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last modified：2025/04/03
Associate Professor SUGIYAMA, Shingo
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
Course in Mathematics, School of Mathematics and Physics, College of Science and Engineering
Laboratory
Academic Background
【Academic background(Doctoral/Master's Degree)】
Osaka University Master Graduate School of Science Department of Mathematics 201203 Completed
Osaka University Doctor Graduate School of Science Department of Mathematics 201503 Completed
【Academic background(Bachelor's Degree)】
Osaka University Department of Mathematics 201003
Career
Research Fellow of the Japan Society for the Promotion of Science (DC2)(2013/04-2015/03)
Institute of Mathematics for Industry, Kyushu University Post-doctoral Researcher (CREST, JST)(2015/04-2018/03)
Nihon University College of Science and Technology Department of Mathematics Research Assistant(2018/04-2023/03)
Kobe Univeristy Department of Mathematics, Graduate school of Science Lecturer of an intensive course(2020/10-2020/10)
Japan Science and Technology Agency Center for Research and Development Strategy Specially Appointed Fellow(2021/08-2022/03)
Kanazawa University Faculty of Mathematics and Physics, Institute of Science and Engineering Associate Professor(2023/04-)
Year & Month of Birth
Academic Society
The Mathematical Society of Japan
Award
Specialities
Number theory
Speciality Keywords
Number theory,Automorphic forms,Automorphic representations,Trace formulas,L-functions,Harmonic analysis,Spectral zeta functions,Noncommutative probability theory,Ramanujan graphs
Research Themes
The distribution of zeros of L-functions in a family and random matrix theory
Books
- 社会に最先端の数学が求められるワケ(2) NIPPON HYORON SHA 2022/03/30
Papers
- Lattice sums of I-Bessel functions, theta functions, linear codes and heat equations Takehiro Hasegawa,Hayato Saigo,Seiken Saito,Shingo Sugiyama Research in the Mathematical Sciences 11 2024/10
- The limit theorem with respect to the matrices on non-backtracking paths of a graph Takehiro Hasegawa,Takashi Komatsu,Norio Konno,Hayato Saigo,Seiken Saito,Iwao Sato,Shingo Sugiyama Annals of Combinatorics 27 249 2023/06
- Weighted one-level density of low-lying zeros of Dirichlet L-functions Shingo Sugiyama,Ade Irma Suriajaya Research in Number Theory 8 2022/08
- Quantitative non-vanishing of central values of certain L-functions on GL(2) × GL(3) Shingo Sugiyama,Masao Tsuzuki Mathematische Zeitschrift 301 2 1447 2022/06
- Ramanujan Graphs for Post-Quantum Cryptography Hyungrok Jo,Shingo Sugiyama,Yoshinori Yamasaki International Symposium on Mathematics, Quantum Theory, and Cryptography, eds. T. Takagi et al., Mathematics for Industry 33 231 2020/10
- Optimal estimates for an average of Hurwitz class numbers Shingo Sugiyama,Masao Tsuzuki The Ramanujan Journal 52 91 2020/05
- An explicit trace formula of Jacquet–Zagier type for Hilbert modular forms Shingo Sugiyama,Masao Tsuzuki Journal of Functional Analysis 275 11 2978 2018/12
- A quantum probabilistic approach to Hecke algebras for p-adic PGL(2) Takehiro Hasegawa,Hayato Saigo,Seiken Saito,Shingo Sugiyama Infinite Dimensional Analysis, Quantum Probability and Related Topics 21 03 2018/09
- Security analysis of cryptosystems using short generators over ideal lattices Shinya Okumura,Shingo Sugiyama,Masaya Yasuda,Tsuyoshi Takagi Japan Journal of Industrial and Applied Mathematics 35 2 739 2018/07/01
- Spectral zeta functions for the quantum Rabi models Shingo Sugiyama Nagoya Mathematical Journal 229 52 2018/03
- On analysis of recovering short generator problems via upper and lower bounds of Dirichlet L-functions : Part 1 Shingo Sugiyama Mathematical Modelling for Next-Generation Cryptography,,eds. T. Takagi, et al., Mathematics for Industry 29 257 2017/07
- Relative trace formulas and subconvexity estimates for L-functions of Hilbert modular form Shingo Sugiyama,Masao Tsuzuki ACTA ARITHMETICA 176 1 1 2016/10
- Existence of Hilbert Cusp Forms with Non-vanishing L-values Shingo Sugiyama,Masao Tsuzuki CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES 68 4 908 2016/08
- Asymptotic behaviors of means of central values of automorphic L-functions for GL(2) Shingo Sugiyama JOURNAL OF NUMBER THEORY 156 195 2015/11
- Explicit relative trace formulas for Hilbert modular forms Shingo Sugiyama 2015/03 ?
