Updated on 2024/03/27

写真a

 
YAMANA Shunsuke
 
Organization
Graduate School of Science Department of Mathematics Professor
School of Science Department of Mathematics
Title
Professor
Affiliation
Institute of Science

Position

  • Graduate School of Science Department of Mathematics 

    Professor  2023.04 - Now

  • Graduate School of Science Department of Mathematics 

    Associate Professor  2022.04 - 2023.03

  • School of Science Department of Mathematics 

    Professor  2023.04 - Now

  • School of Science Department of Mathematics 

    Associate Professor  2022.04 - 2023.03

Degree

  • Doctor (Science) ( Kyoto University )

Research Areas

  • Natural Science / Algebra

Research Interests

  • 保形表現

  • L関数

  • モジュラー形式

  • 楕円曲線

  • 岩澤理論

Research subject summary

  • One of the most important themes in modern mathematics is the study of functions, called L-functions or zeta functions. The Riemann zeta function, for instance, is the most famous L-function. It is known that the knowledge of zeros of the Riemann zeta function is crucial to unravel a rather mysterious problem: how are prime numbers distributed? Besides prime numbers, we can define L-functions for various mathematical objects, enabling us to deduce their deep properties from analysis of the L-functions. Since Shunsuke was fascinated by L-functions while writing his thesis, he has been investigating L-functions mainly by analytic methods, but the study of L-functions involves a wide range of fields. He will try to find a new aspect of the theory by studying L-functions also from algebraic, geometric or p-adic viewpoints.

Professional Memberships

  • 日本数学会

      Domestic

Awards

  • 南部陽一郎記念若手奨励賞

    2019.11   大阪市立大学   L関数とテータ対応

  • 日本数学会賞建部賢弘特別賞

    2015.09  

Job Career (off-campus)

  • 京都大学   助教

    2015.04 - 2019.03

  • 九州大学   助教

    2012.04 - 2015.03

Education

  • Kyoto University   Doctor's Course   Graduated/Completed

    2005.04 - 2009.03

  • Kyoto University     Graduated/Completed

    2001.04 - 2004.03

Papers

  • Four-variable p-adic triple product L-functions and the trivial zero conjecture Reviewed International coauthorship

    Mathematische Annalen   2024( ISSN:00255831

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    Publishing type:Research paper (scientific journal)   International / domestic magazine:International journal  

    DOI: 10.1007/s00208-023-02768-7

  • Bessel periods and anticyclotomic p-adic spinor L-functions Reviewed International coauthorship

    Ming-Lun Hsieh, Shunsuke Yamana

    Transactions of the American Mathematical Society   2024

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    Publishing type:Research paper (scientific journal)   International / domestic magazine:International journal  

  • Derivatives of Eisenstein series of weight 2 and intersections of modular correspondences International coauthorship

    Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg   92 ( 1 )   27 - 52   2022.04( ISSN:00255858

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    Authorship:Corresponding author   Publishing type:Research paper (scientific journal)   International / domestic magazine:International journal  

    DOI: 10.1007/s12188-022-00256-4

  • Base change and triple product L-series Reviewed International coauthorship

    Ming-Lun Hsieh, Shunsuke Yamana

    Representation Theory   2021

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    Authorship:Corresponding author   Publishing type:Research paper (scientific journal)   Kind of work:Joint Work  

  • RESTRICTION OF EISENSTEIN SERIES AND STARK-HEEGNER POINTS Invited Reviewed International coauthorship

    Ming-Lun Hsieh, Shunsuke Yamana

    Journal de Théorie des Nombres de Bordeaux   2021

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    Publishing type:Research paper (international conference proceedings)   Kind of work:Joint Work  

  • ON THE LIFTING OF HILBERT CUSP FORMS TO HILBERT-HERMITIAN CUSP FORMS Reviewed

    Yamana Shunsuke

    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY   373 ( 8 )   5395 - 5438   2020.08( ISSN:0002-9947

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    Authorship:Lead author   Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

