Address:
Department of Mathematics Harvard University Science Center 539 1 Oxford Street Cambridge, MA 02138, USA |
Fax: (1) 617 495 5132 e-mail: auroux@math.harvard.edu |
Date of birth: April 1977 (Lyon, France)
1991 | Baccalauréat (High school degree), Science | |
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1993 | Admitted to Ecole Normale Supérieure, Paris (rank 1st) | |
1994 | Licence (equiv. B.S.), Mathematics, Université Paris VII | |
1994 | Maîtrise (equiv. B.S.), Pure Mathematics, Université Paris VII | |
1995 | Licence (equiv. B.S.), Physics, Université Paris VI (mention T.B.) | |
1995 | Agrégation (French advanced teaching qualification exam), Mathematics (rank 2nd) | |
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1995 |
Diplôme d'Etudes Approfondies (equiv. M.S.), Pure Mathematics,
Université Paris-Sud
(mention T.B.) Thesis subject: Seiberg-Witten invariants of symplectic manifolds | |
1999 |
Doctorat (Ph.D.), Mathematics, Ecole Polytechnique Thesis subject: Structure theorems for compact symplectic manifolds via almost-complex techniques (degree completed Jan 22, 1999; advisors: J.P. Bourguignon and M. Gromov) | |
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2003 |
Habilitation à Diriger les Recherches, Mathematics, Université
Paris-Sud Thesis subject: Approximately holomorphic techniques and monodromy invariants in symplectic topology (degree completed June 24, 2003) |
1999-2002 | C.L.E. Moore Instructor, Massachusetts Institute of Technology. |
2000-2003 | CNRS Chargé de Recherches (research position), Ecole Polytechnique (France). |
2002-2004 | Assistant Professor of Mathematics, Massachusetts Institute of Technology. |
2004-2009 |
Associate Professor of Mathematics, Massachusetts Institute of Technology.
(with tenure starting July 1, 2006) |
2009-2011 | Professor of Mathematics, Massachusetts Institute of Technology (on leave). |
2009-2018 | Professor of Mathematics, University of California, Berkeley. |
2018- | Professor of Mathematics, Harvard University |
2023- | Herchel Smith Professor of Mathematics, Harvard University |
Fall 2014 | Poincaré Chair, Institut Henri Poincaré, Paris |
Fall 2016 | Eilenberg Chair, Columbia University, New York |
Spring 2017 | Institute for Advanced Study, Princeton |
2022-23 | IHÉS, Bures-sur-Yvette, France |
1999 | Prix de Thèse (PhD dissertation award), Ecole Polytechnique |
2002 | Prix Peccot (Collège de France, Paris) |
2005 | Alfred P. Sloan Research Fellowship |
2005 | Salomon Bochner Lectures, Rice University, Houston |
2006 | Teaching Prize for Undergraduate Education, MIT School of Science |
2010 | Invited speaker, International Congress of Mathematicians |
2011 | AMS Invited Address, Joint Mathematics Meetings |
2014 | Donald S. Noyce Prize for Excellence in Undergraduate Teaching, UC Berkeley |
2014 | Poincaré Chair (Institut Henri Poincaré, Paris) |
2016 | Eilenberg Chair, Columbia University |
Symplectic geometry, low-dimensional topology, mirror symmetry
2003-2006 |
National Science Foundation research grant DMS-0244844 "Approximately holomorphic techniques and monodromy invariants in symplectic topology" |
2005-2007 | Alfred P. Sloan Research Fellowship |
2006-2010 |
National Science Foundation research grant DMS-0600148 "Lefschetz fibrations in symplectic topology and applications to homological mirror symmetry" |
2007-2011 |
NSF Focused Research Group grant DMS-0652630 "FRG: Collaborative Research: Homological mirror symmetry and its applications" |
2010-2014 |
National Science Foundation research grant DMS-1007177 "Floer homology, low-dimensional topology, and mirror symmetry" |
2013-2016 |
NSF Focused Research Group grant DMS-1264662 "FRG: Collaborative Research: Wall-crossings in geometry and physics" |
2014-2015 | Simons Fellowship in Mathematics |
2014-2017 |
National Science Foundation research grant DMS-1406274 "Lagrangian Floer homology and the geometry of homological mirror symmetry" |
2015-2023 |
Simons Collaboration in Mathematics and the Physical Sciences "Homological mirror symmetry and applications" |
2017-2022 |
National Science Foundation research grant DMS-1702049 / DMS-1937869 "Admissible Lagrangians, Fukaya categories, and homological mirror symmetry" |
2022-2025 |
National Science Foundation research grant DMS-2202984 "Partially wrapped Fukaya categories and functoriality in mirror symmetry" |
1997-1999 | Recitations in Undergraduate Mathematics (Univ. Cergy-Pontoise) |
Fall 1999 | Recitations in Multivariable Calculus (18.02), M.I.T. |
Spring 2001 | Recitations in Multivariable Calculus (18.02), M.I.T. |
Fall 2001 |
Undergraduate Analysis (18.100B), M.I.T.
