Researcher Database

NameNAKAMURA Kentarou
DepartmentDepartment of Mathematical Sciences
Job TitleAssociate Professor Degree Obtained
E-mail
Homepage

Detailed Information

Research Field/Keywords for Research Field

  • number theory

Education

  • 2003/03, Graduated
  • 2005/03, Master Course, Completed
  • 2008/03, Doctor Course, Completed

Employment Experience

  • 2008/04 - 2009/03
  • 2008/04 - 2010/03 Part-time Lecturer
  • 2009/04 - 2009/06
  • 2009/07 - 2011/10
  • 2011/11 - 2015/12
  • 2016/01 -  *  Associate Professor, Mathematics, Graduate School of Science and Engineering, Saga University

Field of Specialization

  • Algebra

Research Topics and Results

Original Articles

  • Local epsilon isomorphisms for rank two p-adic representations of Gal(¥bar{Q}_p/Q_p) and a functional equation of Kato's Euler system; 2017/05
    ANNOUNCEMENT INFO.; Cambridge Journal of Math, vol 5 (2017) No 3, 281-368.
    AUTHOR; Kentaro Nakamura
  • A generalization of Kato's local epsilon conjecture for (φ, Γ)-modules over the Robba ring; 2017
    ANNOUNCEMENT INFO.; Algebra & Number Theory 11-2 (2017), 319-404.
    AUTHOR; Kentaro Nakamura
  • Zariski density of crystalline representations for any p-adic field; 2014
    ANNOUNCEMENT INFO.; J.Math. Sci. Univ. Tokyo. 21 (2014), 79-127.
    AUTHOR; Kentaro Nakamura
  • Iwasawa theory of de Rham (φ, Γ)-modules over the Robba ring; 2014
    ANNOUNCEMENT INFO.; J. Inst. Math. Jussieu 13 Issue 01 (5) (2014), 65-118.
    AUTHOR; Kentaro Nakamura
  • Deformations of trianguline B-pairs and Zariski density of two dimensional crystalline representations; 2013
    ANNOUNCEMENT INFO.; J.Math. Sci. Univ. Tokyo 20 (2013), 461-568.
    AUTHOR; Kentaro Nakamura
  • Classification of two dimensional split trianguline representations of p-adic fields; 2009
    ANNOUNCEMENT INFO.; Compositio Math. 145 (2009), 865-914.
    AUTHOR; Kentaro Nakamura

Material, Commentary, Editorials, Research Report, A Comprehensive Journal Articles

  • The local and global ε-conjectures for the rank two case; 2016/12
    ANNOUNCEMENT INFO.; RIMS Kokyuroku Bessatsu Algebraic Number Theory and Related Topics 2014
    AUTHOR; Kentaro Nakamura
  • The p-adic local Langlands correspondence for GL2(Q_p); 2015
    ANNOUNCEMENT INFO.; RIMS Kokyuroku Bessatsu: Algebraic Number Theory and Related Topics 2013.
    AUTHOR; Kentaro Nakamura
  • Iwasawa theory of de Rham (φ, Γ) -modules over the Robba ring; 2013
    ANNOUNCEMENT INFO.; RIMS Kokyuroku Bessatsu B44: Algebraic Number Theory and Related Topics 2011 (2013), 115-139.
    AUTHOR; Kentaro Nakamura
  • Zariski density of two dimensional crystalline representations; 2011
    ANNOUNCEMENT INFO.; RIMS Kokyuroku Bessatsu B25: Algebraic Number Theory and Related Topics 2009 (2011), 161-184.
    AUTHOR; Kentaro Nakamura

