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

Algorithms    Databases    Research    Seminar    Teaching

Education and Postdoctoral Experience

• Professor, Institut de Mathématiques de Luminy, at the Université de la Mediterranée, 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 and Upcoming Activities

• Conference on Geometric and Cryptography (GeoCrypt 2009, Guadeloupe), co-organised by the research groups ATI of the Institut de Mathématiques de Luminy, eRISCS of the Université de la Méditerranée, Marseille, and AOC of the Université des Antilles et de la Guyane, with the support of Microsoft Research, 27 April - 1 May 2009.
• Arithmétique, Géométrie, Cryptographie et Théorie des Codes (AGCT-12), co-organized with Serge Vladut, 30 March - 3 April 2009.
• 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.
  

Algorithms    Databases    Research    Seminar    Teaching

David R. Kohel (kohel@iml.univ-mrs.fr) Institut de Mathématiques de Luminy