- REGULARIZED PERIODS OF AUTOMORPHIC FORMS ON GL(2) Shingo Sugiyama TOHOKU MATHEMATICAL JOURNAL 65 3 373 2013/09
Conference Presentations
- 楕円多重ゼータ値の長さ分解(conference：楕円多重ゼータ値勉強会 in 近大)(2024/09/20)
- アイゼンシュタイン級数の反復積分(conference：楕円多重ゼータ値勉強会 in 近大)(2024/09/19)
- Integrality of Hecke eigenvalues for Hilbert and Siegel modular forms(conference：日本数学会秋季分科会)(2024/09/05)
- Integrality of Hecke eigenvalues and the growth of Hecke fields(conference：Sendai spring conference on automorphic forms)(2024/06/21)
- I-Bessel lattice sums and their relations to theta functions, coding theory and heat equations(conference：The 17th Young Mathematicians Conference on Zeta Functions)(2024/02/17)
- On relations between L-functions and random matrix theory(2023/12/05)
- Hecke体の次数増大度の評価について(2023/11/17)
- Weighted density conjecture for families of L-functions(2023/10/27)
- Sums of Bessel functions over lattices and relations to theta functions, linear codes and semi-discrete heat equations(conference：Toward a new method for constructing expander graphs and their applications 2)(2023/09/08)
- Weighted distribution of low-lying zeros of L-functions in a family(conference：The eleventh Pan Asian Number Theory Conference (PANT 2023-Harbin))(2023/08/02)
- 保型形式とL関数の多角的研究について, これまでとこれから(conference：金沢大学 数理学談話会)(2023/04/26)
- Recent progress on the weighted density of low-lying zeros of L-functions in a family(conference：Number Theory in Tokyo)(2023/03/21)
- The existence of equivariant functions and the Schwarzian derivative(conference：日本数学会2023年度年会)(2023/03/15)
- Constructions of Ramanujan graphs and applications to cryptographic hash functions(conference：Waseda Number Theory Conference 2023)(2023/03/07)
- Ramanujan graphs and cryptographic hash functions(conference：The 16h Young Mathematicians Conference on Zeta Functions)(2023/02/17)
- Resolvent trace formulas of Hecke operators and optimal estimates of the Hurwitz class numbers(conference：RIMS conference “Analytic and arithmetic aspect of automorphic representations”)(2023/01/26)
- Integrality of Hecke eigenvalues of modular forms(conference：Algebraic Number Theory and Related Topics 2022)(2022/12/15)
- Quantum probability theory and the Hecke algebra of p-adic PGL(2)(conference：Zeta Functions in OKINAWA 2022)(2022/12/03)
- 同変関数の存在性とシュワルツ微分について(conference：早稲田整数論セミナー)(2022/12/02)
- モジュラー形式のヘッケ固有値の整数性とそのヘッケ体への応用(conference：津田塾大学整数論ワークショップ2022)(2022/11/20)
- Introduction to the Ramanujan-Petersson conjecture and subconvexity(conference：23rd Autumn Workshop on Number Theory,``Analytic number theoretic aspects of automorphic L-functions'')(2022/10/31)
- Weighted one-level density for Dirichlet L-functions(conference：RIMS Workshop 2022,,Analytic Number Theory and Related Topics)(2022/10/13)
- Quantum walks and zeta functions(conference：Crypto-Math CREST mini-workshop,“Quantum computation and cryptography”)(2022/09/12)
- On the Schwarzian derivative and equivariant functions(conference：九大代数学セミナー)(2022/07/15)
- The one-level density for Dirichlet L-functions weighted by L-values(conference：9th Kyoto conference on automorphic forms)(2022/06/24)
- Weighted One-level Density for Symmetric Power L-Functions(conference：Arithmetik an der A7)(2022/06/10)