    DOI: 10.1090/tran/8096

  • On the lifting of Hilbert cusp forms to Hilbert-Siegel cusp forms Reviewed

    Tamotsu Ikeda, Shunsuke Yamana

    Annales scientifiques de l'École normale supérieure   53 ( 5 )   1121 - 1181   2020

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    Authorship:Lead author   Publishing type:Research paper (scientific journal)   Kind of work:Joint Work  

  • Degenerate principal series and Langlands classification Invited Reviewed

    Shunsuke Yamana

    Contemporary Mathematics   732 ( 1 )   275 - 286   2019.06

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    Authorship:Lead author   Publishing type:Research paper (international conference proceedings)   Kind of work:Single Work  

  • Periods of automorphic forms: the case of (U(n+1)×U(n),U(n)) Reviewed

    「Atsushi Ichino」「Shunsuke Yamana」

    Journal für die Reine und Angewandte Mathematik   746   1 - 38   2019

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    Publishing type:Research paper (scientific journal)   Kind of work:Joint Work  

  • Periods of automorphic forms: the trilinear case Reviewed

    Shunsuke Yamana

    Journal de l'Institut de Mathématiques de Jussieu   17 ( 1 )   59 - 74   2018

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    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

  • Siegel series for skew Hermitian forms over quaternion algebras Reviewed

    Shunsuke Yamana

    Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg   87 ( 1 )   43 - 59   2017

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    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

  • Twisted symmetric square L-functions for GL(n) and invariant trilinear forms Reviewed International coauthorship

    「Eyal Kaplan」「Shunsuke Yamana」

    Mathematische Zeitschrift   285 ( 3-4 )   739 - 793   2017

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    Publishing type:Research paper (scientific journal)   Kind of work:Joint Work  

  • Local symmetric square L-factors of representations of general linear groups Reviewed

    Shunsuke Yamana

    Pacific Journal of Mathematics   286 ( 1 )   215 - 256   2017

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    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

  • Periods of automorphic forms: the case of (GL(n+1)×GL(n),GL(n)) Reviewed

    「Atsushi Ichino」「Shunsuke Yamana」

    Compositio Mathematica   151 ( 4 )   665 - 712   2015

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    Publishing type:Research paper (scientific journal)   Kind of work:Joint Work  

  • Periods of residual automorphic forms Reviewed

    Shunsuke Yamana

    Journal of Functional Analysis   268 ( 5 )   1078 - 1104   2015

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    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

  • On poles of the exterior cube L-functions for GL(6) Reviewed

    Shunsuke Yamana

    Mathematische Zeitschrift   279 ( 1-2 )   267 - 270   2015

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    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

  • Symplectic periods of the continuous spectrum of GL(2n) Reviewed

    Shunsuke Yamana

    Université de Grenoble. Annales de l'Institut Fourier   64 ( 4 )   1561 - 1580   2014

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    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

  • L-functions and theta correspondence for classical groups Reviewed

    Shunsuke Yamana

    Inventiones Mathematicae   196 ( 3 )   651 - 732   2014

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    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

  • The Siegel-Weil formula for unitary groups Reviewed

    Shunsuke Yamana

    Pacific Journal of Mathematics   264 ( 1 )   235 - 256   2013

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    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

  • An explicit formula for the Fourier coefficients of Eisenstein series attached to lattices Reviewed

    Shunsuke Yamana

    Ramanujan Journal. An International Journal Devoted to the Areas of Mathematics Influenced by Ramanujan   31 ( 3 )   315 - 352   2013

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    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

  • On the Siegel-Weil formula for quaternionic unitary groups Reviewed

    Shusnuke Yamana

    American Journal of Mathematics   135 ( 5 )   1383 - 1432   2013

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    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

  • Degenerate principal series representations for quaternionic unitary groups Reviewed

    Yamana Shunsuke

    ISRAEL JOURNAL OF MATHEMATICS   185 ( 1 )   77 - 124   2011.10( ISSN:0021-2172

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    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