Recitations in Multivariable Calculus (18.02), M.I.T. |
Spring 2002 | Topics in Symplectic Topology (18.969), M.I.T. |
Spring 2003 | Graduate Symplectic Topology, Univ. Paris-Sud. |
Fall 2003 | Multivariable Calculus (~300 students, 18.02), M.I.T. |
Spring 2004 | Graduate Symplectic Topology (18.966), M.I.T. |
Fall 2004 | Multivariable Calculus (~300 students, 18.02), M.I.T. |
Spring 2005 | Undergraduate Analysis (18.100B), M.I.T. |
Spring 2006 | Topics in Geometric Topology (18.937), M.I.T. |
Fall 2006 | Multivariable Calculus (~300 students, 18.02), M.I.T. |
Spring 2007 | Graduate Symplectic Topology (18.966), M.I.T. |
Fall 2007 |
Multivariable Calculus (~330 students, 18.02), M.I.T.
(course materials and lecture videos available online at ocw.mit.edu) |
Spring 2008 | Graduate Symplectic Topology (18.966), M.I.T. |
Fall 2008 | Multivariable Calculus (~350 students, 18.02), M.I.T. |
Spring 2009 | Topics in Geometry (18.969), M.I.T. |
Fall 2009 | Topics in Differential Geometry (Math 277), UC Berkeley |
Spring 2010 |
Introduction to Abstract Algebra (Math 113), UC Berkeley
Complex Manifolds (Math 241), UC Berkeley |
Fall 2010 |
Multivariable Calculus (~450 students, Math 53), UC Berkeley
Symplectic Geometry (Math 242), UC Berkeley |
Spring 2011 | Complex Manifolds (Math 241), UC Berkeley |
Fall 2011 | Multivariable Calculus (~500 students, Math 53), UC Berkeley |
Spring 2012 | Algebraic Topology (Math 215B), UC Berkeley |
Fall 2013 | Multivariable Calculus (~470 students, Math 53), UC Berkeley |
Spring 2016 | Multivariable Calculus (~430 students, Math 53), UC Berkeley |
Fall 2017 | Multivariable Calculus (~450 students, Math 53), UC Berkeley |
Fall 2018 | Symplectic manifolds and Lagrangian submanifolds (Math 253y), Harvard |
Spring 2019 | Introduction to Real Analysis (Math 112), Harvard |
Fall 2019 | Topological Spaces and Fundamental Group (Math 131), Harvard |
Fall 2020 | Math 55a: Studies in Algebra and Group Theory, Harvard |
Spring 2021 | Math 55b: Studies in Real and Complex Analysis, Harvard |
Fall 2021 | Math 55a: Studies in Algebra and Group Theory, Harvard |
Spring 2022 | Math 55b: Studies in Real and Complex Analysis, Harvard |
Fall 2023 | Topological Spaces and Fundamental Group (Math 131), Harvard |
Spring 2024 | Vector Calculus (Math 22b), Harvard |
Fall 2024 | Math 55a: Studies in Algebra and Group Theory, Harvard |
Spring 2025 | Math 55b: Studies in Real and Complex Analysis, Harvard |
Construction de sous-variétés symplectiques, d'après Donaldson.