- On the existence of equivariant functions(conference：Various Aspects of Multiple Zeta Values)(2022/05/18)
- On a weighted density of low-lying zeros of symmetric power L-functions(conference：RIMS conference “Automorphic form, automorphic L-functions and related topics”)(2022/01/24)
- An explicit construction of Ramanujan graphs by using quaternion algebras(conference：Spectral graph theory and related topics 10th workshop)(2021/11/20)
- A non-commutative version of the number of non-backtracking paths on a graph and its limit theorem(conference：A number theoretic approach for Post-Quantum Cryptography related to Ramanujan graphs)(2021/09/02)
- On L-functions and automorphic forms(conference：第17回ドレスト光子理論個別検討会)(2021/04/26)
- ある保型L関数の族の零点分布について(conference：Langlands and Harmonic Analysis 第5回)(2021/03/11)
- Low-lying zeros of symmetric power L-functions weighted by L-values(conference：Japan Europe Number Theory Exchange Seminar)(2020/12/22)
- On densities of low-lying zeros of symmetric power L-functions for Hilbert modular forms and their weighted densities by special L-values(conference：Friday Tea Time Zoom Seminar)(2020/12/11)
- 対称べきL関数のlow-lying zeroと対称2次L関数の特殊値について(conference：Colloquium Lecture, Department of Mathematics, Faculty of Science)(2020/10/21)
- Eichler-Selberg trace formulas and applications(conference：Lecture of one course, Graduate school of Science, Kobe Univeristy Department of Mathematics)(2020/10)
- Resolvent trace formulas and optimal estimates of the Kronecker-Hurwitz class numbers(conference：7th Kyoto conference on automorphic forms)(2020/06/20)
- Hecke作用素のレゾルベント跡公式とその応用(conference：東京理科大学理工学部数学科「談話会」)(2019/12/23)
- GL(2) の跡公式の一般化とL関数の特殊値への応用について(conference：第64回 代数学シンポジウム)(2019/09/03)
- Trace formulas on GL(2) weighted by automorphic forms(conference：OberSeminar Analysis und Zahlentheorie)(2019/06/11)
- On generalized trace formulas for GL(2)(conference：早稲田大学整数論研究集会)(2019/03/15)
- A cuspidal analogue of trace formula and non-vanishing central L-values for GL(2) x GL(3)(conference：33rd Automorphic Forms Workshop (Duquesne University))(2019/03/07)
- Integrality of Hecke eigenvalues for Hilbert and Siegel modular forms(conference：Number theory mini-workshop at Sophia)(2019/01/30)
- A variant of trace formula related with triple products of modular forms(conference：RIMS conference "Automorphic forms, automorphic representations and related topics")(2019/01/21)
- Jacquet-Zagier型跡公式について(conference：香川セミナー)(2018/10/21)
- L関数の中心値が非消滅であるGL(2)×GL(3)の保型形式の無限性について(conference：香川セミナー)(2018/07/07)
- Modular forms and trace formulas with applications to equidistributions of their Fourier coefficients(conference：整数論セミナー, 理化学研究所 和光地区)(2018/07/24)
- 跡公式の一般化について(conference：Langlands and Harmonic Analysis(第3回))(2018/03/14)
- Hecke作用素の量子分解(conference：量子論にまつわる数学と数論の連携探索2018)(2018/03/02)
- On analytic properties of spectral zeta functions for the quantum Rabi models(conference：The 11th Young Mathematicians Conference on Zeta Functions)(2018/02/22)
- Explicit trace formulas for symmetric square L-functions for GL(2) and some applications(conference：3rd Japanese-German Number Theory Workshop)(2017/11/20)
