Denis Auroux

Denis Auroux

Professor of Mathematics
Department of Mathematics, Faculty of Arts and Sciences
Denis Auroux Photo

Denis Auroux is a mathematician whose research studies the geometry and topology of symplectic manifolds, with a particular focus on mirror symmetry. Over the past decade Auroux has obtained pioneering results on the homological mirror symmetry conjecture and its extension beyond the Calabi-Yau setting. He is one of the PIs in the Simons Collaboration on Homological Mirror Symmetry, a large-scale effort involving 8 institutions which aims to solve the deepest questions in this fast-moving area of mathematics.

After studying at Ecole Normale Supérieure in Paris and obtaining his PhD in 1999 from Ecole Polytechnique (France), Auroux was employed as Chargé de Recherche at CNRS and CLE Moore Instructor at MIT, before joining the faculty at MIT in 2002 (as Assistant Professor from 2002 to 2004, and as Associate Professor from 2004 to 2009, with tenure starting in 2006). He then moved to UC Berkeley as a Full Professor in 2009, before joining the Harvard faculty in 2018.

Auroux has published 35 peer-reviewed articles and given nearly 300 invited presentations about his work. He received an Alfred P. Sloan Research Fellowship in 2005, was an invited speaker at the 2010 International Congress of Mathematicians, and in 2014 he was one of the two inaugural recipients of the Poincaré Chair at IHP in Paris. He has supervised 11 PhD dissertations, won teaching awards at MIT and Berkeley, and participated in the organization of 35 workshops and conferences in symplectic geometry and mirror symmetry.

Selected publications:

  • D. Auroux, Symplectic 4-manifolds as branched coverings of CP^2. Inventiones Math. 139 (2000), 551-602.
     
  • D. Auroux, S. K. Donaldson, L. Katzarkov, Singular Lefschetz pencils. Geom. Topol. 9 (2005), 1043-1114.
     
  • D. Auroux, Mirror symmetry and T-duality in the complement of an anticanonical divisor. J. Gökova Geom. Topol. 1 (2007), 51-91.
     
  • D. Auroux, L. Katzarkov, D. Orlov, Mirror symmetry for weighted projective planes and their noncommutative deformations. Ann. Math. 167 (2008), 867-943.
     
  • M. Abouzaid, D. Auroux, A. Efimov, L. Katzarkov, D. Orlov, Homological mirror symmetry for punctured spheres. J. Amer. Math. Soc. 26 (2013), 1051-1083.
     
  • D. Auroux, Infinitely many monotone Lagrangian tori in R^6. Inventiones Math. 201 (2015), 909-924.
     
  • M. Abouzaid, D. Auroux, L. Katzarkov, Lagrangian fibrations on blowups of toric varieties and mirror symmetry for hypersurfaces. Publ. Math. IHES 123 (2016), 199-282.