Denis Auroux (born April 1977) is a French mathematician working in

geometry Geometry (; ) is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures. Geometry is, along with arithmetic, one of the oldest branches of mathematics. A mathematician w ...

and

topology Topology (from the Greek language, Greek words , and ) is the branch of mathematics concerned with the properties of a Mathematical object, geometric object that are preserved under Continuous function, continuous Deformation theory, deformat ...

Education and career

Auroux was admitted in 1993 to the

École normale supérieure (Paris) The – PSL (; also known as ENS, , Ulm or ENS Paris) is a ''grande école'' in Paris, France. It is one of the constituent members of Paris Sciences et Lettres University (PSL). Due to its selectivity, historical role, and influence within F ...

. In 1994, he received a licentiate and ''maîtrise'' in mathematics from

Paris Diderot University Paris Diderot University, also known as Paris 7 (), was a French university located in Paris, France. It was one of the inheritors of the historic University of Paris, which was split into 13 universities in 1970. Paris Diderot merged with Pari ...

(Paris 7). In 1995, he received a licentiate in physics 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 6) and passed the ''

agrégation In France, the () is the most competitive and prestigious examination for civil service in the French public education A state school, public school, or government school is a primary school, primary or secondary school that educates all stu ...

''. In 1995, he received a master's degree in mathematics from

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

with a thesis on Seiberg-Witten invariants of symplectic manifolds. In 1999, he received his doctorate from the

École polytechnique (, ; also known as Polytechnique or l'X ) is a ''grande école'' located in Palaiseau, France. It specializes in science and engineering and is a founding member of the Polytechnic Institute of Paris. The school was founded in 1794 by mat ...

with supervisors Jean-Pierre Bourguignon and Mikhael Gromov for a thesis on structure theorems for compact symplectic manifolds via almost-complex techniques. In 2003, he completed his

habilitation Habilitation is the highest university degree, or the procedure by which it is achieved, in Germany, France, Italy, Poland and some other European and non-English-speaking countries. The candidate fulfills a university's set criteria of excelle ...

at Paris-Sud University with a thesis on approximately holomorphic techniques and monodromy invariants in symplectic topology. As a postdoc, he was a

C. L. E. Moore Instructor The job title of C. L. E. Moore instructor is given by the Math Department at Massachusetts Institute of Technology to recent math Ph.D.s hired for their promise in pure mathematics research. The instructors are expected to do both teaching and res ...

at the

Massachusetts Institute of Technology The Massachusetts Institute of Technology (MIT) is a Private university, private research university in Cambridge, Massachusetts, United States. Established in 1861, MIT has played a significant role in the development of many areas of moder ...

from 1999 to 2002, where he became an assistant professor in 2002, an associate professor in 2004 (tenured in 2006), and a professor in 2009 (on leave from 2009 to 2011). From 2009 to 2018, he was a professor at the

University of California, Berkeley The University of California, Berkeley (UC Berkeley, Berkeley, Cal, or California), is a Public university, public Land-grant university, land-grant research university in Berkeley, California, United States. Founded in 1868 and named after t ...

. Since Fall 2018, he has been at

Harvard University Harvard University is a Private university, private Ivy League research university in Cambridge, Massachusetts, United States. Founded in 1636 and named for its first benefactor, the History of the Puritans in North America, Puritan clergyma ...

, where he taught

Math 55 Math 55 is a two-semester freshman undergraduate mathematics course at Harvard University founded by Lynn Loomis and Shlomo Sternberg. The official titles of the course are Studies in Algebra and Group Theory (Math 55a) and Studies in Real and Co ...

, two-semester honors undergraduate course on algebra and analysis. His research deals with

symplectic geometry Symplectic geometry is a branch of differential geometry and differential topology that studies symplectic manifolds; that is, differentiable manifolds equipped with a closed, nondegenerate 2-form. Symplectic geometry has its origins in the ...

low-dimensional topology In mathematics, low-dimensional topology is the branch of topology that studies manifolds, or more generally topological spaces, of four or fewer dimensions. Representative topics are the theory of 3-manifolds and 4-manifolds, knot theory, ...

, and

mirror symmetry In mathematics, reflection symmetry, line symmetry, mirror symmetry, or mirror-image symmetry is symmetry with respect to a Reflection (mathematics), reflection. That is, a figure which does not change upon undergoing a reflection has reflecti ...

. In 2002, he received the Prix Peccot from the

Collège de France The (), formerly known as the or as the ''Collège impérial'' founded in 1530 by François I, is a higher education and research establishment () in France. It is located in Paris near La Sorbonne. The has been considered to be France's most ...

. In 2005, he received a

Sloan Research Fellowship The Sloan Research Fellowships are awarded annually by the Alfred P. Sloan Foundation since 1955 to "provide support and recognition to early-career scientists and scholars". This program is one of the oldest of its kind in the United States. ...

. He was an invited speaker in 2010 with talk ''Fukaya Categories and bordered Heegaard-Floer Homology'' at the

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 ...

in Hyderabad and in 2004 at the European Congress of Mathematicians in Stockholm. (published in 2005 in ''Proceedings of the European Congress of Mathematics: Stockholm, June 27–July 2, 2004'')

Selected publications

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References

External links

* {{DEFAULTSORT:Auroux, Denis 1977 births Living people 20th-century French mathematicians 21st-century French mathematicians Paris Diderot University alumni École Polytechnique alumni Pierre and Marie Curie University alumni University of California, Berkeley faculty Harvard University Department of Mathematics faculty