Asymptotically holomorphic families of symplectic submanifolds.
Familles de sous-variétés symplectiques et pinceaux de Lefschetz symplectiques.
Autour des travaux de Donaldson sur les pinceaux de Lefschetz symplectiques.
Familles de sous-variétés symplectiques.
Symplectic submanifolds and Lefschetz pencils.
Symplectic submanifolds and Lefschetz pencils.
Variétés symplectiques de dimension 4 et revêtements ramifiés de CP2.
Variétés symplectiques de dimension 4 et revêtements ramifiés de CP2.
Variétés symplectiques de dimension 4 et revêtements ramifiés de CP2.
Variétés symplectiques de dimension 4 et revêtements ramifiés de CP2.
Variétés symplectiques de dimension 4 et revêtements ramifiés de CP2.
Symplectic 4-manifolds and branched coverings of CP2.
Symplectic maps to CP2.
Invariants de Seiberg-Witten en géométrie symplectique.
Variétés symplectiques de dimension 4 et revêtements ramifiés de CP2.
Branched coverings of CP2 and invariants of symplectic 4-manifolds.
Approximately holomorphic constructions in symplectic geometry.
Symplectic 4-manifolds and branched coverings of CP2.
Symplectic 4-manifolds and branched coverings of CP2.
Branched coverings of CP2 and invariants of symplectic 4-manifolds.
Symplectic 4-manifolds, branched coverings of CP2 and braid group invariants.
The degree doubling formula for braid monodromies and symplectic Lefschetz pencils.
Symplectic Lefschetz pencils, branched coverings and degree doubling formulas.
Symplectic Lefschetz pencils, branched coverings and degree doubling formulas.
Formule de doublement du degré pour les pinceaux de Lefschetz.
Approximately holomorphic techniques in symplectic geometry.
Symplectic maps to projective spaces and applications.
Symplectic maps to projective spaces and symplectic invariants.
Estimated transversality in symplectic geometry and projective maps.
Tas d'oranges, cristaux, et problèmes d'empilements. (talk for a general audience)
Estimated transversality in symplectic geometry and projective maps.
Estimated transversality, projective maps and invariants of symplectic manifolds.
Estimated transversality, projective maps and invariants of symplectic manifolds.
Estimated transversality, projective maps and invariants of symplectic manifolds.
Projective maps and invariants of symplectic manifolds.
Projective maps and symplectic invariants.
Projective maps and invariants of symplectic 4-manifolds.
Projective maps and symplectic invariants.
Projective maps and symplectic invariants.
Projective maps and symplectic invariants.
Symplectic manifolds, maps to projective spaces, and monodromy invariants.
Symplectic manifolds, maps to projective spaces, and monodromy invariants.
Maps to CP2 and invariants of symplectic manifolds.
Projective maps and symplectic invariants.
Estimated transversality in symplectic geometry and projective maps.
Approximately holomorphic techniques in symplectic topology.
Symplectic manifolds, maps to CP2 and branch curve complements.
Fundamental groups of plane curve complements and symplectic invariants.
Techniques approximativement holomorphes et invariants de variétés symplectiques.
Applications projectives et invariants des variétés symplectiques.
Projective maps, branch curves and symplectic invariants.
Applications projectives, courbes de ramification et invariants symplectiques.
Projective maps, branch curves and symplectic invariants.
Singular plane curves and topological invariants of symplectic manifolds.
Singular plane curves and topological invariants of symplectic manifolds.
Singular plane curves and topological invariants of symplectic manifolds.
Singular plane curves and symplectic manifolds.
Singular plane curves and symplectic 4-manifolds.
Singular plane curves and symplectic 4-manifolds.
Singular plane curves and symplectic invariants.
Approximately holomorphic methods in symplectic geometry.
