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

• Zeta morphisms for rank two universal deformations 2023/06
• Zeta morphisms for rank two universal deformations 2023/03
• Construction of a p-adic L-functions over the Coleman-Mazur eigencurve 2023/01
• Construction of a p-adic L-function over the Coleman-Mazur eigencurve 2022/12
• 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
• p-進局所ラングランズ対応と岩澤主予想 2017/09
• A construction of local epsilon-isomorphisms using Colmez`s multiplicative convolution 2017/06
• 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
• A generalization of Kato's local epsilon conjecture for (φ, Γ)-modules over the Robba ring 2017
• Zariski density of crystalline representations for any p-adic field 2014
• Iwasawa theory of de Rham (φ, Γ)-modules over the Robba ring 2014
• Deformations of trianguline B-pairs and Zariski density of two dimensional crystalline representations 2013
• Classification of two dimensional split trianguline representations of p-adic fields 2009

Original Articles

• Zeta morphisms for rank two universal deformations;　2023/06
  ANNOUNCEMENT INFO.;　Inventiones mathematicae, 234, 171-290 (2023)
  AUTHOR;　Kentaro Nakamura
  
• Remarks on Kato’s Euler systems for elliptic curves with additive reduction;　2020/00
  ANNOUNCEMENT INFO.;　Journal of Number Theory, 210(2020), 248-279.
  AUTHOR;　Chan-Ho Kim, K. 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;　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

• Construction of a p-adic L-function over the Coleman-Mazur eigencurve;　2022/12
  ANNOUNCEMENT INFO.;　Algebraic Number Theory and Related Topics 2022, RIMS
  AUTHOR;　Chan-Ho Kim, K.Nakamura
  
• p 進 Langlands 対応と岩澤主予想について;　2022/05
  ANNOUNCEMENT INFO.;　
  AUTHOR;　
  
• p 進ラングランズ対応と岩澤主予想について;　2021/11
  ANNOUNCEMENT INFO.;　
  AUTHOR;　
  
• ゼータ元の合同と岩澤主予想への応用,;　2020/12
  ANNOUNCEMENT INFO.;　
  AUTHOR;　
  
• Congruences of zeta elements and its application to Iwasawa main conjecture;　2020/11
  ANNOUNCEMENT INFO.;　Number Theory seminar, KIAS. 集中講義
  AUTHOR;　Kentaro Nakamura
  
• GL2/Q の p 進 Langlands 対応と岩澤主予想;　2019/11
  ANNOUNCEMENT INFO.;　
  AUTHOR;　
  
• 階数2の普遍ガロア変形に対するゼータ元の構成について;　2018/11
  ANNOUNCEMENT INFO.;　
  AUTHOR;　
  
• 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

• Zeta morphisms for rank two universal deformations;　2023/03
  ANNOUNCEMENT INFO.;　Shimura Varieties and L-functions, a conference in honor of Shouwu Zhang 60th Birthday, MSRI, Barkley
  AUTHOR;　Kentaro Nakamura
  
• Construction of a p-adic L-functions over the Coleman-Mazur eigencurve;　2023/01
  ANNOUNCEMENT INFO.;　Algebraic and Analytic Aspects of L-functions, UNIST BRL Conference, Incheon, Korea
  AUTHOR;　Chan-Ho Kim, K. Nakamura
  
• Zeta morphisms for rank two universal deformations;　2021/01
  ANNOUNCEMENT INFO.;　
  AUTHOR;　Kentaro Nakamura
  
• Construction of zeta element for rank two universal deformation;　2018/11
  ANNOUNCEMENT INFO.;　p-adic cohomology and arithmetic geometry, 東北大学.
  AUTHOR;　K.Nakamura
  
• 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