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Researcher Information

last modified:2019/04/10

Associate Professor NAGANO, Atsuhira

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
School of Mathematics and Physics, College of Science and Engineering

Laboratory

236, Natural Science and Technology Hall 5 (C4), Kakuma

Academic Background

【Degree】
PhD

Career

Kanazawa University Institute of Science and Engineering Associate Professor(2018/11-)
The University of Tokyo Graduate school of Mathematical Sciences JSPS Fellow (PD)(2017/04-2018/10)
King's College London (UK) Department of Matematics Visiting Research Associate(2016/04-2017/03)
Waseda University Department of Mathematics Research Associate(2013/09-2016/03)
Waseda University Department of Mathematics Research Assistant(2013/04-2013/09)
Waseda University Department of Mathematics JSPS Fellow (DC2)(2011/04-2013/03)

Year & Month of Birth

Academic Society

The Mathematical Society of Japan

Award

○MEXT LEADER(2018/11)
○The Sumitomo Foundation Grant for Basic Science Research Project(2015/11)

Specialities

Algebra

Speciality Keywords

Period mappings, K3 surfaces, Abelian varieties, Hypergeometric equations, Automorphic functions

Research Themes

Construction of automorphic functions via period mappings or hypergeometric functions and its application to number theory

Books

Papers

  •  Inverse period mappings of K3 surfaces and a construction of modular forms for a lattice with the Kneser conditions Atsuhira Nagano arXiv:1903.01282 2019
  •  One visualization of Shimura's complex multiplication theorem via hypergeometric modular functions Hironori Shiga and Atsuhira Nagano RIMS Kokyuroku Bessatsu 2019
  •  Icosahedral invariants and a construction of class fields via periods of K3 surfaces Atsuhira Nagano The Ramanujan Journal  46 1 201-227 2018
  •  On rings of differential operators derived from automorphic forms Atsuhira Nagano Complex Analysis and Operator Theory 12 377-414 2018
  •  Icosahedral invariants and Shimura curves Atsuhira Nagano Journal de Théorie des Nombres de Bordeaux  29 2 603-635 2017

show all

  •  To the Hilbert class field from the hypergeometric modular function Atsuhira Nagano and Hironori Shiga Journal of Number Theory 165 408-430 2016
  •  Double integrals on a weighted projective plane and the Hilbert modular functions for Q(√5) Atsuhira Nagano Acta Arithmetica 167 4 327-345 2015
  •  Modular map for the family of abelian surfaces via elliptic K3 surfaces Atsuhira Nagano and Hironori Shiga Mathematische Nachrichten  288 1 89-114 2015
  •  A theta expression of the Hilbert modular functions for √5 via periods of K3 surfaces Atsuhira Nagano Kyoto Journal of Mathematics 53 4 815-843 2013
  •  Period differential equations for the families of K3 surfaces with two parameters derived from the reflexive polytopes Atsuhira Nagano Kyushu Journal of Mathematics 66 1 193-244 2012

Conference Presentations

  • Introduction of elliptic curves and its generalizations(conference:Kyoto University International Forum on Advanced Future Studies)(2018/10)
  • Algebraic spectral curves from the viewpoint of automorphic forms(conference:International Conference on Applied Physics and Mathematics)(2018/10)
  • Analogues of Kronecker’s Jugendtraum from the viewpoint of toric K3 hypersurfaces(conference:Conference on Arithmetic and Algebraic Geometry)(2018/01)
  • Differential equations concerned with mirror symmetry of toric K3 hypersurfaces with arithmetic properties(conference:Conference ``Differential Geometry and Differential Equations: the influence of Mirror Symmetry and Physics'')(2017/12)
  • A construction of class fields via periods of toric K3 hypersurfaces(conference:Journées Arithmétiques (France))(2017/07)

show all

  • Toric K3 hypersurfaces and a Shimura variety(conference:OCAMI-KOBE-WASEDA Joint International Workshop on Differential Geometry and Integrable Systems )(2017/03)
  • K3 surfaces and a construction of a Shimura variety(conference:London Number Theory Seminar (UK))(2017/02)
  • Periods of toric K3 hypersurfaces and applications to number theory(conference:UK-Japan Winter School "Singularities, Symmetries and Submanifolds" (UK) )(2016/12)
  • Periods of toric K3 hypersurfaces and Hilbert modular surfaces(conference:KCL / UCL Geometry Seminar (UK) )(2016/09)
  • K3 surfaces, periods and reflexive polytopes(conference:Heilbronn Number Theory (UK))(2016/09)
  • The canonical model of a Shimura variety and periods of K3 surfaces(conference:Number Theory Seminar, University of Sheffield (UK) )(2016/09)
  • Modular functions coming from elliptic curves and K3 surfaces(conference:Autumn Workshop on Number Theory)(2015/11)
  • Hilbert modular functions via K3 surfaces and applications in algebraic number theory(conference:Autumn Workshop on Number Theory)(2015/11)
  • Hilbert modular functions via K3 surfaces and applications in number theory(conference:Workshop at Tsinghua Sanya International Mathematics Forum, Computational Aspects of Algebraic Geometry, Automorphic Forms, and Number Theory (China))(2015/08)
  • Modular functions via K3 surfaces and an application in number theory (conference:Joint Workshop:Geometry and Analysis at Noda)(2015/05)
  • Icosahedral invariants and Shimura curves via K3 surfaces(conference:Young Mathematicians Conference on Zeta Functions )(2013/02)
  • Hilbert modular functions via K3 surfaces II(conference:Elliptic genera, modular forms and applications in geometry)(2013/02)
  • Hilbert modular functions via K3 surfaces I (conference:Elliptic genera, modular forms and applications in geometry)(2013/02)
  • Hilbert modular functions via the period mapping for K3 surfaces(conference:RIMS Conference ``Automorphic Representations and Related Topics")(2013/01)
  • Period differential equations for families of K3 surfaces derived from some reflexive polytopes(conference:RIMS Conference ``Microlocal Analysis and Related Topics")(2009/10)

Arts and Fieldwork

Patent

Theme to the desired joint research

Grant-in-Aid for Scientific Research

○JSPS Grant-in-Aid for Scientific Research「K3曲面の周期による新しい保型形式の構成」(2018-2021) 
○JSPS Grant-in-Aid for Scientific Research「K3曲面の周期写像と微分方程式による類体の構成」(2017-2019) 
○JSPS Grant-in-Aid for Scientific Research「K3曲面の周期とそれに関連する特殊関数及び微分方程式の研究」(2013-2014) 

Classes (Bachelors)

○Discrete Mathematics a(2019)
○Discrete Mathematics b(2019)
○Number Theory for Beginners (Hosei Univ.)(2018)
○Linear Algebra (Waseda Univ.)(2015)
○General Topology (Waseda Univ.)(2015)
○Calculus (Waseda Univ.)(2014)

Classes (Graduate Schools)

○Basics of Discrete Mathematics a(2019)
○Basics of Discrete Mathematics b(2019)
○Topics in Computational Science a(2019)
○Topics in Computational Science b(2019)

International Project

○JSPS Program for Advancing Strategic International Networks to Accelerate the Circulation of Talented Researchers King's College LondonUnited Kingdom(201604-201703)

International Students

Lecture themes

Others (Social Activities)

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