- Hilbert モジュラー形式に対するJacquet-Zagier型の跡公式(conference：第11 回福岡数論研究集会)(2017/08/09)
- ヒルベルトモジュラー形式に対するJacquet-Zagier型の明示的な跡公式(conference：愛媛大学代数セミナー)(2017/07/21)
- 量子ラビ模型のスペクトルゼータ関数(conference：早稲田大学整数論セミナー)(2017/06/16)
- Arthur's Endoscopic classification of automorphic representations(conference：Hodge conjecture on unitary Shimura varieties and $A_\mathfrak{q}(\lambda)$, 岡山大学)(2017/03/15)
- p進群の表現とHecke環(conference：量子論にまつわる数学と数論の連携探索)(2017/03/09)
- Existence of Hilbert cusp forms with non-vanishing L-values(conference：室蘭セミナー2017)(2017/01/12)
- Spectral zeta functions for the quantum Rabi models(conference：``Forum Math-for-Industry 2016'', Queensland University of Technology)(2016/11/23)
- ヒルベルトモジュラー形式に対する明示的な相対跡公式(conference：今野・竹居研究室セミナー, 横浜国立大学)(2016/11/08)
- Spectral zeta functions for quantum Rabi models(conference：Zeta Functions in OKINAWA 2016)(2016/10/31)
- 量子ラビ模型のスペクトルゼータ関数(conference：CREST暗号数理ミニワークショップ 「格子・光子と暗号」)(2016/09/28)
- Spectral zeta functions for the quantum Rabi models(conference：International Workshop on Ultra-Strong Light-Matter Interactions:,theory and applications to quantum information)(2016/09/21)
- 量子ラビ模型のスペクトルゼータ関数(conference：表現論がつなぐ数学2016)(2016/09/09)
- Introduction to Dirichlet L-functions(conference：CREST暗号数理ミニワークショップ ``L-functions and Cryptography'')(2016/03/24)
- On spectral zeta functions(conference：ラングランズと調和解析)(2016/03/08)
- ヒルベルトモジュラー形式に対する明示的な相対跡公式(conference：研究集会「表現論がつなぐ数学2015」)(2015/09/17)
- 導手が素数冪のDirichlet L関数の特殊値L(1, χ)の下界値について(conference：日本応用数理学会2015年度年会)(2015/09/11)
- Explicit relative trace formulas for Hilbert modular forms ,(ヒルベルトモジュラー形式に対する明示的な相対跡公式)(conference：早稲田大学整数論セミナー)(2015/06/12)
- Explicit relative trace formulas for Hilbert modular forms (ヒルベルトモジュラー形式に対する明示的な相対跡公式)(conference：九大代数学セミナー)(2015/05/15)
- Explicit relative trace formulas for Hilbert modular forms (ヒルベルトモジュラー形式に対する明示的な相対跡公式)(conference：大阪大学整数論＆保型形式セミナー)(2015/04/24)
- L値が非消滅であるHilbert尖点形式の存在(conference：金沢数論ミニ集会2014)(2014/10/14)
- L値が非消滅であるHilbert尖点形式の存在(conference：日本数学会2014年度秋季総合分科会)(2014/09/25)
- L値が非消滅であるHilbert尖点形式の存在(conference：第9 回福岡数論研究集 in 別府)(2014/09/03)
- L値が非消滅であるHilbert尖点形式の存在(conference：数論合同セミナー(京都大学))(2014/04/18)
- p-adic counterpart: L^2(GL(n;E)/GL(n;F))(conference：Structure of L^2(H\backslash G) -- local Galois case--)(2014/03/29)
- 相対跡公式とHilbertモジュラー形式のL関数の劣凸評価(conference：日本数学会2014年度年会)(2014/03/18)
- Relative trace formulas and subconvexity estimates of L-functions for Hilbert modular forms(conference：第7回ゼータ若手研究集会)(2014/02/15)
- 相対跡公式とHilbertモジュラー形式のL関数の劣凸評価(conference：九州代数的整数論2014)(2014/02/07)
- Relative trace formulas and subconvexity estimates of L-functions for Hilbert modular forms(conference：RIMS Conference ``Automorphic Forms and Related Zeta Functions")(2014/01/21)
- ``A relative local trace formula for PGL(2) I'' and,``A relative local trace formula for PGL(2) II''(conference：The 16th Autumn Workshop on Number Theory, Harmonic analysis on spherical homogeneous spaces, HAKUBA 2013)(2013/11/09)
- Relative trace formulas and subconvexity estimates of L-functions for Hilbert modular forms(conference：28th Journées Arithmétiques 2013 Grenoble)(2013/07/04)
