Yves André (born December 11, 1959) is a French mathematician, specializing 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 variety, alg ...

Biography

André received his doctorate in 1984 from

Pierre and Marie Curie University Pierre and Marie Curie University (french: link=no, Université Pierre-et-Marie-Curie, UPMC), also known as Paris 6, was a public university, public research university in Paris, France, from 1971 to 2017. The university was located on the Jussi ...

(Paris VI) with thesis advisor Daniel Bertrand and thesis ''Structure de Hodge, équations différentielles p-adiques, et indépendance algébrique de périodes d'intégrales abéliennes''. He became at

CNRS The French National Centre for Scientific Research (french: link=no, Centre national de la recherche scientifique, CNRS) is the French state research organisation and is the largest fundamental science agency in Europe. In 2016, it employed 31,637 ...

in 1985 a Researcher, in 2000 a Research Director 2nd Class, and in 2009 a Research Director 1st Class (at

École Normale Supérieure 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 ...

and

Institut de mathématiques de Jussieu – Paris Rive Gauche The Mathematics Institute of Jussieu–Paris Rive Gauche (''Institut de mathématiques de Jussieu–Paris Rive Gauche'', IMJ-PRG) is a French research institute in fundamental mathematics. It is a "mixed research unit", with three parent organiz ...

Research

In 1989, he formulated the one-dimensional-subvariety case of what is now known as the André-Oort conjecture on special subvarieties of Shimura varieties. Only partial results have been proven so far; by André himself and by

Jonathan Pila Jonathan Solomon Pila (born 1962) FRS One or more of the preceding sentences incorporates text from the royalsociety.org website where: is an Australian mathematician at the University of Oxford. Education Pila earned his bachelor's degree at ...

in 2009. In 2016, André used Scholze's method of

perfectoid space In mathematics, perfectoid spaces are adic spaces of special kind, which occur in the study of problems of "mixed characteristic", such as local fields of characteristic zero which have residue fields of characteristic prime ''p''. A perfecto ...

s to prove

Melvin Hochster Melvin Hochster (born August 2, 1943) is an American mathematician working in commutative algebra. He is currently the Jack E. McLaughlin Distinguished University Professor of Mathematics at the University of Michigan. Education Hochster attend ...

's direct summand conjecture that any finite extension of a regular commutative ring splits as a module.

Awards

In 2011, André received the

Prix Paul Doistau–Émile Blutet The Prix Paul Doistau–Émile Blutet is a biennial prize awarded by the French Academy of Sciences in the fields of mathematics and physical sciences since 1954. Each recipient receives 3000 euros. The prize is also awarded quadrennially in bio ...

of the

Académie des Sciences The French Academy of Sciences (French: ''Académie des sciences'') is a learned society, founded in 1666 by Louis XIV at the suggestion of Jean-Baptiste Colbert, to encourage and protect the spirit of French scientific research. It was at the ...

. In 2015, he was elected as a

Member of the Academia Europaea Membership of the Academia Europaea (MAE) is an award conferred by the Academia Europaea to individuals that have demonstrated "sustained academic excellence". Membership is by invitation only by existing MAE only and judged during a peer review se ...

. He was an invited speaker at the 2018

International Congress of Mathematicians The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU). The Fields Medals, the Nevanlinna Prize (to be rename ...

Rio de Janeiro Rio de Janeiro ( , , ; literally 'River of January'), or simply Rio, is the capital of the state of the same name, Brazil's third-most populous state, and the second-most populous city in Brazil, after São Paulo. Listed by the GaWC as a b ...

and gave a talk titled ''Perfectoid spaces and the homological conjectures''.

Selected publications

* * * * * Period mappings and differential equations. From C to Cp: Tohoku-Hokkaido Lectures in Arithmetic Geometry, Tokyo, Memoirs Mathematical Society of Japan 2003 (with appendix by F. Kato, N. Tsuzuki) * * *

References

External links

* * * * {{DEFAULTSORT:Andre, Yves 20th-century French mathematicians 21st-century French mathematicians Arithmetic geometers Members of Academia Europaea Pierre and Marie Curie University alumni Academic staff of the École Normale Supérieure 1959 births Living people Prix Paul Doistau–Émile Blutet laureates