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J-GLOBAL ID:200901060752503851
Update date: Jun. 18, 2024
Tsuyumine Shigeaki
ツユミネ シゲアキ | Tsuyumine Shigeaki
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Research field (1):
Algebra
Research keywords (1):
modular functions, L-functions, quadratic forms
Research theme for competitive and other funds (20):
2016 - 2019 Shimura lifting of Hilbert modular forms and its application
2002 - 2005 Kac-Moody Lie algebras and Hilbert modular forms
1999 - 2001 Hilbert modular forms and quadratic forms
1997 - 1999 Shimura lifting of Hilbert modular forms
1995 - 1996 L-functions of algebraic number fields and automorphic representations
1996 - 1996 モジュライ空間の幾何学的研究
1996 - 1996 サイバーグ・ウィッテン方程式とそのモジュライ空間の研究
1995 - 1995 共形場理論のモノドロミ-表現と量子群の表現の研究
1995 - 1995 安定ベクトル束の構成とそのモジュライの研究
1994 - 1994 ソリトン方程式の研究
1994 - 1994 ヤン・ミル場の構成とそのモジュライの研究
1993 - 1993 作用素論的方法による極限定理の研究
1993 - 1993 有理型関数の真性特異点集合の対数容量
1993 - 1993 Isotropicアフィン・スーパー代数の表現論とW代数及び保型函数の研究
1992 - 1992 代数群と保型函数および志村多様体の研究
1992 - 1992 W代数の表現と共形場理論の研究
1990 - 1991 Moduli spaces of Riemann surfaces and theta functions
1991 - 1991 無限次元リ一環の表現と係型函数及び共形場理論の研究
1988 - 1989 Study on higher dimensional moduli spaces
1989 - 1989 量子場の理論と無限次元リ-環の表現論
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Papers (27):
TSUYUMINE Shigeaki. Petersson scalar products and L-functions arising from modular forms. Ramanujan. J. 2020. 52. 1. 1-40
Shigeaki Tsuyumine. The values of Hilbert-Eisenstein series at cusps, III. Bull. Fac. Educ. Mie Univ. 2020. 71. 15-30
TSUYUMINE Shigeaki. Petersson scalar products and L-functions arising from modular forms. arxiv.org. 2018
TSUYUMINE Shigeaki. On Shimura lifting of Hilbert modular forms. Research in Number Theory. 2018. 4:40. 1-45
Shigeaki Tsuyumine. Shimura lifting of modular forms of weight 3/2. RAMANUJAN JOURNAL. 2016. 39. 2. 363-449
more...
MISC (2):
露峰 茂明. Hilbert modular group と Siegel modular group の保型因子(保型形式とゼータ関数の研究). 数理解析研究所講究録. 1991. 752. 123-133
Tsuyumine Shigeaki. Rings of automorphic forms which are not Cohen-Macaulay. RIMS Kokyuroku. 1986. 595. 1-12
Education (4):
- 1979 University of Tsukuba
- 1979 University of Tsukuba Graduate School, Division of Natural Science
- 1974 Saitama University Faculty of Science
- 1974 Saitama University Faculty of Science
Professional career (3):
Ph. D. (Mathematics) (University of Tsukuba)
理学修士 (東京教育大学)
Master of Science (Tokyo University of Education)
Committee career (1):
1995 - 日本数学会 評議員
Association Membership(s) (1):
日本数学会
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