Updated on 2022/03/29

写真a

 
YANAGIDA Shintaro
 
Organization
Graduate School of Mathematics Division of Mathematics Advanced Topology Associate professor
Graduate School
Graduate School of Mathematics
Undergraduate School
School of Science Department of Mathematics
Title
Associate professor
Contact information
メールアドレス

Degree 1

  1. 博士(理学) ( 2012.3   神戸大学 ) 

Research Interests 3

  1. Algebraic Geometry

  2. Representation Theory

  3. Mathematical Physics

Research Areas 1

  1. Natural Science / Algebra

Research History 3

  1. Osaka City University   Advanced Mathematical Institute   Visiting Associate Professor

    2016.4 - 2017.3

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    Country:Japan

  2. Kyoto Unviersity   Research Institute of Mathematical Sciences   Assistant Professor

    2012.7 - 2016.3

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    Country:Japan

  3. 日本学術振興会特別研究員PD

    2012.4 - 3013.6

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    Country:Japan

Education 1

  1. Kobe University   Graduate School, Division of Natural Science

    2007.4 - 2012.3

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    Country: Japan

Professional Memberships 1

  1. 日本数学会

 

Papers 14

  1. Derived gluing construction of chiral algebras

    Yanagida Shintarou

    LETTERS IN MATHEMATICAL PHYSICS   Vol. 111 ( 2 )   2021.4

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  2. A study of symmetric functions via derived Hall algebra Reviewed International journal

    Shimoji Ryosuke, Yanagida Shintarou

    Communications in Algebra   Vol. 49 ( 3 ) page: 979 - 1005   2021

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    Language:Japanese   Publishing type:Research paper (scientific journal)   Publisher:Taylor and Francis  

    We construct an infinite-dimensional Heisenberg algebra in the derived Hall algebra for the category of nilpotent representations of Jordan quiver. Using this Heisenberg algebra, we reconstruct the theory of symmetric functions, focusing on Hall-Littlewood symmetric functions and various operators acting on them.

    DOI: 10.1080/00927872.2020.1825723

    Web of Science

    Other Link: https://arxiv.org/abs/1812.06033

  3. Boson-fermion correspondence from factorization spaces

    Yanagida Shintarou

    JOURNAL OF GEOMETRY AND PHYSICS   Vol. 124   page: 55-63   2018.1

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1016/j.geomphys.2017.10.013

    Web of Science

  4. The wall-crossing behavior for Bridgeland's stability conditions on abelian and K3 surfaces Reviewed

    Hroki Minamide, Shintarou Yanagida, Kota Yoshioka

    Journal fur die reine und angewandte Mathematik   Vol. 735   page: 1-107   2018

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    Language:English   Publishing type:Research paper (scientific journal)  

  5. Factorization spaces and moduli spaces over curves Reviewed

    Shintarou Yanagida

      Vol. 10   page: 97-128   2017.4

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    Authorship:Lead author   Language:English   Publishing type:Research paper (scientific journal)  

  6. A note on Bridgeland's Hall algebra of two-periodic complexes Reviewed

    Shintarou Yanagida

    Mathematische Zeitschrift   Vol. 282 ( 3 ) page: 973-991   2016.4

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    Authorship:Lead author   Language:English   Publishing type:Research paper (scientific journal)  

    DOI: doi:10.1007/s00209-015-1573-x

  7. Whittaker vector of deformed Virasoro algebra and Macdonald symmetric functions Reviewed

    Shintarou Yanagida

    Letters in Mathematical Physics   Vol. 106 ( 3 ) page: 395-431   2016.3

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    Authorship:Lead author   Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1007/s11005-016-0821-2

    arXiv

  8. Some Moduli Spaces of Bridgeland’s Stability Conditions Reviewed

    Hiroki Minamide, Shintarou Yanagida, and Kōta Yoshioka

    Int Math Res Notices   Vol. 2014 ( 19 ) page: 5264-5327   2014.10

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    Language:English   Publishing type:Research paper (scientific journal)  

  9. Bridgeland's stabilities on abelian surfaces Reviewed

    S. Yanagida, K. Yoshioka

    Mathematische Zeitschrift   Vol. 276 ( 1-2 ) page: 571-610   2014.2

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1007/s00209-013-1214-1

    arXiv

  10. Semi-homogeneous sheaves, Fourier-Mukai transforms and moduli of stable sheaves on abelian surfaces Reviewed

    S. Yanagida, K. Yoshioka

    Journal fur die Reine und Angewandte Mathematik   Vol. 684   page: 31-86   2013.11