Singular plane curves and symplectic 4-manifolds.
Fundamental groups of complements of plane curves and symplectic invariants.
Courbes planes et invariants de variétés symplectiques.
Courbes planes et invariants de variétés symplectiques.
Singular plane curves and symplectic manifolds.
Branched coverings, Luttinger surgery and non-isotopy.
Symplectic 4-manifolds and singular plane curves.
Variétés symplectiques et courbes planes singulières.
Monodromy invariants in symplectic topology.
Monodromy invariants in symplectic topology.
Singular plane curves and symplectic 4-manifolds.
Homological mirror symmetry for weighted projective planes.
Homological mirror symmetry for weighted projective planes.
Lefschetz fibrations in homological mirror symmetry: an example.
Symétrie miroir homologique pour les plans projectifs à poids.
Lefschetz fibrations and open books in symplectic and contact geometry.
Lefschetz pencils, branched covers and symplectic invariants.
Lefschetz fibrations in homological mirror symmetry.
Singular Lefschetz pencils on smooth 4-manifolds.
Lefschetz fibrations in homological mirror symmetry.
Lagrangian submanifolds, Lefschetz pencils and homological mirror symmetry.
Homological mirror symmetry for Fano surfaces.
Homological mirror symmetry for Fano surfaces.
Homological mirror symmetry for Fano surfaces.
Structures presque symplectiques et pinceaux de Lefschetz en dimension 4.
Lefschetz fibrations and mirror symmetry for Fano surfaces.
Near symplectic structures and Lefschetz pencils on smooth 4-manifolds.
Lefschetz fibrations, vanishing cycles and mirror symmetry.
Near symplectic structures and Lefschetz pencils on smooth 4-manifolds.
Homological mirror symmetry for Fano surfaces.
Homological mirror symmetry for Fano varieties.
Near symplectic structures and Lefschetz pencils on smooth 4-manifolds.
Introduction à la symétrie miroir homologique pour les variétés de Fano.
Symétrie miroir pour les plans projectifs à poids.
Symplectic 4-manifolds, singular plane curves, and isotopy problems.
Symplectic 4-manifolds, singular plane curves, and isotopy problems.
Homological mirror symmetry for Fano surfaces.
Homological mirror symmetry for Fano surfaces.
Homological mirror symmetry for Fano surfaces.
Homological mirror symmetry for rational surfaces.
Symplectic 4-manifolds, mapping class groups, and braid groups.
Lefschetz fibrations, plane curves, surgeries, and fiber sums.
Symplectic 4-manifolds, mapping class groups, and fiber sums.
Braid monodromy, plane curves, and symplectic 4-manifolds.
Fiber sums of Lefschetz fibrations.
Homological mirror symmetry for Del Pezzo surfaces.
Symplectic 4-manifolds, Lefschetz fibrations and mapping class groups.
Symplectic 4-manifolds, Lefschetz fibrations and mapping class groups.
Symplectic 4-manifolds and mapping class group factorizations.
Near symplectic structures and Lefschetz pencils on smooth 4-manifolds.
Homological mirror symmetry for Fano surfaces.
Symplectic 4-manifolds, mapping class groups, and fiber sums.
Mirror symmetry for blowups of CP2.
Fiber sum stabilization of Lefschetz fibrations.
Symplectic 4-manifolds and mapping class group factorizations.
Fiber sums of Lefschetz fibrations.
Fiber sums of Lefschetz fibrations.
Symplectic 4-manifolds and singular plane curves.
Fiber sums of Lefschetz fibrations.
Homological mirror symmetry for blowups of CP2.
Fiber sums of Lefschetz fibrations.
Homological mirror symmetry for blowups of CP2.
Singular Lefschetz pencils on near-symplectic 4-manifolds.
Homological mirror symmetry for blowups of CP2.
Symplectic 4-manifolds, mapping class group factorizations, and fiber sums of Lefschetz fibrations.
Symplectic 4-manifolds and singular plane curves.
Symplectic 4-manifolds and Lefschetz fibrations.
