Christophe Breuil (; born 1968) is a French

mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History On ...

, who works in

arithmetic geometry In mathematics, arithmetic geometry is roughly the application of techniques from algebraic geometry to problems in number theory. Arithmetic geometry is centered around Diophantine geometry, the study of rational points of algebraic varieties. ...

and algebraic number theory.

Work

With

Fred Diamond Fred Irvin Diamond (born November 19, 1964) is a mathematician, known for his role in proving the modularity theorem for elliptic curves. His research interest is in modular forms and Galois representations. Diamond received his B.A. from the ...

, Richard Taylor and

Brian Conrad Brian Conrad (born November 20, 1970) is an American mathematician and number theorist, working at Stanford University. Previously, he taught at the University of Michigan and at Columbia University. Conrad and others proved the modularity theo ...

in 1999, he proved the Taniyama–Shimura conjecture, which previously had only been proved for semistable elliptic curves by

Andrew Wiles Sir Andrew John Wiles (born 11 April 1953) is an English mathematician and a Royal Society Research Professor at the University of Oxford, specializing in number theory. He is best known for proving Fermat's Last Theorem, for which he was awa ...

and Taylor in their proof of

Fermat's Last Theorem In number theory, Fermat's Last Theorem (sometimes called Fermat's conjecture, especially in older texts) states that no three positive integers , , and satisfy the equation for any integer value of greater than 2. The cases and have been ...

. Later, he worked on the ''p''-adic Langlands conjecture.

Academic life

Breuil attended schools in Brive-la-Gaillarde and

Toulouse Toulouse ( , ; oc, Tolosa ) is the prefecture of the French department of Haute-Garonne and of the larger region of Occitania. The city is on the banks of the River Garonne, from the Mediterranean Sea, from the Atlantic Ocean and from Pa ...

and studied from 1990 to 1992 at the

École Polytechnique École may refer to: * an elementary school in the French educational stages normally followed by secondary education establishments (collège and lycée) * École (river), a tributary of the Seine flowing in région Île-de-France * École, Savoi ...

. In 1993, he obtained his DEA degree at the

Paris-Sud 11 University Paris-Sud University (French: ''Université Paris-Sud''), also known as University of Paris — XI (or as Université d'Orsay before 1971), was a French research university distributed among several campuses in the southern suburbs of Paris, in ...

located in

Orsay Orsay () is a commune in the Essonne department in Île-de-France in northern France. It is located in the southwestern suburbs of Paris, France, from the centre of Paris. A fortified location of the Chevreuse valley since the 8th centur ...

. From 1993 to 1996 he conducted research at the École Polytechnique and taught simultaneously at the University of Paris-Sud, Orsay, and in 1996 received his PhD from the École Polytechnique, supervised by

Jean-Marc Fontaine Jean-Marc Fontaine (13 March 1944 – 29 January 2019) was a French mathematician. He was one of the founders of p-adic Hodge theory. He was a professor at Paris-Sud 11 University from 1988 to his death. Life In 1962 Fontaine entered the Écol ...

with the thesis "Cohomologie log-cristalline et représentations galoisiennes p -adiques". In 1997, he gave the Cours Peccot at the

Collège de France The Collège de France (), formerly known as the ''Collège Royal'' or as the ''Collège impérial'' founded in 1530 by François I, is a higher education and research establishment ('' grand établissement'') in France. It is located in Paris n ...

. In 2001 he obtained a habilitation degree entitled "Aspects entiers de la théorie de Hodge p-adique et applications" at Paris-Sud 11 University. Between 2002 to 2010 he was at the IHES. From 2010 he has been in the Mathematics Department of

University of Paris-Sud Paris-Sud University (French: ''Université Paris-Sud''), also known as University of Paris — XI (or as Université d'Orsay before 1971), was a French research university distributed among several campuses in the southern suburbs of Paris, in ...

as Director of Research with the CNRS. In 2007-2008 he was a visiting professor at

Columbia University Columbia University (also known as Columbia, and officially as Columbia University in the City of New York) is a private research university in New York City. Established in 1754 as King's College on the grounds of Trinity Church in Manhatt ...

Awards and recognition

In 1993 he was awarded the

Prix Gaston Julia Prix was an American power pop band formed in Memphis, Tennessee, in 1975 by Tommy Hoehn and Jon Tiven. The group ended up primarily as a studio project. Its recordings were produced by Tiven along with former Big Star member Chris Bell, who als ...

at the

. In 2002 he received the of the French Academy of Sciences and the 2006

Prix Dargelos Anciens Élèves Prix was an American power pop band formed in Memphis, Tennessee, in 1975 by Tommy Hoehn and Jon Tiven. The group ended up primarily as a studio project. Its recordings were produced by Tiven along with former Big Star member Chris Bell, who als ...

of the École Polytechnique. He was an invited speaker in International Congress of Mathematicians 2010,

Hyderabad Hyderabad ( ; , ) is the capital and largest city of the Indian state of Telangana and the ''de jure'' capital of Andhra Pradesh. It occupies on the Deccan Plateau along the banks of the Musi River, in the northern part of Southern India ...

on the topic of "''Number Theory.''"

References

External links

* {{DEFAULTSORT:Breuil, Christophe Living people 20th-century French mathematicians 21st-century French mathematicians Paris-Sud University alumni 1968 births Arithmetic geometers École Polytechnique alumni Fermat's Last Theorem Research directors of the French National Centre for Scientific Research