Dr. David Kohel Professeur des universités Aix-Marseille Université Adresse: Institut de Mathématiques de Marseille 163, avenue de Luminy, Case 907 13288 Marseille Cedex 9, FRANCE Email: David.Kohel@univ-amu.fr

Academic Career

• Professor, Institut de Mathématiques de Marseille (I2M), at the Aix-Marseille Université (AMU), since 2007.
• Honorary Senior Lecturer, Number Theory Group, School of Mathematics and Statistics at the University of Sydney, 2007-2012.
• 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

Administration

• Directeur of the Département de Mathématiques of AMU, 2018-2021, Directeur adjoint, 2021-2023.
• Member of the Conseil du laboratoire de l'Institut de Mathématiques de Marseille (I2M), since 2014.
• Member of the Conseil du Département de Mathématiques of AMU, 2016-2023.
• Responsible of the Commission doctorale of I2M, 2016-2018.
• Responsible for the Master program Mathématiques Discrètes et Fondements d'Informatique, 2010-2018.
  (See the Master program Informatique et Mathématiques Discrètes for its successor.)

Research Interests

• Algorithmic and computational algebraic number theory.
• Arithmetic of curves over number rings, finite fields, and p-adic analysis.
• Elliptic curves, modular curves, Shimura curves and supersingular divisors.
• Brandt modules of quaternion algebras, quadratic forms, and supersingular elliptic curves.
• Abelian varieties, isogenies, endomorphism ring structure, and associated moduli spaces.
• Arithmetic and geometry of complex multiplication and class field theory.
• Sato-Tate groups and Frobenius distributions associated to moduli spaces and in families.
• Arithmetic of integral and rational quadratic modules and geometry of quadratic hypersurfaces.
• Algebraic-geometric codes, cryptology, and discrete log problems.

Curriculum vitae

• Version française and English version, 2015.

David Kohel (David.Kohel@univ-amu.fr) Institut de Mathématiques de Marseille