Organization
Graduate Faculty of Interdisciplinary Research Faculty of Education Human Science (Science Education) Professor
Title
Professor
Contact information
Koike Kenji
Research History
-
University of Yamanashi Professor
2022.4
-
University of Yamanashi Associate Professor
2007.4
-
University of Yamanashi
2006.1
-
University of Yamanashi Senior Assistant Professor
2003.8
Education
-
千葉大学大学院 自然科学研究科
- 2001.3
Country： Japan
Course： Doctor later
-
千葉大学大学院 自然科学研究科
- 1998.3
Country： Japan
Course： Master course
-
Chiba University
- 1996.3
Country： Japan
Degree
-
博士（理学） ( 千葉大学 )
Research Areas
-
Natural Science / Algebra
Research Interests
-
代数曲線、K3曲面、Abel多様体、テータ関数、超幾何関数、周期写像
Subject of research
-
代数多様体の周期、保型関数、古典代数幾何、超幾何関数
Research Projects
-
特殊関数と代数幾何
2018.4 - 2021.3
Authorship：Principal investigator Type of fund：：Science research expense
-
代数曲線、K3曲面、アーベル多用体の総合的研究
2015.4 - 2018.3
Authorship：Principal investigator Type of fund：：Science research expense
-
Hermite上半空間を周期領域にもつK3曲面の族の研究
2012.4 - 2015.3
Authorship：Principal investigator Type of fund：：Science research expense
-
Hessian K3曲面を利用した3次曲面のモジュライの研究
2010.4 - 2012.3
Authorship：Principal investigator Type of fund：：Science research expense
-
アーベル多様体の代数幾何学的・数論的研究と暗号理論への応用
2007.4 - 2009.3
Authorship：Principal investigator Type of fund：：Science research expense
-
Abel多様体の周辺
2004.4 - 2007.3
Authorship：Principal investigator Type of fund：：Science research expense
Papers
-
On cubic fourfolds with an inductive structure Reviewed
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 150 ( 9 ) 3757 - 3769 2022.9( ISSN：0002-9939 )
-
Picard-Vessiot groups of Lauricella's hypergeometric system E_C and Calabi-Yau varieties arising integral representations Reviewed
Yoshiaki Goto and Kenji Koike
Journal of London mathematical society 102 ( 1 ) 22 - 42 2020.8
-
教材としての暗号理論
小池健二
山梨大学教育学部紀要 29 23 - 28 2019.2
-
初等中等教育で扱う三角形の構成
小池健二
山梨大学教育学部紀要 ( 28 ) 107 - 118 2019.1
-
The Fermat septic and the Klein quartic as the moduli spaces of hypergeometric Jacobians Reviewed
Hokkaido Mathematical Journal 47 ( 1 ) 109 - 141 2018.3
-
A Picard modular 4-fold and the Weyl group W(E6) Reviewed Major achievement
Kenji Koike, Bert van Geemen
COMMUNICATIONS IN ANALYSIS AND GEOMETRY 23 923 - 949 2015.12( ISSN：1019-8385 )
-
On Jacobian Kummer surfaces Reviewed Major achievement
Journal of the Mathematical Society of Japan 66 ( 3 ) 997 - 1016 2014.7
-
Elliptic K3 surfaces admitting a Shioda-Inose structure Reviewed Major achievement
Commentarii Mathematici Universitatis Sancti Pauli 61 ( 1 ) 77 - 86 2012.12
-
Hessian K3 surfaces of non-Sylvester type Reviewed Major achievement
JOURNAL OF ALGEBRA 330 ( 1 ) 388 - 404 2011.1( ISSN：0021-8693 )
-
An extended Gauss AGM and corresponding Picard modular forms Reviewed Major achievement
Kenji Koike, Hironori Shiga
Journal of Number Theory 128 ( 7 ) 2097 - 2126 2008.3
-
Isogeny formulas for the Picard modular form and a three terms arithmetic geometric mean Reviewed Major achievement
Kenji Koike,Hironori Shiga
Journal of Number Theory 124 ( 1 ) 123 - 141 2007.3
-
Quotients of Fermat curves and a Hecke character Reviewed Major achievement
Bert van Geemen,Kenji Koike,Annegret Weng
Finite Fields and Their Applications 11 ( 1 ) 6 - 29 2005.4
-
Construction of CM Picard curves Reviewed Major achievement
Kenji Koike,Annegret Weng
Mathmatics of Computation 74 ( 249 ) 499 - 518 2004.4
-
Algebraicity of some Weil Hodge classes Reviewed Major achievement
Kenji Koike
The Canadian Mathematical Bulletin 47 ( 4 ) 566 - 572 2004.4
-
Remarks on the Segre cubic Reviewed Major achievement
Kenji Koike
Archiv der Mathematiks 81 155 - 160 2003.4
-
On the family of pentagonal curves of genus 6 and associated modular forms on the ball Reviewed Major achievement
Kenji Koike
Journal of Mathematical Society of Japan 55 ( 1 ) 165 - 196 2003.4
-
On the Picard modular surface for Q(√-2) and related theta constant Reviewed Major achievement
Kenji Koike
Mathematische Nachrichten 254/255 566 - 572 2003.4
-
P1×P1上の(1,1)次曲線４本の配置について Major achievement
落合啓之,小池健二
京都大学数理解析研究所 講究録 ( 1342 ) 82 - 85 2003.1
-
Study on the family of K3 surfaces induced from the lattice (D4)^3＋<－2>＋<－2> Reviewed Major achievement
Kenji Koike,Hironori Shiga,Nobuki Takayama,Toru Tsutsui
International Journal of Mathematics 12 ( 9 ) 1049 - 1085 2001.4
-
Notes on a certain integral orthogonal group and its quotient by the principal congruence subgroup of level 2 Reviewed Major achievement
Masaaki Kitadume,Kenji Koike,Hironori Shiga
Kyushu Journal of Mathematics 54 ( 2 ) 257 - 271 2000.4
-
The projective embedding of the configuration space X(2,8) Major achievement
Kenji Koike
Technical Reports of Mathematical Sciences, Chiba University 16 ( 7 ) 2000.1
Teaching Experience (On-campus)
-
Theory of Curriculum
2023Year
-
Clinical Approach to School Curriculum
2023Year
-
Foundations of Elementary Mathematics
2023Year
-
Essence and Goals / Content Structure of Mathematics
2023Year
-
Mathematics Seminar I Major achievement
2023Year
-
Algebraic Structures Major achievement
2023Year
-
Linear Algebra I Major achievement
2023Year
-
Relay Seminars for Introduction to Each Discipline of the Faculty
2023Year
-
線形代数学I
2017Year Type of subject：Professional education (undergraduate)
-
数学セミナーII
2017Year
-
算数科内容論
2017Year
-
数学的見方
2017Year Type of subject：Common education (undergraduate)
-
線形代数学II
2017Year
-
学部入門ゼミ
2017Year
-
算数科内容論
2017Year
-
数学セミナーI
2017Year
-
立体の幾何
2017Year
-
集合と写像
2017Year Type of subject：Professional education (undergraduate)
Professional Memberships
-
日本数学会