Professor WAKATSUKI Satoshi
Faculty, Affiliation
Faculty of Mathematics and Physics, Institute of Science and Engineering
College and School Educational Field
Division of Mathematical and Physical Science, Graduate School of Natural Science and Technology
Division of Mathematical and Physical Sciences, Graduate School of Natural Science and Technology
School of Mathematics and Physics, College of Science and Engineering
Laboratory
Academic Background
【Academic background(Doctoral/Master's Degree)】
Osaka University Doctor Graduate School, Division of Natural Science 200503 Completed
Osaka University Master Graduate School, Division of Natural Science 200203 Completed
【Academic background(Bachelor's Degree)】
Osaka University 200003
【Degree】
Doctor of Science
Master of Science
Career
Kyoto University(2005/04-2006/03)
Kanazawa University Assistant(2006/04-2007/03)
Kanazawa University Assistant Professor(2007/04-2008/03)
Kanazawa University Institute of Science and Engineering Faculty of Mathematics and Physics Assistant Professor(2008/04-2012/03)
Kanazawa University Institute of Science and Engineering Faculty of Mathematics and Physics Associate Professor(2012/04-2018/11)
Kanazawa University Institute of Science and Engineering Faculty of Mathematics and Physics Professor(2018/12-)
Year & Month of Birth
1977/11
Academic Society
The Mathematical Society of Japan
The Japan Society for Industrial and Applied Mathematics
Award
The Japan Society for Industrial and Applied Mathematics
Specialities
Number theory
Speciality Keywords
Automorphic form, Automorphic representation, Trace formula, Shintani zeta function, Automorphic period, Quaternion algebra, Quadratic form.
Research Themes
Quadratic form and Cryptography
Prehomogeneous zeta function
Asymptotic behavior of Hecke eigenvalues
Asymptotic behavior of automorphic periods
Books
Papers
- Mass formulas and Eisenstein congruences in higher rank Kimball Martin,Satoshi Wakatsuki Journal of Number Theory 257 249 2024/04
- Distribution of toric periods of modular forms on definite quaternion algebras Miyu Suzuki,Satoshi Wakatsuki,Shun’ichi Yokoyama Research in Number Theory 8 4 2022/12
- Asymptotics for Hecke eigenvalues of automorphic forms on compact arithmetic quotients Pablo Ramacher,Satoshi Wakatsuki Advances in Mathematics 404 108372 2022/08
- The Shintani double zeta functions Henry H. Kim,Masao Tsuzuki,Satoshi Wakatsuki Forum Mathematicum 34 2 469 2022/03/01
- Subconvex bounds for Hecke–Maass forms on compact arithmetic quotients of semisimple Lie groups Pablo Ramacher,Satoshi Wakatsuki Mathematische Zeitschrift 298 1383 2021/08
- Equidistribution theorems for holomorphic Siegel modular forms for $$GSp_4$$; Hecke fields and n-level density Henry H. Kim,Satoshi Wakatsuki,Takuya Yamauchi Mathematische Zeitschrift 295 3-4 917 2020/08
- An equidistribution theorem for holomorphic Siegel modular forms for GSp_4 Henry H. Kim,Satoshi Wakatsuki,Takuya Yamauchi Journal of the Institute of Mathematics of Jussieu 19 2 351 2020/03
- The dimensions of spaces of Siegel cusp forms of general degree S. Wakatsuki Advances in Mathematics 340 1012 2018
- The subregular unipotent contribution to the geometric side of the Arthur trace formula for the split exceptional group G_2 Tobias Finis, Werner Hoffmann, Satoshi Wakatsuki Proceedings of the Simons symposium 163 2018
- On the Geometric Side of the Arthur Trace Formula for the Symplectic Group of Rank 2 Werner Hoffmann,Satoshi Wakatsuki Memoirs of the American Mathematical Society 1224 2018
- Congruences modulo 2 for dimensions of spaces of cusp forms Satoshi Wakatsuki JOURNAL OF NUMBER THEORY 140 169 2014/07
- Multiplicity formulas for discrete series representations in L-2(Gamma\Sp(2, R)) Satoshi Wakatsuki JOURNAL OF NUMBER THEORY 133 10 3394 2013/10
- Dimension formulas for spaces of vector-valued Siegel cusp forms of degree two Satoshi Wakatsuki JOURNAL OF NUMBER THEORY 132 1 200 2012/01
- RELATIONS AMONG DIRICHLET SERIES WHOSE COEFFICIENTS ARE CLASS NUMBERS OF BINARY CUBIC FORMS Yasuo Ohno,Takashi Taniguchi,Satoshi Wakatsuki AMERICAN JOURNAL OF MATHEMATICS 131 6 1525 2009/12
- Siegel modular forms of small weight and the Witt operator Tomoyoshi Ibukiyama, Satoshi Wakatsuki Contemp. Math. 493 189 2009
- Igusa local zeta functions and integration formulas associated to equivariant maps S Wakatsuki OSAKA JOURNAL OF MATHEMATICS 42 2 463 2005/06
- The Igusa local zeta function of the simple prehomogeneous vector space (GL(1)(4)xSL(2n+1), Lambda(2)circle plus Lambda(1)circle plus Lambda(1)circle plus Lambda(1)) S Wakatsuki JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN 57 1 115 2005/01
- Igusa local zeta functions of regular $2$-simple prehomogeneous vector spaces of type I with universally transitive open orbits S. Wakatsuki Math. J. Okayama Univ. 46 1 85 2004
- $b$-Functions of regular $2$-simple prehomogeneous vector spaces associated to the symplectic group and the orthogonal group S. Wakatsuki Comment. Math. Univ. St. Pauli 53 2 121 2004
Conference Presentations
Others
- EQUIDISTRIBUTION THEOREM FOR HOLOMORPHIC SIEGEL MODULAR FORMS KIM,HENRY H. / WAKATSUKI,SATOSHI / YAMAUCHI,TAKUYA RIMS Kôkyûroku 2136 207‐‐217 2019/12
- Multiplicity formulas for large discrete series representations of Sp(2,R) 2009
- On traces of Hecke operators on spaces of Siegel cusp forms of degree two (Automorphic Representations, Automorphic Forms, L-functions, and Related Topics) Wakatsuki Satoshi RIMS Kokyuroku 1617 193 2008/10
- AN EXPLICIT DIMENSION FORMULA FOR THE SPACES OF VECTOR VALUED SIEGEL CUSP FORMS OF DEGREE TWO(Automorphic Forms and Automorphic L-Functions) Wakatsuki Satoshi RIMS Kokyuroku 1468 163 2006/02
- b-Functions of prehomogeneous vector spaces 2003
- Some $b$-functions of regular 2-simple prehomogeneous vector spaces of type I (Automorphic Forms and their Dirichlet series) Wakatsuki Satoshi RIMS Kokyuroku 1281 154 2002/08
Arts and Fieldwork
Patent
Theme to the desired joint research
○Number theory
○cryptography
Grant-in-Aid for Scientific Research
○「保型形式の周期の非消滅定理と漸近公式の研究」(2021-2025)
○「代数的保型形式の次元評価」(2020-2023)
○「ヘッケ固有値の漸近公式とアーサー跡公式の研究」(2018-2020)
○「アーサー跡公式の幾何サイドの研究と明示的跡公式への応用」(2014-2017)
○「多変数保型形式の空間上のヘッケ作用素の明示的跡公式」(2008-2011)
○「有界称領域上のカスプ形式の空間の明示的次元公式」(2006-2007)