Detailed Information

Research Field/Keywords for Research Field

• Number Theory

Education

• 1982/03, Graduated
• 1984/03, Master Course, Completed
• 1987/03, Doctor Course, Completed

Employment Experience

• 1987/04 - 1988/03
• 1988/04 - 1989/10 Research Fellow
• 1989/10 - 1991/03 Research Associate
• 1991/04 - 1992/03 Lecturer, Faculty of Science and Engineering, Saga University
• 1992/04 - 1997/04 Associate Professor, Faculty of Science and Engineering, Saga University
• 1997/05 - 2010/03 Professor, Faculty of Science and Engineering, Saga University
• 2010/04 -  *  Professor, Mathematics, Graduate School of Science and Engineering, Saga University

Field of Specialization

• Algebra

Research Topics and Results

• CHERN-SIMONS INVARIANT AND DELIGNE-RIEMANN-ROCH ISOMORPHISM 2021/04
• An explicit formula of the normalized Mumford form 2021/01
• Klein's formulas and arithmetic of Teichmuller modular forms 2018/05
• Algebraic and rigid geometry on the Schottky problem 2015/05
• Vector-valued p-adic Siegel modular forms 2014/05
• Congruences between Siegel modular forms II 2013/05
• Modular invariant D-modules 2012/05
• Vector bundles on a nearly degenerate Riemann surfaces 2011/05
• Non-commutative modular symbols, ジーゲルモジュラー形式の（数論）幾何的側面 2010/03
• Motives for elliptic modular groups 2010/03
• Noncommutative modular symbols 2009/12
• モジュラー群の巾零完備化とガロア表現 2009/09
• Galois action on the nilpotent completions of modular groups 2008/09
• A survey on moduli theory and Siegel modular forms mod p 2007
• Siegel modular forms modulo p 2007
• A higher rank version of Abel-Jacobi's theorem 2007
• Congruence and p-adic properties of Siegel modular forms 2007
• A family of Schottky groups arising from the hypergeometric equation 2006
• Teichmuller groupoids, and monodromy in conformal field theory 2004
• Teichmuller groupoids and Galois action 2003

Original Articles

• CHERN-SIMONS INVARIANT AND DELIGNE-RIEMANN-ROCH ISOMORPHISM;　2021/04
  ANNOUNCEMENT INFO.;　TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 374, 4, 2987--3005
  AUTHOR;　Takashi Ichikawa
  
• An explicit formula of the normalized Mumford form;　2021/01
  ANNOUNCEMENT INFO.;　Letters in Mathematical Physics, 111
  AUTHOR;　Takashi Ichikawa
  
• Klein's formulas and arithmetic of Teichmuller modular forms;　2018/05
  ANNOUNCEMENT INFO.;　Proc. AMS
  AUTHOR;　Takashi Ichikawa
  
• Algebraic and rigid geometry on the Schottky problem;　2015/05
  ANNOUNCEMENT INFO.;　J. reine angew Math., 705, 23--33
  AUTHOR;　Takashi Ichikawa
  
• Vector-valued p-adic Siegel modular forms;　2014/05
  ANNOUNCEMENT INFO.;　J. reine angew. Math., 690, 35--49
  AUTHOR;　Takashi Ichikawa
  
• Congruences between Siegel modular forms II;　2013/05
  ANNOUNCEMENT INFO.;　Journal of Number Theory, 133, 1362--1371
  AUTHOR;　Takashi Ichikawa
  
• Modular invariant D-modules;　2012/05
  ANNOUNCEMENT INFO.;　Math. Res. Lett., 19, 9--12
  AUTHOR;　Takashi Ichikawa
  
• Vector bundles on a nearly degenerate Riemann surfaces;　2011/05
  ANNOUNCEMENT INFO.;　Math. Z., 268, 969--977
  AUTHOR;　Takashi Ichikawa
  
• Motives for elliptic modular groups;　2010/03
  ANNOUNCEMENT INFO.;　
  AUTHOR;　Takashi Ichikawa
  
• Siegel modular forms of degree 2 over rings;　2009/02
  ANNOUNCEMENT INFO.;　Journal of Number Theory, 129, 818-823
  AUTHOR;　Takashi Ichikawa
  
• Congruences between Siegel modular forms;　2008/08
  ANNOUNCEMENT INFO.;　Mathematische Annalen, 342, 527-532
  AUTHOR;　Takashi Ichikawa
  