General Lectures

  • J. Bellaiche and G. Chenevier, "Families of Galois representations and Selmer groups" の概説; 2016/08
    ANNOUNCEMENT INFO.; 
    AUTHOR; 
  • 階数2の場合の局所及び大域イプシロン予想について; 2016/02
    ANNOUNCEMENT INFO.; 
    AUTHOR; 
  • A construction of local epsilon isomorphisms using Colmez`s multiplicative convolution; 2016/02
    ANNOUNCEMENT INFO.; 
    AUTHOR; Kentaro Nakamura
  • Local and global epsilon conjectures for the rank two case; 2016/02
    ANNOUNCEMENT INFO.; 
    AUTHOR; Kentaro Nakamura
  • p進保型形式と志村多様体; 2015/08
    ANNOUNCEMENT INFO.; 
    AUTHOR; Kentaro Nakamura
  • 誘導表現と Jacquet 加群; 2013/08
    ANNOUNCEMENT INFO.; 
    AUTHOR; Kentaro Nakamura
  • p 可除群と Fargues-Fontaine 曲線 1, 2; 2013/05
    ANNOUNCEMENT INFO.; 
    AUTHOR; Kentaro Nakamura
  • Iwasawa theory of de Rham (φ, Γ)-modules over the Robba ring; 2013/01
    ANNOUNCEMENT INFO.; KIAS number theory seminar, 2013 年 1 月, KIAS (Korea).
    AUTHOR; Kentaro Nakamura
  • A generalization of Kato's local epsilon conjecture for (φ, Γ)-modules over the Robba ring; 2012/12
    ANNOUNCEMENT INFO.; 
    AUTHOR; Kentaro Nakamura
  • Iwasawa cohomology and Bloch-Kato exponential map for B-pairs,; 2011/10
    ANNOUNCEMENT INFO.; 
    AUTHOR; Kentaro Nakamura
  • Zariski density of crystalline representations for any p-adic field; 2011/04
    ANNOUNCEMENT INFO.; 
    AUTHOR; Kentaro Nakamura
  • Zariski density of crystalline representations; 2011/03
    ANNOUNCEMENT INFO.; 
    AUTHOR; Kentaro Nakamura
  • GL2(Q_p) の p進局所ラングランズ対応について(概説講演); 2011/02
    ANNOUNCEMENT INFO.; 
    AUTHOR; Kentaro Nakamura
  • Trianguline 表現と二次元クリスタリン表現のザリスキー稠密性について; 2010/01
    ANNOUNCEMENT INFO.; 
    AUTHOR; Kentaro Nakamura
  • Trianguline 表現の分類と Zariski 稠密性について; 2009/09
    ANNOUNCEMENT INFO.; 
    AUTHOR; Kentaro Nakamura
  • p進表現入門; 2009/08
    ANNOUNCEMENT INFO.; 
    AUTHOR; Kentaro Nakamura
  • Zariski density of two dimensional trianguline representations of p-adic fields; 2009/06
    ANNOUNCEMENT INFO.; 
    AUTHOR; Kentaro Nakamura
  • Zariski density of two dimensional trianguline representations of p-adic fields; 2009/06
    ANNOUNCEMENT INFO.; 
    AUTHOR; Kentaro Nakamura
  • Classification of two dimensional split trianguline representations of p-adic fields; 2008/06
    ANNOUNCEMENT INFO.; 
    AUTHOR; Kentaro Nakamura
  • Classification of two dimensional split trianguline representations of p-adic fields; 2008/06
    ANNOUNCEMENT INFO.; 
    AUTHOR; Kentaro Nakamura
  • Classification of two dimensional trianguline representations of p-adic fields; 2007/12
    ANNOUNCEMENT INFO.; 
    AUTHOR; Kentaro Nakamura
  • Geometric construction of p-adic polylogarithm; 2005/04
    ANNOUNCEMENT INFO.; 
    AUTHOR; Kentaro Nakamura

