Dr. David R. Kohel Honorary Senior Lecturer School of Mathematics and Statistics University of Sydney, NSW 2006 Sydney, Australia Email : kohel@iml.univ-mrs.fr

Education and Postdoctoral Experience

• Professor, Institut de Mathématiques de Luminy, at the Université de la Mediterranée, AIX-Marseille II, 2007-present.
• Honorary Senior Lecturer, Number Theory Group, School of Mathematics and Statistics at the University of Sydney, from 2007.
• Senior Lecturer, Number Theory Group, School of Mathematics and Statistics at the University of Sydney, 2005-2007.
• Lecturer in Cryptography, Computational Algebra Group, School of Mathematics and Statistics at the University of Sydney, 2002-2004.
• Postdoctoral Fellow, Mathematical Sciences Research Institute, Berkeley, California, Fall 2000.
• Senior Research Associate, Computational Algebra Group [Magma], School of Mathematics and Statistics at the University of Sydney, 1999-2000 and 2001.
• Postdoctoral Fellow, Department of Mathematics at the National University of Singapore, 1997-1999.
• Ph.D. Mathematics (1996), from the Department of Mathematics at the University of California, Berkeley
• B.S. Mathematics (1989), from the Department of Mathematics at Texas A&M University
• B.S. Biochemistry (1989), from the Department of Biochemistry and Biophysics at Texas A&M University

Recent Activities

• 51st Annual Meeting of the Australian Mathematical Society, special session in Number Theory, co-organized with Claus Fieker, 25 - 28 September 2007.
• Elliptic Curve Cryptography (ECC 2007, Dublin), 5-7 September 2007.
• American Institute of Mathematics workshop on L-functions and modular forms, 30 July - 3 August 2007.
• Symposium on Algebraic Geometry and its Applications (SAGA 2007, Tahiti), in honor of the 60th birthday of Gilles Lachaud, 7-11 May 2007 [excursion to motu].
• ICE-EM/AMSI Summer School course on Cryptography, 15 January - 9 February 2007.
• MSRI Summer Graduate Workshop in Computational Number Theory, 31 July - 11 August 2006.

Research Interests

• Algorithmic and computational algebraic number theory.
• Arithmetic of curves over number rings and finite fields.
• Integral and rational quadratic modules and arithmetic of quadratic hypersurfaces.
• Elliptic curves, modular curves, Shimura curves and supersingular divisors.
• Hecke module structures from quaternion algebras, quadratic forms, and supersingular elliptic curves.
• Abelian varieties and finite group schemes.
• Algebraic-geometric codes, cryptology, and discrete log problems.

Curriculum vitae

• (CV) last revised August 2005, (version française) mars 2007.
  

David R. Kohel (kohel@maths.usyd.edu.au) University of Sydney