    DOI: 10.1007/s11856-011-0102-9

  • On the Siegel-Weil formula: The case of singular forms Reviewed

    Yamana Shunsuke

    COMPOSITIO MATHEMATICA   147 ( 4 )   1003 - 1021   2011.07( ISSN:0010-437X

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    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

    DOI: 10.1112/S0010437X11005379

  • On the lifting of elliptic cusp forms to cusp forms on quaternionic unitary groups Reviewed

    Yamana Shunsuke

    JOURNAL OF NUMBER THEORY   130 ( 11 )   2480 - 2527   2010.11( ISSN:0022-314X

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    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

    DOI: 10.1016/j.jnt.2010.03.020

  • Maass relations in higher genus. Reviewed

    Shunsuke Yamana

    Mathematische Zeitschrift   265 ( 2 )   263 - 276   2010

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    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

  • On newforms for Kohnen plus spaces Reviewed

    「Masaru Ueda」「Shunsuke Yamana」

    Mathematische Zeitschrift   264 ( 1 )   1 - 13   2010

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    Publishing type:Research paper (scientific journal)   Kind of work:Joint Work  

  • Determination of holomorphic modular forms by primitive Fourier coefficients Reviewed

    Shunsuke Yamana

    Mathematische Annalen   344   853 - 862   2009

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    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

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Presentations

  • p-adic L-functions for U(3)×U(2) and U(2,1)×U(1,1)

    Shunsuke Yamana

    Number Theory Lunch Seminar  2024.02 

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    Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Venue:Max Planck Institute for Mathematics  

  • p-adic L-functions for U(3)×U(2) and U(2,1)×U(1,1)

    Shunsuke Yamana

    2023.12 

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    Presentation type:Public lecture, seminar, tutorial, course, or other speech  

  • p-adic L-functions for U(3)×U(2) and U(2,1)×U(1,1)

    Shunsuke Yamana

    2023.11 

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    Presentation type:Public lecture, seminar, tutorial, course, or other speech  

  • A p-adic L-functions for U(2,1)xU(1,1)

    Shunsuke Yamana

    NCTS Number Theory Seminar  2023.03 

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    Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Venue:National Taiwan University  

  • A p-adic L-functions for U(2,1)xU(1,1)

    Algebraic Geometry and Representation Theory Seminar  2023.02 

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    Presentation type:Public lecture, seminar, tutorial, course, or other speech  

  • A p-adic L-functions for U(3)xU(2) Domestic conference

    RIMS conference「Algebraic Number Theory and Related Topics 2022」  2022.12 

  • A p-adic L-functions for U(3)xU(2) Invited International conference

    Shunsuke Yamana

    Pacific Rim Mathematical Association Congress 2022  2022.11 

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    Presentation type:Oral presentation (general)  

  • A Siegel-Weil formula for U(2,1)

    Shunsuke Yamana

    2022.08  Shunsuke Yamana

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    Presentation type:Public lecture, seminar, tutorial, course, or other speech  

  • Exceptional zeros of twisted triple product p-adic L-functions Domestic conference

    Shunsuke Yamana

    2021.12 

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    Presentation type:Oral presentation (general)  

  • Exceptional zeros of twisted triple product p-adic L-functions International conference

    Shunsuke Yamana

    Algebraic Geometry and Representation Theory Seminar  2021.11 

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    Presentation type:Oral presentation (general)  

    Venue:The Weizmann Institute of Science(オンライン)  

  • Exceptional zeros of twisted triple product p-adic L-functions International conference

    Shunsuke Yamana

    RT/NT seminar  2021.09 

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    Presentation type:Oral presentation (general)  

    Venue:National University of Singapore(オンライン)  

  • Base change and triple product L-series Invited International conference

    Shunsuke Yamana

    PRCM 2020  2020.08 

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    Presentation type:Oral presentation (general)  

  • On central derivatives of triple product p-adic L-functions Invited International conference

    Shunsuke Yaman

    Modular Forms  2019.12 

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    Presentation type:Oral presentation (general)  

    Venue:オーバーヴォルファッハ数学研究所  

  • p進L関数の例外零点 Domestic conference

    山名俊介

    RIMS共同研究(公開型)「代数的整数論とその周辺」  2019.12 

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    Presentation type:Oral presentation (general)  