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1515/crelle-2011-0010

    arXiv

  11. Norm of Logarithmic Primary of Virasoro Algebra Reviewed

    Shintarou Yanagida

    Letters in Mathematical Physics   Vol. 98 ( 2 ) page: 133-156   2011.11

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    Authorship:Lead author   Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1007/s11005-011-0502-0

    arXiv

  12. Whittaker vectors of the Virasoro algebra in terms of Jack symmetric polynomial Reviewed

    Shintarou Yanagida

    Journal of Algebra   Vol. 333 ( 1 ) page: 273-294   2011.5

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    Authorship:Lead author   Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1016/j.jalgebra.2011.02.039

    arXiv

  13. Five-dimensional SU(2) AGT conjecture and recursive formula of deformed Gaiotto state Reviewed

    Shintarou Yanagida

    Journal of Mathematical Physics   Vol. 51 ( 12 ) page: -   2010.12

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1063/1.3505826

    arXiv

  14. A commutative algebra on degenerate CP1 and Macdonald polynomials Reviewed

    B. Feigin, K. Hashizume, A. Hoshino, J. Shiraishi, S. Yanagida

    Journal of Mathematical Physics   Vol. 50 ( 9 ) page: -   2009.9

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1063/1.3192773

    arXiv

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MISC 2

  1. 幾何学的導来Hall代数 Invited

    柳田伸太郎

    2020年度代数学シンポジウム報告集     page: 237 - 254   2021.1

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    Authorship:Corresponding author   Language:Japanese   Publishing type:Research paper, summary (national, other academic conference)  

  2. Derived gluing construction of chiral algebras

    Shintarou Yanagida

        2020.4

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    Authorship:Corresponding author   Language:English   Publishing type:Internal/External technical report, pre-print, etc.  

Presentations 7

  1. Geometric derived Hall algebra 3 Invited

    Seminar on Geometry and related topics  2021.4.8 

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    Event date: 2021.4

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

  2. Geometric derived Hall algebra 2 Invited

    Seminar on Geometry and related topics  2021.3.30 

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    Event date: 2021.3

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

  3. Geometric derived Hall algebra 1 Invited

    Seminar on Geometry and related topics  2021.3.23 

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    Event date: 2021.3

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

  4. Geometric derived Hall algebra II

    2021.1.18 

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    Event date: 2021.1

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

    Country:Japan  

  5. Geometric derived Hall algebra I Invited

    2021.1.4 

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    Event date: 2021.1

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

    Country:Japan  

  6. 非定常Ruijsenaars関数と量子Dell系に関する注釈

    柳田伸太郎

    2020.11.24 

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    Event date: 2020.11

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

    Venue:名古屋大学(オンライン)   Country:Japan  

  7. Derived gluing of chiral algebras Invited

    2020.6.11 

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    Event date: 2020.6

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

    Country:Japan  

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KAKENHI (Grants-in-Aid for Scientific Research) 3

  1. Quantum algebras and moduli theory

    Grant number:19K03399  2019.4 - 2024.3

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

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    Authorship:Principal investigator 

    Grant amount:\4550000 ( Direct Cost: \3500000 、 Indirect Cost:\1050000 )

  2. Quantum symmetry of moduli spaces

    Grant number:16K17570  2016.4 - 2019.3

    Yanagida Shintaro

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    Authorship:Principal investigator 

    Grant amount:\2990000 ( Direct Cost: \2300000 、 Indirect Cost:\690000 )

    The theory of vertex algebras is an algebraic formulation of the two-dimensional
    conformal field theory. Using the theory of factorization spaces, which is aa geometric reformulation of the theory of vertex algebras, we gave a geometric reproof of the boson-fermion correspondence.
    We also studied various versions of Ringel-Hall algebras, which is defined by counting short exact sequences in a given abelian category. We realized Turaev's skein algebra by the elliptic Hall algebra over the field F1 with one element. We also studied the classical derived Hall algebra, which is the derived Hall algebra for the differential graded category of complexes of nilpotent representations of the Jordan quiver.

  3. モジュライ空間と量子代数

    2013.4 - 2016.3

    科学研究費補助金  若手研究(B)

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    Authorship:Principal investigator