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 varieties. ...

Biography

André received his doctorate in 1984 from

Pierre and Marie Curie University Pierre and Marie Curie University ( , UPMC), also known as Paris VI, was a public research university in Paris, France, from 1971 to 2017. The university was located on the Jussieu Campus in the Latin Quarter of the 5th arrondissement of Paris, ...

(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 (, , CNRS) is the French state research organisation and is the largest fundamental science agency in Europe. In 2016, it employed 31,637 staff, including 11,137 tenured researchers, 13,415 eng ...

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

École Normale Supérieure École or Ecole may refer to: * an elementary school in the French educational stages normally followed by Secondary education in France, secondary education establishments (collège and lycée) * École (river), a tributary of the Seine flowing i ...

and

Institut de mathématiques de Jussieu – Paris Rive Gauche The Mathematics Institute of Jussieu–Paris Rive Gauche (, , IMJ-PRG) is a French research institute in fundamental mathematics. It is a "mixed research unit", with three parent organizations: the Centre national de la recherche scientifique, S ...

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 University of Melbourne in 1984. He was awarded ...

in 2009. In 2016, André used Scholze's method of perfectoid spaces 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 Emeritus of Mathematics at the University of Michigan. Education Hochs ...

'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 of the

Académie des Sciences The French Academy of 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 method, scientific research. It was at the forefron ...

. 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 and judged during a peer review selecti ...

. 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 IMU Abacus Medal (known before ...

Rio de Janeiro Rio de Janeiro, or simply Rio, is the capital of the Rio de Janeiro (state), state of Rio de Janeiro. It is the List of cities in Brazil by population, second-most-populous city in Brazil (after São Paulo) and the Largest cities in the America ...

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