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Researcher Information

last modified:2024/12/13

Professor Hajime Nagoya

Faculty, Affiliation

Faculty of Mathematics and Physics, Institute of Science and Engineering
Professor

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

Career

Year & Month of Birth

Academic Society

Award

Specialities

Basic analysis

Speciality Keywords

integrble systems, conformal field theory, Painleve eauations

Research Themes

Representation theory of Infinite dimensional algebras and tau functions of isomonodromy deformations

Books

Papers

  •  CFT approach to the q-Painlevé VI equation Michio Jimbo,Hajime Nagoya,Hidetaka Sakai Journal of Integrable Systems 2 1 2017/09 
  •  Hypergeometric solutions to Schrodinger equations for the quantum Painleve equations H. Nagoya JOURNAL OF MATHEMATICAL PHYSICS 52 8 2011/08 
  •  Irregular conformal blocks, with an application to the fifth and fourth Painleve equations Hajime Nagoya JOURNAL OF MATHEMATICAL PHYSICS 56 12 2015/12 
  •  Integral Formulas for Quantum Isomonodromic Systems Hajime Nagoya PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES 49 4 651 2013/12 
  •  Confluent primary fields in the conformal field theory Hajime Nagoya,Juanjuan Sun JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 43 46 2010/11 

show all

  •  Irregular conformal blocks and connection formulae for Painlevé V functions O. Lisovyy,H. Nagoya,J. Roussillon Journal of Mathematical Physics 59 2018 
  •  Connection problem for the generalized hypergeometric function Matsuhira Yuya, Nagoya Hajime Funkcial. Ekvac. 64 3 323-348 2021/12/15

Conference Presentations

  • On q-isomonodromic deformations and q-Nekrasov functions(2019/12/21)
  • Conformal blocks and Painleve functions(2015/08/20)

Others

Arts and Fieldwork

Patent

Theme to the desired joint research

○Analysis of black holes by conformal field theory

Grant-in-Aid for Scientific Research

○「モノドロミー保存変形のタウ関数と無限次元代数の表現論」(2022-2026) 
○「モノドロミー保存変形のタウ関数と無限次元代数の表現論」(2018-2021) 
○「不確定特異点型共形場理論とパンルヴェ方程式」(2015-2017) 
○「量子パンルヴェ系と超幾何積分」(2013-2014) 

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)

○Topics in Mathematical Science IIb(2017)
○Exercise A(2017)
○Theory of special functions(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(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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