• A family of Schottky groups arising from the hypergeometric equation;　2006
  ANNOUNCEMENT INFO.;　Proc. Amer. Math. Soc., 132, 2271-2280
  AUTHOR;　Takashi Ichikawa, Masaaki Yoshida
  
• Heights on a subvariety of an abelian variety;　2004
  ANNOUNCEMENT INFO.;　J. Number Theory, 104, 170-176
  AUTHOR;　Takashi Ichikawa
  
• On Schottky groups arising from the hypergeometric equation with imaginary exponents;　2004
  ANNOUNCEMENT INFO.;　Proc. Amer. Math. Soc., 132, 447-454
  AUTHOR;　Takashi Ichikawa, Masaaki Yoshida
  
• Teichmuller groupoids, and monodromy in conformal field theory;　2004
  ANNOUNCEMENT INFO.;　Commun. Math. Phys., 246, 1-18
  AUTHOR;　Takashi Ichikawa
  
• Teichmuller groupoids and Galois action;　2003
  ANNOUNCEMENT INFO.;　J. Reine Angew. Math., 559, 95-114
  AUTHOR;　Takashi Ichikawa
  

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

• Teichmuller groupoids and their applications;　2004
  ANNOUNCEMENT INFO.;　Proc. of the Japan-Korea Joint Seminar on Number Theory , 59-78
  AUTHOR;　Takashi Ichikawa
  

General Lectures

• モチーフとモジュラー群;　2010/03
  ANNOUNCEMENT INFO.;　
  AUTHOR;　Takashi Ichikawa
  
• 保型形式の合同とモジュラー多様体の幾何;　2009/02
  ANNOUNCEMENT INFO.;　
  AUTHOR;　Takashi Ichikawa
  
• A higher rank version of Abel-Jacobi's theorem;　2007
  ANNOUNCEMENT INFO.;　
  AUTHOR;　
  
• Congruence and p-adic properties of Siegel modular forms;　2007
  ANNOUNCEMENT INFO.;　
  AUTHOR;　
  
• Schottky-Mumford uniformization and arithmetic geometry, mathematical physics;　2005/06
  ANNOUNCEMENT INFO.;　Seminar on arithmetic geometry in Hokkaido University
  AUTHOR;　Takashi Ichikawa
  
• Teichmuller groupoids and their applications;　2004/10
  ANNOUNCEMENT INFO.;　The Japan-Korea Joint Seminar on Number Theory in Kuju
  AUTHOR;　Takashi Ichikawa
  
• Heights on a subvariety of an abelian variety;　2003/12
  ANNOUNCEMENT INFO.;　
  AUTHOR;　
  
• Teichmuller modular forms;　2003/04
  ANNOUNCEMENT INFO.;　Zagier conference in Osaka University
  AUTHOR;　Takashi Ichikawa
  

Invited Lecture, Special Lecture

• Non-commutative modular symbols, ジーゲルモジュラー形式の（数論）幾何的側面;　2010/03
  ANNOUNCEMENT INFO.;　
  AUTHOR;　Takashi Ichikawa
  
• Noncommutative modular symbols;　2009/12
  ANNOUNCEMENT INFO.;　
  AUTHOR;　Takashi Ichikawa
  
• モジュラー群の巾零完備化とガロア表現;　2009/09
  ANNOUNCEMENT INFO.;　
  AUTHOR;　Takashi Ichikawa
  
• Galois action on the nilpotent completions of modular groups;　2008/09
  ANNOUNCEMENT INFO.;　
  AUTHOR;　Takashi Ichikawa
  
• A survey on moduli theory and Siegel modular forms mod p;　2007
  ANNOUNCEMENT INFO.;　The 4-th Spring Conference on Modular Forms and Related Topics(静岡)
  AUTHOR;　Takashi Ichikawa
  
• Siegel modular forms modulo p;　2007
  ANNOUNCEMENT INFO.;　
  AUTHOR;　
  
• Teichmuller groupoids and number theory;　2005/12
  ANNOUNCEMENT INFO.;　
  AUTHOR;　
  
• Teichmuller groupoids and their applications;　2005/03
  ANNOUNCEMENT INFO.;　
  AUTHOR;　
  
• Schottky uniformization and arithmetic geometry;　2005/03
  ANNOUNCEMENT INFO.;　Arithmetic Geometry in Karatsu
  AUTHOR;　Takashi Ichikawa