- GL(2)の保型L関数の中心値の平均の漸近的な振る舞い(conference：日本数学会2013年度年会)(2013/03/22)
- GL(2)の保型L関数の中心値の平均の漸近的な振る舞い(conference：第10回城崎新人セミナー)(2013/02/20)
- GL(2)の保型L関数の中心値の平均の漸近的な振る舞い(conference：九州大学代数的整数論研究集会(KANT))(2013/02/12)
- Asymptotic behaviors of means of central values of automorphic L-functions for GL(2)(conference：RIMS Workshop ``Automorphic Representations and Related Topics'')(2013/01/23)
- GL(2)の保型形式の正規周期(conference：日本数学会2012年度年会)(2012/03/29)
- Regularized periods of automorphic forms on GL(2)(conference：第5回ゼータ若手研究集会)(2012/02/11)
- GL(2)の保型形式の正規周期(conference：RIMS研究集会「保型形式と保型的L函数の研究」)(2012/01/20)
- GL(2)の保型形式の正規周期(conference：大阪大学整数論＆保型形式セミナー)(2011/12/16)
Others
- Integrality of eigenvalues of Hecke operators on modular forms 数理解析研究所講究録「代数的整数論とその周辺」 2269 136 2023/12
- Resolvent trace formulas of Hecke operators and optimal estimates of the Hurwitz class numbers 数理解析研究所講究録「保型表現の解析的・数論的研究」 2264 143 2023/08
- Weighted one-level density for Dirichlet L-functions 2259 102 2023/07
- On a weighted density of low-lying zeros of symmetric power L-functions Shingo Sugiyama 数理解析研究所講究録「保型形式、保型L関数とその周辺」 2230 1 2022/10
- GL(2)の跡公式の一般化とL関数の特殊値への応用について Shingo Sugiyama 第64回代数学シンポジウム報告集 113 2020/02/01
- A variant of trace formula related with triple products of modular forms Shingo Sugiyama 京都大学数理解析研究所講究録「保型形式, 保型表現とその周辺」 2136 14 2019/12
- On generalized trace formulas for GL(2) Shingo Sugiyama 2019早稲田大学整数論研究集会報告集 153 2019/11
- Hilbertモジュラー形式に対するJacquet-Zagier型の跡公式 Shingo Sugiyama 第11回福岡数論研究集会報告集 57 2018/01
- Explicit relative trace formulas for Hilbert modular forms Shingo Sugiyama 2015/03
- L値が非消滅であるHilbert尖点形式の存在 Shingo Sugiyama 第9回福岡数論研究集会報告集 63 2015/03
- 相対跡公式とHilbertモジュラー形式のL関数の劣凸評価 Shingo Sugiyama 2014年京都大学数理解析研究所講究録「保型形式および関連するゼータ関数の研究」 1934 66 2015/02
- GL(2)の保型L関数の中心値の平均の漸近的な振る舞い Shingo Sugiyama 2013年京都大学数理解析研究所講究録「保型表現とその周辺」 1871 90 2013/12
- GL(2)の保型L関数の中心値の平均の漸近的な振る舞い Shingo Sugiyama 第十回 城崎新人セミナー報告集 226 2013/07
- GL(2)の保型形式の正規周期 Shingo Sugiyama 2012年京都大学数理解析研究所講究録「保型形式と保型的L関数の研究」 1826 199 2013/03
Arts and Fieldwork
Patent
Theme to the desired joint research
○Number Theory
○Mathematical physics
○Cryptography
Grant-in-Aid for Scientific Research
○ Grant-in-Aid for Scientific Research (C)「Relations between special values of L-functions, zeros of L-functions, and random matrix theory」(2024-2028)
○「グラフの増大列に関する量子カオス現象の解析」(2022-2024)
○「保型形式の周期の非消滅定理と漸近公式の研究」(2021-2025)
○「パラメーター付き跡公式とL関数の量子確率論的研究」(2020-2023)
○「代数的保型形式の次元評価」(2020-2023)
○「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」(2019-2021)
○「ガロア型対称空間に対する明示的な相対跡公式の研究」(2018-2019)
○「相対跡公式と保型L関数の中心値の研究」(2013-2014)
Competitive research funding,Contribution
Collaborative research,Consignment study
Classes (Bachelors)
○Seminar in Mathematics(2024)
○Algebra 2B(2024)
○Algebra 2A(2024)
○Linear Algebra 1B(2024)
○Linear Algebra 1A(2024)
○Linear Spaces A(2023)
○Linear Spaces B(2023)
○Seminar in Mathematics(2023)
Classes (Graduate Schools)
○Scientific Presentation A(2024)
○Utilization of Scientific instruments A(2024)
○Methodology of Science A(2024)
○Topics in Mathematical Science a(2024)
○Topics in Mathematical Science b(2024)
○Algebra IIb(2023)
○Algebra IIa(2023)