Invited Lecture, Special Lecture

  • 階数2の普遍ガロア変形に対するゼータ同型の構成に向けて; 2017/09
    ANNOUNCEMENT INFO.; 
    AUTHOR; 
  • p-進局所ラングランズ対応と岩澤主予想; 2017/09
    ANNOUNCEMENT INFO.; 
    AUTHOR; 
  • A construction of local epsilon-isomorphisms using Colmez`s multiplicative convolution; 2017/06
    ANNOUNCEMENT INFO.; p-adic Hodge Theory and Automorphic Forms, Beijing international center for mathematical research
    AUTHOR; Kentaro Nakamura
  • A construction of local epsilon isomorphisms using Colmez's multiplicative convolution; 2016/09
    ANNOUNCEMENT INFO.; 
    AUTHOR; Kentaro Nakamura
  • A construction of local epsilon isomorphisms using Colmez's multiplicative convolution; 2016/07
    ANNOUNCEMENT INFO.; 
    AUTHOR; Kentaro Nakamura
  • A construction of local epsilon isomorphisms using Colmez’s multiplicative convolution; 2016/07
    ANNOUNCEMENT INFO.; 
    AUTHOR; Kentaro Nakamura
  • A construction of local epsilon isomorphisms using Colmez's multiplicative convolution; 2016/05
    ANNOUNCEMENT INFO.; 
    AUTHOR; Kentaro Nakamura
  • Local epsilon isomorphisms for rank two p-adic representations of Gal(¥bar{Q}_p/Q_p) and a functional equation of Kato's Euler system; 2015/08
    ANNOUNCEMENT INFO.; 5th East Asia Number Theory Conference, Korea, August 2015.
    AUTHOR; Kentaro Nakamura
  • Local epsilon isomorphisms for rank two p-adic representations of Gal(¥bar{Q}_p/Q_p) and a functional equation of Kato's Euler system; 2015/06
    ANNOUNCEMENT INFO.; Geometrie arithmetique, theorie des representations et applications, Luminy, France, June 2015
    AUTHOR; Kentaro Nakamura
  • Local epsilon isomorphisms for rank two p-adic representations of Gal(¥bar{Q}_p/Q_p) and a functional equation of Kato's Euler system; 2014/12
    ANNOUNCEMENT INFO.; 
    AUTHOR; Kentaro Nakamura
  • Local epsilon isomorphisms for rank two p-adic representations of Gal(¥bar{Q}_p/Q_p) and a ─ functional equation of Kato's Euler system; 2014/07
    ANNOUNCEMENT INFO.; 
    AUTHOR; Kentaro Nakamura
  • Local epsilon isomorphisms for rank two p-adic representations of Gal(¥bar{Q}_p/Q_p) and a functional equation of Kato's Euler system; 2014/06
    ANNOUNCEMENT INFO.; 
    AUTHOR; Kentaro Nakamura
  • A generalization of Kato's local epsilon conjecture for (φ, Γ)-modules over the Robba ring; 2014/04
    ANNOUNCEMENT INFO.; Workshop on Iwasawa theory and p-adic family of automorphic forms, April 2014, Kyoto University.
    AUTHOR; Kentaro Nakamura
  • Local epsilon isomorphisms for rank two p-adic representations of Gal(¥bar{Q}_p/Q_p) and a functional equation of Kato's Euler system; 2014/03
    ANNOUNCEMENT INFO.; 
    AUTHOR; Kentaro Nakamura
  • Local epsilon isomorphisms for rank two p-adic representations of Gal(¥bar{Q}_p/Q_p); 2014/02
    ANNOUNCEMENT INFO.; 
    AUTHOR; Kentaro Nakamura
  • p進 Langlands 対応 1 (概説講演); 2013/12
    ANNOUNCEMENT INFO.; 
    AUTHOR; Kentaro Nakamura
  • p-adic Galois representations and (φ, Γ)-modules over the Robba ring; 2013/08
    ANNOUNCEMENT INFO.; 
    AUTHOR; Kentaro Nakamura
  • A generalization of Kato's local epsilon conjecture for (φ, Γ)-modules over the Robba ring; 2013/03
    ANNOUNCEMENT INFO.; Applications of Iwasawa Algebras, March 2013, Banff (Canada)
    AUTHOR; Kentaro Nakamura
  • A generalization of Kato's local epsilon conjecture for (φ, Γ)-modules over the Robba ring; 2013/01
    ANNOUNCEMENT INFO.; Korea Japan Joint Sminar on Number Theory and Related Topics, January 2013, Korea. 
    AUTHOR; Kentaro Nakamura
  • A generalization of Kato's local epsilon conjecture for (φ, Γ)-modules over the Robba ring; 2013/01