  • A twisted Ichino formula Domestic conference

    Shunsuke Yamana

    SOAR Seminar(南大阪保型表現セミナー)  2019.11 

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    Presentation type:Oral presentation (general)  

  • Seesaw dual pairs and theta correspondence I, II Invited International conference

    Shunsuke Yamana

    CMC special weeks on number theory  2019.11 

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    Presentation type:Oral presentation (general)  

    Venue:KIAS  

  • On central derivatives of triple product p-adic L-functions Invited International conference

    Shunsuke Yamana

    Iwasawa2019  2019.06 

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    Presentation type:Oral presentation (general)  

    Venue:University of Bordeaux  

  • On exceptional zeros of p-adic L-functions Invited Domestic conference

    Shunsuke Yamana

    6th Kyoto conference on automorphic forms  2019.06 

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    Presentation type:Oral presentation (general)  

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Grant-in-Aid for Scientific Research

  • 保型形式の周期とp進L関数

    Grant-in-Aid for Scientific Research(C)  2023.04

  • 多変数モジュラー形式の数論的, 幾何学的及びp進的応用

    Grant-in-Aid for Scientific Research(C)  2018.04

  • Special values of automorphic L-functions and periods

    Grant-in-Aid for Young Scientists(B)  2014.04

  • Liftings of automorphic representations and L-functions

    Grant-in-Aid for Research Activity Start-up  2012.08

  • 保型表現とL函数の研究

    Grant-in-Aid for JSPS Fellows  2010

  • 保型形式のリフティング

    Grant-in-Aid for JSPS Fellows  2008

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Acceptance of Researcher

  • 2023  Number of researchers:2

  • 2022  Number of researchers:2

Charge of on-campus class subject

  • 応用数学A

    2022   Weekly class   Undergraduate

  • 微積分1A

    2022   Weekly class   Undergraduate

  • 基礎数学A

    2022   Weekly class   Undergraduate

  • 代数学IV演習

    2022   Weekly class   Undergraduate

  • 代数学IV

    2022   Weekly class   Undergraduate

  • 数理構造論3

    2021     Graduate school

  • 数学概論I

    2021     Undergraduate

  • 代数学IV演習

    2021     Undergraduate

  • 代数学IV

    2021     Undergraduate

  • 線形代数II

    2021     Undergraduate

  • 基礎数学B

    2021     Undergraduate

  • 基礎数学A

    2021     Undergraduate

  • 線形代数II

    2020     Undergraduate

  • 代数学特論IV

    2020     Graduate school

  • 代数学講義IV

    2020     Undergraduate

  • 代数学I演習

    2020     Undergraduate

  • 代数学I

    2020     Undergraduate

  • 解析II

    2019     Undergraduate

  • 解析IV

    2019     Undergraduate

  • 線形代数I

    2019     Undergraduate

  • 解析I

    2019     Undergraduate

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Charge of off-campus class subject

  • 幾何学I演習

    Institution:Kyushu University

  • 微分積分学B演習

    Institution:Kyoto University

  • 数学概論IV演習

    Institution:Kyushu University

  • 数学概論II演習

    Institution:Kyushu University

  • 数学概論I演習

    Institution:Kyushu University

  • 代数学III演習

    Institution:Kyushu University

  • 代数学I演習

    Institution:Kyushu University

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Number of instructed thesis, researches

  • 2024

    Number of instructed the graduation thesis:

    [Number of instructed the Master's Program] (previous term):[Number of instructed the Master's Program] (letter term):0

    [Number of master's thesis reviews] (chief):[Number of master's thesis reviews] (vice-chief):0

    [Number of doctoral thesis reviews] (chief):[Number of doctoral thesis reviews] (vice-chief):0

  • 2023

    Number of instructed the graduation thesis:

  • 2022

    Number of instructed the graduation thesis:

    [Number of instructed the Master's Program] (previous term):

    [Number of master's thesis reviews] (chief):