**The Fermat Prize** rewards the research work of one or more mathematicians, less than 45 years old, in fields where the contributions of Pierre de Fermat have been decisive:

- Statements of Variational Principles, or more generally partial differential equations,
- Foundations of Probability and Analytical Geometry,
- Number Theory.

The spirit of the prize is focused on rewarding the results of research accessible to the greatest number of professional mathematicians within these fields. Thus work - even of a brilliant level - the comprehension, interest and usefulness of which are the prerogative of a restricted number of specialist mathematicians cannot be considered.

The award amounts to a total of 20.000€ granted every two years by the Conseil Régional Midi-Pyrénées.

The recipient(s) is (are) required to publish an article summarizing their findings in the mathematical journal Annales de la Faculté des Sciences de Toulouse ; the aim of this paper, addressed to professional mathematicians not necessarily experts in the subject, is to explain the significance of the results of the research rewarded by the Prize.

The laureates from the previous sessions are:

A. Bahri, K.A. Ribet (1989) - J.-L. Colliot-Thélène (1991) - J.-M. Coron (1993) - A.J. Wiles (1995) - M. Talagrand (1997) - F. Bethuel, F. Hélein (1999) - R. L. Taylor, W. Werner (2001) - L. Ambrosio (2003) - P. Colmez, J.-F. Le Gall (2005) - C. Khare (2007) - E. Lindenstrauss, C. Villani (2009) - M. Bhargava, I. Rodnianski (2011) - C. De Lellis, M. Hairer (2013).

**Application**

The application file can be completed and submitted by the candidate him/herself or by a mathematician wishing to "sponsor" the candidacy of another, and who would complete the application on his/her behalf (without the candidate necessarily being aware of it).

**Application content:**

- 1. Detailed curriculum vitae and academic record of the candidate.
- 2. List of publications, including works not connected with application to the Prize.
- 3. A summary of research work which would justify the award of the Prize.
- 4. A handwritten statement by the candidate or sponsor attesting to the truthfulness of the material supplied, and to the authenticity of the documents and other information provided.

To back up this presentation, the following could also be appended:

- copies of work published in international journals;
- confidential opinions of personalities from the world of Mathematics as to the content, range and usefulness of the results presented by the candidate. These documents are non-returnable.

The management and administration of dossiers will be the responsibility of Paul Sabatier University.

The application must be written in French or English, excluding all other languages.

The sending off of the registration form implies the unconditional acceptance of these rules by the candidate or the sponsor.

Applications are to be sent to the organizing secretariat of the Fermat Prize.

- either by email at: Prix.Fermat@math.univ-toulouse.fr

- or by mail at :

Prix Fermat de Recherche en Mathématiques

Institut de Mathématiques de Toulouse

Université Paul Sabatier (Toulouse 3)

31062 Toulouse cedex 9

France

**Closing date for applications to the 2015 Fermat Prize : 30 June 2015 **

**Results : December 2015**

**Presentation in Toulouse, and Fermat Prize award ceremony : Spring 2016**

For more informations, please download the abridged english version of the rules governing the award of the Fermat Prize for mathematics research : regulation 2015