Denis Auroux

Auroux was admitted in 1993 to the École normale supérieure (Paris). In 1994, he received a licentiate and maîtrise in mathematics from Paris Diderot University (Paris 7). In 1995, he received a licentiate in physics from Pierre and Marie Curie University (Paris 6) and passed the agrégation. In 1995, he received a master's degree in mathematics from Paris-Sud University with a thesis on Seiberg-Witten invariants of symplectic manifolds. In 1999, he received his doctorate from the École polytechnique with supervisors Jean-Pierre Bourguignon and Mikhael Gromov for a thesis on structure theorems for compact symplectic manifolds via almost-complex techniques.https://www.mathgenealogy.org/id.php?id=62981 In 2003, he completed his habilitation 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 at the Massachusetts Institute of Technology 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. Since Fall 2018, he has been at Harvard University,{{cite web|title=Curriculum Vitae - Denis Auroux|website=Mathematics Department, Harvard University|url=http://people.math.harvard.edu/~auroux/cv.html}} where he taught Math 55, two-semester honors undergraduate course on algebra and analysis.{{Cite web |last=Yefremova |first=Anastasia |date=May 5, 2022 |title=Demystifying Math 55 |url=https://www.math.harvard.edu/demystifying-math-55/ |archive-url=https://web.archive.org/web/20220808194309/https://www.math.harvard.edu/demystifying-math-55/ |archive-date=August 8, 2022 |access-date=August 25, 2022 |website=Department of Mathematics, Harvard University}}

His research deals with symplectic geometry, low-dimensional topology, and mirror symmetry.{{cite web|title=Denis Auroux|website=Mathematics Department, Harvard University|url=http://people.math.harvard.edu/~auroux/cv.html}}{{cite web|title=Denis Auroux - Papers|website=Mathematics Department, Harvard University|url=http://people.math.harvard.edu/~auroux/papers/index.html}} (with links to articles in pdf format)

In 2002, he received the Prix Peccot from the Collège de France. In 2005, he received a Sloan Research Fellowship. He was an invited speaker in 2010 with talk Fukaya Categories and bordered Heegaard-Floer Homology{{cite book|author=Auroux, D.|year=2010|chapter=Fukaya categories and bordered Heegaard-Floer homology|title=Proceedings of the International Congress of Mathematicians 2010 (ICM 2010)|volume=II|pages=917–941|publisher=Hindustan Book Agency|location=New Delhi|doi=10.1142/9789814324359_0080 |arxiv=1003.2962|isbn=978-981-4324-30-4|s2cid=45582260}} at the International Congress of Mathematicians in Hyderabad and in 2004 at the European Congress of Mathematicians in Stockholm.{{cite arXiv|author=Auroux, Denis|title=Some open questions about symplectic 4-manifolds, singular plane curves, and braid group factorizations|year=2004|eprint=math/0410119}} (published in 2005 in Proceedings of the European Congress of Mathematics: Stockholm, June 27–July 2, 2004)

• {{cite journal |doi=10.1007/s002220050019 |title=Symplectic 4-manifolds as branched coverings of $\backslash mathbb\{CP\}$2 |year=2000 |last1=Auroux |first1=Denis |journal=Inventiones Mathematicae |volume=139 |issue=3 |pages=551–602 |bibcode=2000InMat.139..551A |s2cid=9954552}}
• {{cite journal |doi=10.1007/PL00005795 |title=Branched coverings of $\backslash mathbb\{CP\}$2 and invariants of symplectic 4-manifolds |year=2000 |last1=Auroux |first1=Denis |last2=Katzarkov |first2=Ludmil |journal=Inventiones Mathematicae |volume=142 |issue=3 |pages=631–673 |bibcode=2000InMat.142..631A |s2cid=40984397}}
• {{cite journal |arxiv=math/0410332 | doi=10.2140/gt.2005.9.1043 |title=Singular Lefschetz pencils |year=2005 |last1=Auroux |first1=Denis |last2=Donaldson |first2=Simon K. |author2-link=Simon Donaldson |last3=Katzarkov |first3=Ludmil |journal=Geometry & Topology |volume=9 |issue=2 |pages=1043–1114 |s2cid=2364993|doi-access=free }}
• {{cite journal |doi=10.1007/s00222-006-0003-4 |title=Mirror symmetry for del Pezzo surfaces: Vanishing cycles and coherent sheaves |year=2006 |last1=Auroux |first1=Denis |last2=Katzarkov |first2=Ludmil |last3=Orlov |first3=Dmitri |journal=Inventiones Mathematicae |volume=166 |issue=3 |pages=537–582 |arxiv=math/0506166 |bibcode=2006InMat.166..537A |s2cid=5322441}}
• {{cite journal |jstor=40345366 |last1=Auroux |first1=Denis |last2=Katzarkov |first2=Ludmil |last3=Orlov |first3=Dmitri |title=Mirror Symmetry for Weighted Projective Planes and Their Noncommutative Deformations |journal=Annals of Mathematics |year=2008 |volume=167 |issue=3 |pages=867–943 |doi=10.4007/annals.2008.167.867 |s2cid=6989346|doi-access=free |arxiv=math/0404281 }}
• {{cite book |arxiv=math/0401021 |last1=Auroux |first1=Denis |last2=Smith |first2=Ivan |author2-link=Ivan Smith (mathematician) |chapter=Lefschetz pencils, branched covers and symplectic invariants |year=2008 |title=Symplectic 4-manifolds and algebraic surfaces (Cetraro, 2003) |series=Lecture Notes in Mathematics |volume=1938 |publisher=Springer |pages=1–53}}
• {{cite journal |arxiv=0902.1595 |last1=Auroux |first1=Denis |title=Special Lagrangian fibrations, wall-crossing, and mirror symmetry |year=2009 |journal=Surveys in Differential Geometry |volume=13 |pages=1–47|doi=10.4310/SDG.2008.v13.n1.a1 |s2cid=15635047 }}
• {{cite arXiv |eprint=1301.7056 |last1=Auroux |first1=Denis |title=A beginner's introduction to Fukaya categories |year=2013 |class=math.SG}}
• {{cite journal |doi=10.1090/S0894-0347-2013-00770-5 |title=Homological mirror symmetry for punctured spheres |year=2013 |last1=Abouzaid |first1=Mohammed |last2=Auroux |first2=Denis |last3=Efimov |first3=Alexander I. |last4=Katzarkov |first4=Ludmil |last5=Orlov |first5=Dmitri |journal=Journal of the American Mathematical Society |volume=26 |issue=4 |pages=1051–1083 |arxiv=1103.4322 |s2cid=32592919}}

• {{cite web|title=Denis Auroux|website=Mathematics Department, Harvard University|url=http://people.math.harvard.edu/~auroux/index.html}}

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Category:1977 births

Category:Living people

Category:20th-century French mathematicians

Category:21st-century French mathematicians

Category:Paris Diderot University alumni

Category:École Polytechnique alumni

Category:Pierre and Marie Curie University alumni

Category:University of California, Berkeley faculty

Category:Harvard University Department of Mathematics faculty