• Statements of Variational Principles
• Foundations of Probability and Analytical Geometry
• Number theory.

The spirit of the prize is focused on rewarding the results of researches accessible to the greatest number of professional mathematicians within these fields. The Fermat prize was created in 1989 and is awarded once every two years in Toulouse. The amount of the Fermat prize has been fixed at 20 000 Euros for the tenth edition (2007).

Previous prizewinners

• 1989 Awarded jointly to Abbas Bahri for the introduction of new methods in the calculus of variations and to Kenneth Ribet for his contribution to number theory and Fermat's Last Theorem.
• 1991 Awarded to Jean-Louis Colliot-Thélène for his work on number theory and rational manifolds the research for which was undertaken to a large extent with J.-J. Sansuc.
• 1993 Awarded to Jean-Michel Coron for his contributions to the study of variational problems and control theory.
• 1995 Awarded to Andrew Wiles for his works on Shimura-Taniyama-Weil's conjecture which resulted in the demonstration of Fermat's Last Theorem.
• 1997 Awarded to Michel Talagrand for his fundamental contributions in various domains of probability.
• 1999 Awarded jointly to Fabrice Bethuel and Frédéric Hélein for several important contributions to the theory of variational calculus, which have consequences in Physics and Geometry.
• 2001 Awarded jointly to Richard Taylor for his various contributions to the study of links between Galois representations and automorphic forms and to Wendelin Werner for his works on the intersection exponents of Brownian motion and their impact in theoretical Physics.
• 2003 Awarded to Luigi Ambrosio (Scuola Normale Superiore, Pisa, Italie) for his impressive contributions to the calculus of variations and geometric measure theory, and their link with partial differential equations.
• 2005 Awarded jointly to Pierre Colmez for his contributions to the study of L-functions and p-adic Galois representations and to Jean-François Le Gall for his contributions to the fine analysis of planar Brownian motions, his invention of the Brownian snake and its applications to the study of non-linear partial differential equations.
• 2007 Awarded to Chandrashekhar Khare for his proof with Jean-Pierre Wintenberger of the Serre modularity conjecture in number theory.

External links

• Fermat Prize official web site
• Annales de la faculté des sciences de Toulouse
• Institut Mathématique de Toulouse
• Université Paul Sabatier de Toulouse