Shiga Hironori

シガヒロノリ | Shiga Hironori

Affiliation and department：

Research field (1)： Algebra

Research keywords (3)： hypergeometric differential equations , modular functions , K3 surfaces

Research theme for competitive and other funds (19)：

2019 - 2023 K3 modular functions and period hypergeometric differential equations
2015 - 2018 超幾何系由来の K3 保型形式の研究とその数論への応用
2011 - 2014 カラビ・ヤウ曲面族の数論的側面と超幾何系
2010 - 2012 Geometric study of special functions
2008 - 2011 多変数保型形式と多変数超幾何函数に内在する数論的関係

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Papers (22)：

Atsuhira Nagano, Hironori Shiga. Geometric Interpretation of Hermitian Modular Forms via Burkhardt Invariants. Transformation Groups. 2024. (29). 253-275,
Hironori Shiga. Hypergeometric K3 modular forms. Sugaku. 2024. 掲載決定. 1-30,
Atsuhira Nagana, Hironori Shiga. On Kummer-like surfaces attached to singularity and modular forms. Mathematische Nachrichten. 2023. (296),. 2513-2534,
Hironori Shiga. An explicit Shimura canonical model for the quaternion algebra of discriminant 6. RIMS Kokyuroku Bessatsu. 2020. B77,. 127-140,
Hironori Shiga. The Shimura canonical model for the quaternion algebra of discriminant 6 on the Ihara-Kurihara conic. J. Number Theory. 2019. (201),. 257-279,

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MISC (16)：

志賀弘典. 楕円積分と楕円函数. 数学セミナー. 2021. 60. 10. 8-14
志賀弘典. 途上国での数学講義/ パキスタンとルワンダでの滞在を回顧しつつ. 数学セミナー. 2021. 60. 4. 50-54
Hironori Shiga. Introduction to Modular forms. Mathematical Sciences. 2021. 59. 2. 15-23
Hironori Shiga. Lectures on algebraic crves. Lectures at Tribhuvan university. 2017
志賀弘典. 「超幾何学校 2016:ヒルベルト第12問題への(多変数)超幾何保型函数からのアプローチ」. 集中講義「超幾何学校 2016」、神戸大学. 2016

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Books (6)：

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Lectures and oral presentations (17)：

Backstage of K3-hypergeometric Arithmetic-Geometric means
(2023)
A story of K3 hypergeometric modular forms
(Seminario di Algebra e Geometria, Dipartimento di Matematica Universit`a di Roma 2022)
K3 hypergeometric modular forms
(Seminario su geometria algebrica e teoria dei numeri, dep. math., Padova University 2022)
K3的超幾何保型形式後半
(千葉大学保型形式セミナー 2022)
K3的超幾何保型形式前半
(千葉大学保型形式セミナー 2022)

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Education (5)：

Work history (10)：

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