Monodromy techniques in symplectic topology.
Isotopy problems for singular plane curves and symplectic 4-manifolds.
Near-symplectic structures and Lefschetz pencils on smooth 4-manifolds.
Homological mirror symmetry for Del Pezzo surfaces.
How to not distinguish two complex surfaces.
Sphere packings, crystals, and error-correcting codes.
Homological mirror symmetry for blowups of CP2.
Mapping class group factorizations and Lefschetz fibrations.
Near symplectic structures and Lefschetz pencils on smooth 4-manifolds.
Mapping class group factorizations and fiber sums of Lefschetz fibrations.
Homological mirror symmetry for blowups of CP2.
Lefschetz pencils and the symplectic topology of complex surfaces.
Degree doubling for Lefschetz pencils.
The canonical Lefschetz pencils of Horikawa surfaces.
Lefschetz pencils and the symplectic topology of complex surfaces.
Homological mirror symmetry for Del Pezzo surfaces.
The canonical pencils of Horikawa surfaces.
Lefschetz pencils and the symplectic topology of complex surfaces.
Homological mirror symmetry for blowups of CP2.
Peut-on distinguer symplectiquement les surfaces d'Horikawa?
Introduction to Fukaya categories of Landau-Ginzburg models.
Homological mirror symmetry for blowups of CP2.
Homological mirror symmetry for blowups of CP2.
Homological mirror symmetry for blowups of CP2.
Mirror symmetry in the complement of an anticanonical divisor.
Tores lagrangiens dans le complémentaire d'un diviseur anticanonique et symétrie miroir.
Mirror symmetry in the complement of an anticanonical divisor.
Lagrangian submanifolds and mirror symmetry.
Mirror symmetry in the complement of an anticanonical divisor.
Mirror symmetry in the complement of an anticanonical divisor.
Mirror symmetry in the complement of an anticanonical divisor.
Mirror symmetry in the complement of an anticanonical divisor.
Tores lagrangiens et symétrie miroir.
Mirror symmetry in the complement of an anticanonical divisor.
Relative Fukaya categories and relative homological mirror symmetry.
Special Lagrangian fibrations, instanton corrections and mirror symmetry.
Special Lagrangian tori and mirror symmetry.
Special Lagrangian fibrations and mirror symmetry.
Special Lagrangian fibrations and mirror symmetry.
Special Lagrangian tori and mirror symmetry.
Special Lagrangian fibrations and mirror symmetry.
The SYZ conjecture: Lagrangian fibrations in mirror symmetry.
Mirror symmetry for blowups.
Special Lagrangian fibrations and mirror symmetry.
Broken Lefschetz fibrations on smooth 4-manifolds.
Special Lagrangian fibrations and mirror symmetry.
Broken Lefschetz fibrations on smooth 4-manifolds.
Lagrangian fibrations and mirror symmetry.
Special Lagrangian fibrations and mirror symmetry.
Special Lagrangian fibrations and mirror symmetry.
La conjecture de Weinstein en dimension 3 (d'après Taubes).
Mirror symmetry for blowups.
Lagrangian fibrations and mirror symmetry.
Fukaya categories of symmetric products and bordered Heegaard-Floer homology.
Fukaya categories of symmetric products and bordered Heegaard-Floer homology.
Mirror symmetry for blowups.
Fukaya categories of symmetric products and bordered Heegaard-Floer homology.
Landau-Ginzburg models and mirror symmetry.
Fukaya categories and Heegaard-Floer homology.
Mirror symmetry for Hirzebruch surfaces via wall-crossing.
Fukaya categories of symmetric products and bordered Heegaard-Floer homology.
Lagrangian torus fibrations and mirror symmetry.
Lagrangian torus fibrations and mirror symmetry.
Lefschetz fibrations and symplectic 4-manifolds.
Some tropical aspects of mirror symmetry.
Fukaya categories of symmetric products and bordered Heegaard-Floer homology.
Fukaya categories in bordered Heegaard-Floer homology.
