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Kakuhama, Hirotaka
Graduate School of Science, Division of Mathematics and Mathematical Sciences Program-Specific Assistant Professor
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Last Updated :2026/10/19
Basic Information
Email Address
Email Address
kakuhama.hirotaka.8i
kyoto-u.ac.jp
Academic Degree
Academic Resume (Undergraduate School/Majors)
Research History
- From Apr. 2026, To PresentKyoto University, Graduate School of Science Division of Mathematics, 特定助教
- From Apr. 2023, To Mar. 2026Hokkaido University, Faculty of Science, 日本学術振興会特別研究員 (PD)
- From Oct. 2025, To Feb. 2026Hokkaido University, School of Science, 非常勤講師
- From Apr. 2025, To Aug. 2025Hokkaido University, School of Science, 非常勤講師
- From Oct. 2024, To Feb. 2025Hokkaido University, School of Science, 非常勤講師
- From Oct. 2023, To Feb. 2024Hokkaido University, School of Science, 非常勤講師
- From Apr. 2022, To Mar. 2023Osaka Metropolitan University, 数学研究所, 専任特別研究員
- From Apr. 2021, To Mar. 2022Kyoto University, 日本学術振興会特別研究員 (PD)
- From Apr. 2020, To Mar. 2021Kyoto University, 日本学術振興会特別研究員 (DC2)
ID,URL
ORCID ID
J-Global ID
Researcher number
40965208
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Last Updated :2026/10/19
Research
Research Topics, Overview of the research
Research Topics
My research focuses on endoscopy, the theta correspondence, and related topics in the theory of automorphic forms and representations of reductive groups, and its local aspects.Overview of the research
My research specifically focuses on the representation theory of quaternionic unitary groups. For these classes of groups, the theta correspondence which sets up a correspondence between representations of two groups is available. On the other hand, there are some differences between that of symplectic groups and orthogonal groups in the classification theory that is discussed in the framework of endoscopy. I aim to develop these theories and use them to study representation-theoretic properties.
Research Interests
- Representations of p-adic Reductive Groups
- Theta Correspondence
- Theory of Endoscopy
- Automorphic Representation
Research Areas
Papers
- Formal degrees and the local theta correspondence: The quaternionic caseHirotaka KakuhamaRepresentation Theory, 20 Dec. 2022
- On the local doubling γ-factor for classical groups over function fieldsHirotaka KakuhamaJournal of Number Theory, Apr. 2022
- On the local factors of irreducible representations of quaternionic unitary groupsHirotaka Kakuhamamanuscripta mathematica, 30 Oct. 2019
Presentations
- 局所テータ対応とLanglandsパラメータ角濱寛隆数論合同セミナー, 13 Dec. 2024
- An extension of the conjecture of Prasad to quaternionic dual pairsHirotaka Kakuhama24 hours of theta, 09 Sep. 2024
- 局所テータ対応とLanglandsパラメータ角濱寛隆2024早稲田整数論セミナー, 05 Mar. 2024
- Local theta correspondences for quaternionic dual pairs and Langlands parametersHirotaka KakuhamaAMS Special Session on Theta Correspondence II, 2024 Joint Mathematics Meetings, 03 Jan. 2024
- Langlands parameters for quaternionic unitary groups and Local theta correspondencesHirotaka Kakuhama24th Autumn Workshop on Number Theory, 30 Oct. 2023
- Extending the conjecture of Prasad to quaternionic dual pairs角濱寛隆北大数論セミナー, 20 Dec. 2022
- Local theta correspondences for quaternionic dual pairs and Langlands parameters角濱寛隆RIMS共同研究: 保型形式、保型L関数とその周辺, 26 Jan. 2022
- Local theta correspondences for quaternionic dual pairs and Langlands parameters角濱寛隆金沢整数論オータムワークショップ ２０２１, 20 Oct. 2021
- On the formal degree conjecture for inner forms of Sp4 and GSp4角濱寛隆RIMS共同研究: 保型形式，保型表現, ガロア表現とその周辺, 26 Jan. 2021
- Formal degree and theta correspondence: Quaternion CasesHirotaka KakuhamaRepresentation Theory and Number Theory (National University of Singapore), 23 Sep. 2020
- Formal degree and Theta correspondence: quaternion cases角濱寛隆第19回仙台広島整数論集会, 11 Sep. 2020
- The doubling γ-factor over Local Function Field角濱寛隆南大阪保型表現セミナー, 24 Nov. 2019
- On the local factors of irreducible representations of Quaternionic unitary groupsHirotaka Kakuhama第17回仙台広島整数論集会, 11 Jul. 2018
- On the γ-factors of irreducible representations of Quaternionic unitary groupsHirotaka Kakuhama第5回京都保型形式研究集会, 29 Jun. 2018
- 四元ユニタリ群の既約表現の局所因子の精密な定義について角濱寛隆数論合同セミナー, 11 May 2018
- On The γ-Factors for Quaternionic Unitary GroupsHirotaka KakuhamaThe 3rd KTGU Mathematics Workshop for Young Researchers, 17 Feb. 2018
- 古典群のγ因子について角濱寛隆第一回数理新人セミナー, 16 Feb. 2018
