Dr. David R. Kohel Professeur des universités Université de la Méditerranée Adresse: Institut de Mathématiques de Luminy 163, avenue de Luminy, Case 907 13288 Marseille Cedex 9, FRANCE Bureau: IML 106 Tél: +33 4 91 26 95 73 Fax: +33 4 91 26 96 55 Email: David.Kohel@univmed.fr

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Academic Career

• Professor, Institut de Mathématiques de Luminy, at the Université de la Méditerranée, 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

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.
  

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David R. Kohel (David.Kohel@univmed.fr) Institut de Mathématiques de Luminy