Research keywords (9):
Number theory
, Automorphic forms
, Automorphic representations
, Trace formulas
, L-functions
, Harmonic analysis
, Spectral zeta functions
, Noncommutative probability theory
, Ramanujan graphs
Research theme for competitive and other funds (9):
2021 - 2027 Creation and development of mathematical foundations for cryptography required by the post-quantum society
2021 - 2026 保型形式の周期の非消滅定理と漸近公式の研究
2022 - 2025 グラフの増大列に関する量子カオス現象の解析
2020 - 2024 パラメーター付き跡公式とL関数の量子確率論的研究
2020 - 2024 代数的保型形式の次元評価
2019 - 2022 量子古典対応および量子カオスの観点に基づくグラフの増大列の解析とその応用
2014 - 2022 Mathematical Modelling for Next-Generation Cryptography
2018 - 2020 ガロア型対称空間に対する明示的な相対跡公式の研究
2013 - 2015 相対跡公式と保型L関数の中心値の研究
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Papers (14):
Takehiro Hasegawa, Takashi Komatsu, Norio Konno, Hayato Saigo, Seiken Saito, Iwao Sato, Shingo Sugiyama. The limit theorem with respect to the matrices on non-backtracking paths of a graph. Annals of Combinatorics. 2023. 27. 249-268
Shingo Sugiyama, Ade Irma Suriajaya. Weighted one-level density of low-lying zeros of Dirichlet L-functions. Research in Number Theory. 2022. 8
Shingo Sugiyama, Masao Tsuzuki. Quantitative non-vanishing of central values of certain L-functions on GL(2) × GL(3). Mathematische Zeitschrift. 2022. 301. 2. 1447-1479
Hyungrok Jo, Shingo Sugiyama, Yoshinori Yamasaki. Ramanujan Graphs for Post-Quantum Cryptography. International Symposium on Mathematics, Quantum Theory, and Cryptography, eds. T. Takagi et al., Mathematics for Industry. 2020. 33. 231-250
Integrality of Hecke eigenvalues and the growth of Hecke fields
(Sendai spring conference on automorphic forms 2024)
I-Bessel lattice sums and their relations to theta functions, coding theory and heat equations
(The 17th Young Mathematicians Conference on Zeta Functions 2024)
On relations between L-functions and random matrix theory
(2023)