Denis Auroux

Denis Auroux (born April 1977) is a French mathematician working in geometry and topology.

Education and career 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. 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, where he taught Math 55, two-semester honors undergraduate course on algebra and analysis.

His research deals with symplectic geometry, low-dimensional topology, and mirror symmetry.

In 2002, he received the Prix Peccot from the Collège de France. In 2005, he received a Sloan Research Fellowship. at the International Congress of Mathematicians in Hyderabad and in 2004 at the European Congress of Mathematicians in Stockholm.

He is also the author of the free and open-source handwritten note-taking software Xournal, which has been developed into Xournal++.

Selected publications