Specialities

Basic analysis

Speciality Keywords

integrble systems, conformal field theory, Painleve eauations

Research Themes

Books

Papers

• 　Confluent primary fields in the conformal field theory　Hajime Nagoya,Juanjuan Sun　JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL　43　46　2010/11　
• 　Integral Formulas for Quantum Isomonodromic Systems　Hajime Nagoya　PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES　49　4　651　2013/12　
• 　Hypergeometric solutions to Schrodinger equations for the quantum Painleve equations　H. Nagoya　JOURNAL OF MATHEMATICAL PHYSICS　52　8　2011/08　
• 　Irregular conformal blocks and connection formulae for Painlevé V functions　O. Lisovyy,H. Nagoya,J. Roussillon　Journal of Mathematical Physics　59　2018　
• 　CFT approach to the q-Painlevé VI equation　Michio Jimbo,Hajime Nagoya,Hidetaka Sakai　Journal of Integrable Systems　2　1　2017/09　

show all

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)