    ANNOUNCEMENT INFO.; Workshop on Modular forms and Galois representations, January 2013, KIAS(Korea).
    AUTHOR; Kentaro Nakamura
  • A generalization of Kato's local epsilon conjecture for (φ, Γ)-modules over the Robba ring,; 2012/11
    ANNOUNCEMENT INFO.; p-adic cohomology and its applications to arithmetic geometry, November 2012, Tohoku University.
    AUTHOR; Kentaro Nakamura
  • The Bloch-Kato conjecture (survey); 2012/10
    ANNOUNCEMENT INFO.; The 15th Hakuba Autumn Workshop on Number Theory, October 2012, Hakuba.
    AUTHOR; Kentaro Nakamura
  • A generalization of Kato's local epsilon conjecture for (φ, Γ)-modules over the Robba ring; 2012/10
    ANNOUNCEMENT INFO.; 
    AUTHOR; Kentaro Nakamura
  • A generalization of Kato's local epsilon conjecture for (φ, Γ)-modules over the Robba ring; 2012/07
    ANNOUNCEMENT INFO.; Workshop on the arithmetic geometry of Shimura varieties, representation theory, and related topics, Juky 2012, Hokkaido University.
    AUTHOR; Kentaro Nakamura
  • Iwasawa theory of de Rham (φ, Γ)-modules over the Robba ring; 2012/06
    ANNOUNCEMENT INFO.; 
    AUTHOR; Kentaro Nakamura
  • Iwasawa theory of de Rham (φ, Γ)-modules over the Robba ring; 2012/03
    ANNOUNCEMENT INFO.; Workshop on the p- adic Langlands program: recent developments and applications, March 2012, Fields Institute (Canada).
    AUTHOR; Kentaro Nakamura
  • Iwasawa cohomology and Bloch-Kato exponential map for B-pairs; 2011/12
    ANNOUNCEMENT INFO.; 
    AUTHOR; Kentaro Nakamura
  • Zariski density of crystalline representations for any p-adic field; 2011/09
    ANNOUNCEMENT INFO.; Boston-Keio Summer Workshop, September 2011, Boston University.
    AUTHOR; Kentaro Nakamura
  • Zariski density of crystalline representations for any p-adic field; 2011/07
    ANNOUNCEMENT INFO.; Workshop on the arithmetic geometry of Shimura varieties and Rapoport-Zink spaces, July 2011, Kyoto University.
    AUTHOR; Kentaro Nakamura
  • Zariski density of crystalline representations; 2011/02
    ANNOUNCEMENT INFO.; 
    AUTHOR; Kentaro Nakamura
  • Zariski density of crystalline representations; 2010/07
    ANNOUNCEMENT INFO.; 
    AUTHOR; Kentaro Nakamura
  • Construction of p-adic families of trianguline representations; 2010/04
    ANNOUNCEMENT INFO.; 
    AUTHOR; Kentaro Nakamura
  • 二次元クリスタリン表現の Zariski 稠密性; 2009/12
    ANNOUNCEMENT INFO.; 
    AUTHOR; Kentaro Nakamura
  • Trianguline representations and Zariski density of two dimensional cristalline representations; 2009/11
    ANNOUNCEMENT INFO.; Keio-Yonsei Cooperative Research Conference on Mathematical Sciences 2009, November 2009, Yonsei University (Korea).
    AUTHOR; Kentaro Nakamura
  • Zariski density of two dimensional trianguline representations of p-adic fields; 2009/10
    ANNOUNCEMENT INFO.; 
    AUTHOR; Kentaro Nakamura
  • Zariski density of two dimensional trianguline representations of p-adic fields; 2009/07
    ANNOUNCEMENT INFO.; p-adic Automorphic Forms and Arithmetic Geometry,July 2009, Kesennuma Oshima.
    AUTHOR; Kentaro Nakamura
  • p進体の二次元三角表現の Zariski 稠密性; 2009/07
    ANNOUNCEMENT INFO.; 
    AUTHOR; Kentaro Nakamura
  • Classification of two dimensional split trianguline representations of p-adic fields; 2009/03
    ANNOUNCEMENT INFO.; Industrious Number Theory, March 2009, KIAS (Korea).
    AUTHOR; Kentaro Nakamura
  • Classification of two dimensional trianguline representations of p-adic fields; 2007/12
    ANNOUNCEMENT INFO.; 
    AUTHOR; Kentaro Nakamura


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