Narita Hiroaki

ナリタヒロアキ | Narita Hiroaki

Affiliation and department：
Homepage URL (2)： https://hnarita.w.waseda.jp/narita.htm , http://hnarita.w.waseda.jp/english.htm

Research field (1)： Algebra

Research keywords (4)：保型形式論 , 整数論 , automorphic forms , Number theory

Research theme for competitive and other funds (11)：

2023 - 2026 The study of Whittaker functions for degenerate characters and their application to the global theory of automorphic forms
2019 - 2023 The construction of new research foundation for automorphic forms based on Fourier expansions in non-abelian directions
2016 - 2018 実双曲空間上の実解析保型形式のリフティングによる多様な構成と多方面分野への応用
2014 - 2017 Studies on symmetries for automorphic forms and Borcherds products
2012 - 2014 保型形式の整数論、具体的構成の観点からの研究領域の拡張

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Papers (19)：

Hiro-aki Narita. On the rapidly decreasing property of Whittaker functions of Sp(2,R). Journal of Lie theory. 2025. 35. 1. 55-82
Shuji Horinaga, Hiro-aki Narita. Cuspidal components of Siegel modular forms for large discrete series representations of $$\textrm{Sp}_4({\mathbb {R } }). manuscripta mathematica. 2023
Hiro-aki Narita, Ameya Pitale, Siddhesh Wagh. An explicit lifting construction of CAP forms on O(1,5). International Journal of Number Theory. 2023. 19. 06. 1337-1378
Hiro-aki Narita. Jacquet-Langlands-Shimizu correspondence for theta lifts to GSp(2) and its inner forms II: an explicit formula for Bessel periods and the non-vanishing of theta lifts. Journal of the mathematical society of Japan. 2021. 73. 1. 125-159
Kousuke Sugimoto, Hiro-aki Narita. Modular degrees of elliptic curves and some quotients of L-values. Tokyo Journal of mathematics. 2020. 43. 2. 279-293

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MISC (8)：

Muto Masanori, Narita Hiro-aki, Pitale Ameya. Lifting from Maass cusp forms for $\Gamma_0(2)$ to cusp forms on GL(2) over a division quaternion algebra (Automorphic Forms and Related Zeta Functions). RIMS Kokyuroku. 2015. 1934. 1-13
Murase Atsushi, Narita Hiro-aki. Fourier expansion of Arakawa lifting and central L-values (Automorphic forms, automorphic representations and related topics). RIMS Kokyuroku. 2010. 1715. 143-158
Murase Atsuhi, Narita Hiro-aki. Fourier expansion of Arakawa lifting (Automorphic Representations, Automorphic Forms, L-functions, and Related Topics). RIMS Kokyuroku. 2008. 1617. 1-10
Murase Atsushi, Narita Hiro-aki. Commutation relation of Hecke operators for Arakawa lifting(Automorphic representations, L-functions, and periods). RIMS Kokyuroku. 2006. 1523. 148-157
Narita Hiro-aki. Explicit construction of automorphic forms on $Sp(1,q)$(Automorphic Forms and Automorphic L-Functions). RIMS Kokyuroku. 2006. 1468. 137-148

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Lectures and oral presentations (17)：

Group theory and automorphic forms
(HEP seminar (Max Planck Institute for Gravitational physics, AEI) 2025)
Koecher principle for quaternionic discrete series
(2025)
Sup norm bounds for some theta lifts to O(1,8n+1)
(RIMS workshop 2024, Analytic Number Theory and Related Topics 2024)
Automorphic forms generating quaternionic discrete series representations
(Karcher Colloquium (at University of Oklahoma) 2024)
Fourier-Jacobi expansion of cusp forms generating quaternionic discrete series
(RIMS conference``Research on automorphic forms'' 2024)

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Education (4)：

- 2000 The University of Tokyo
- 2000 The University of Tokyo Graduate School, Division of Mathematical Sciences
- 1995 Waseda University School of Science and Engineering
- 1995 Waseda University Faculty of Science and Engineering

Professional career (1)：

Work history (8)：

2018 - 現在 Waseda University Faculty of Science and Engineering
2008 - 2017 Kumamoto University Graduate School of Science and Technology
2006 - 2008 大阪市立大学数学研究所 COE研究所員
2006 - 2008 COE Researcher, Advanced Mathematical Institute,Osaka City University
2008 - Associate Professor, ,Graduate School of Science and Technology(Science group),Kumamoto University

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