Research keywords (1)： number theory

Research theme for competitive and other funds (4)：

2022 - 2027 代数体、整数環、単数群の明示的な構成、及び関連する数論的諸問題
2017 - 2023 CM型代数曲線の族、多重ガンマ関数、スターク予想、及び関連する数論的諸問題
2011 - 2015 On the relation between L-functions and periods, and the related problems in number theory
2009 - 2014 Strategic Research to solve certain conjectures in Arithmetic Geometry

Papers (15)：

Tomokazu Kashio. Note on Coleman's formula for the absolute Frobenius on Fermat curves. ANNALES DE L INSTITUT FOURIER. 2024
Tomokazu Kashio, Ryutaro Sekigawa. The characterization of cyclic cubic fields with power integral bases. Kodai Mathematical Journal. 2021. 44. 2. 290-306
Tomokazu Kashio. A period-ring-valued gamma function and a refinement of the reciprocity law on Stark units. RIMS Kôkyûroku Bessatsu. 2020. B83. 169-181
Tomokazu Kashio. p-adic measures associated with zeta values and p-adic log multiple gamma functions. International Journal of Number Theory. 2019. 15. 05. 991-1007
Tomokazu Kashio. On the ratios of Barnes' multiple gamma functions to the p-adic analogues. JOURNAL OF NUMBER THEORY. 2018. 199. 403-435

MISC (16)：

加塩朋和. ガンマ関数の関数等式とCM周期の単項関係式の対応とその応用. 第67回代数学シンポジウム報告集. 2023. 73-84
加塩朋和. On a common refinement of Stark units and Gross-Stark units. 早稲田大学整数論研究集会 2019報告集. 2021. 1-11
加塩朋和. On a common refinement of Stark units and Gross-Stark units. 早稲田大学整数論研究集会 2019報告集. 2021. 1-11
加塩朋和. Rubin's integral refinement. 第20回整数論サマースクール「Stark予想」報告集. 2013. 1. 1. 93-104
加塩朋和. 有理数体上のStark予想の証明. 第20回整数論サマースクール「Stark予想」報告集. 2013. 1. 1. 15-26

Books (1)：

Lectures and oral presentations (51)：

円分Z2拡大の極小相対単数について
(プロジェクト研究集会2023 2024)
フェルマー曲線上のフロベニウス行列の公式とその一般化に関して
(プロジェクト研究集会2022 2023)
ガンマ関数の関数等式とCM周期の単項関係式の対応とその応用
(第67回代数学シンポジウム 2022)
p進ガンマ関数の関数等式と連続性に関して
(プロジェクト研究集会2021 2022)
整数論におけるp進的手法の紹介
(代数学の萌芽 2022)

Education (3)：

- 2005 Kyoto University Graduate School, Division of Natural Science Mathematics, Mathematical Sciences
- 2005 Kyoto University Graduate School, Division of Natural Science Mathematics, Mathematical Sciences
- 1999 Kyoto University Faculty of Science Mathematics, Mathematical Sciences

Professional career (1)：

Work history (7)：

2020/04 - 現在 Tokyo University of Science Faculty of Science and Technology, Department of Mathematics Associate Professor
2010/04 - 2020/03 Tokyo University of Science Faculty of Science and Technology, Department of Mathematics Lecturer
2010 - 2010 慶應大学理工学部数理科学科特別研究助教
2007 - 2010 日本学術振興会特別研究員PD
2006 - 2007 Osaka City University Graduate School of Science

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Committee career (1)：

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