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Researcher Information

last modified:2021/04/12

Professor Hajime Nagoya

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


Academic Background


Year & Month of Birth

Academic Society



Basic analysis

Speciality Keywords

integrble systems, conformal field theory, Painleve eauations

Research Themes



  •  Combinatorial Expressions for the Tau Functions of q-Painlevé V and III Equations Matushira Y., Nagoya H. SIGMA 15 074 2019/09
  •  Remarks on irregular conformal blocks and Painlev III and II tau functions Hajime Nagoya  proceeding of the workshop "Meeting for Study of Number theory, Hopf algebras and related topics" 2018
  •  Irregular conformal blocks and connection formulae for Painleve V functions  O. Lisovyy, H. Nagoya, J. Roussillon Journal of Mathematical Physics 59 2018
  •  CFT approach to the q-Painlevé VI equation Journal of Integrable Systems 2 1-27 2017/09/15
  •  Toward a combinatorial formula for an irregular conformal block of rank one Hajime Nagoya, Yasuhide Numata Josai Mathematical Monographs 10 2017/03

show all

  •  Symmetries of quantum Lax equations for the Painlevé equations Hajime Nagoya, Yasuhiko Yamada Annales Henri Poincaré 15 313-344 2014/02
  •  Integral formulas for quantum isomonodromic systems Hajime Nagoya Publications of the Research Institute for Mathematical Sciences 49 4 651-678 2013/12
  •  Fractional calculus of quantum Painleve systems of type A_l^(1) Hajime Nagoya Contemporary Mathematics 651 39-64 2015/10
  •  Irregular conformal blocks, with an application to the fiffth and fourth Painleve equations Hajime Nagoya Journal of Mathematical Physics 56  123505 1-24 2015/12

Conference Presentations

  • Combinatorial expressions of q-Painleve tau functions(2018/02/04)
  • The fourth and fth Painleve tau functions in terms of irregular conformal blocks(2015/01/05)
  • On irregular conformal blocks in Virasoro conformal eld theory,(2015/03/13)
  • Conformal blocks and Painleve functions(2015/08/20)


Arts and Fieldwork


Theme to the desired joint research

Grant-in-Aid for Scientific Research


Competitive research funding,Contribution

Collaborative research,Consignment study

Classes (Bachelors)

○Analysis 1B(2017)
○Analysis 1A(2017)
○Differential and Integral Calculus 1(2017)
○Linear Algebra 2(2017)
○Analysis 1B(2016)
○Freshman Seminar I(2016)
○Analysis 1A(2016)
○Linear Algebra 2(2016)
○Presentation and Debate (Freshman Seminar II)(2016)

Classes (Graduate Schools)

○Exercise A(2017)
○Theory of special functions(2017)
○Theory of special functions(2017)
○Theory of special functions(2017)
○Topics in Mathematical Science IIa(2017)
○Research Work A(2017)
○Seminar A(2017)
○Topics in Mathematical Science IIb(2017)
○Theory of special functions(2017)
○Topics in Mathematical Science IIb(2016)
○Exercise A(2016)
○Research Work A(2016)
○Seminar A(2016)
○Analysis Ia(2016)
○Theory of special functions(2016)
○Topics in Mathematical Science IIa(2016)

International Project

International Students

Lecture themes

Others (Social Activities)

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