Fukaya categories of symmetric products and bordered Heegaard-Floer homology.
Fukaya categories and bordered Heegaard-Floer homology.
Special Lagrangian fibrations and mirror symmetry.
Fibrations lagrangiennes et symétrie miroir.
Symétrie miroir pour les hypersurfaces de type général.
Catégories de Fukaya de produits symétriques et homologie de Heegaard-Floer.
Lagrangian torus fibrations and mirror symmetry.
SYZ for blowups and mirror symmetry for hypersurfaces in toric varieties.
Fukaya categories of symmetric products and bordered Heegaard-Floer homology.
Lagrangian torus fibrations and mirror symmetry.
Mirror symmetry for blowups and hypersurfaces in toric varieties.
Mirror symmetry for blowups and hypersurfaces in toric varieties.
Fukaya categories of symmetric products and bordered Heegaard-Floer homology.
Special Lagrangian torus fibrations and mirror symmetry.
Fukaya categories of symmetric products and bordered Heegaard-Floer homology.
Mirror symmetry for blowups and hypersurfaces in toric varieties.
Mirror symmetry for blowups and hypersurfaces in toric varieties.
Fukaya categories and bordered Heegaard-Floer homology.
Fukaya categories of symmetric products and bordered Heegaard-Floer homology.
Fukaya categories of symmetric products and bordered Heegaard-Floer homology.
Sur la symétrie miroir pour les surfaces de Riemann non compactes.
The symplectic geometry of symmetric products and invariants of 3-manifolds with boundary.
Bordered Heegaard-Floer homology and the symplectic geometry of symmetric products.
Mirror symmetry for noncompact Riemann surfaces.
Wrapped Fukaya categories of punctured spheres and homological mirror symmetry.
Mirror symmetry for open manifolds.
Seeing into the fourth dimension (undergraduate talk).
Building 3-manifold invariants by composing correspondences.
Mirror symmetry in complex dimension 1.
An introduction to Fukaya categories.
Symmetric products, correspondences, and invariants of 3-manifolds with boundary.
Mirror symmetry for noncompact Riemann surfaces.
Mirror symmetry for open manifolds.
Mirror symmetry for open Riemann surfaces.
Lagrangian fibrations and mirror symmetry for open manifolds.
Mirror symmetry in complex dimension 1.
Lagrangian fibrations on conic bundles and mirror symmetry for hypersurfaces.
Homological mirror symmetry for punctured spheres.
SYZ mirror symmetry and Landau-Ginzburg models.
Lagrangian fibrations on blowups of toric varieties and mirror symmetry for hypersurfaces.
Mirror symmetry for affine hypersurfaces.
Mirror symmetry in complex dimension 1.
Mirror symmetry in complex dimension 1.
Mirror symmetry in complex dimension 1.
SYZ mirror symmetry and the quantum A-polynomial of the unknot.
Mirror symmetry in complex dimension 1.
Some geometric aspects of mirror symmetry.
Homological mirror symmetry for hypersurfaces in (C*)n.
Homological mirror symmetry for the pair of pants.
Monotone Lagrangian tori.
Homological mirror symmetry for the pair of pants.
Towards homological mirror symmetry for affine varieties.
SYZ mirror symmetry and exotic Lagrangian tori.
A plethora of Lagrangian tori.
Monotone Lagrangian tori and tropical geometry.
A plethora of Lagrangian tori.
New constructions of monotone Lagrangian tori.
Lagrangian tori in conic bundles and mirror symmetry for affine hypersurfaces.
Deux nouvelles constructions de tores Lagrangiens monotones.
Deux nouvelles constructions de tores Lagrangiens monotones.
Symétrie miroir homologique pour les hypersurfaces affines.
Symétrie miroir homologique pour les surfaces de Riemann ouvertes.
Towards homological mirror symmetry for hypersurfaces in (C*)N.
Two new constructions of monotone Lagrangian tori.
Two new constructions of monotone Lagrangian tori.
Partially wrapped Fukaya categories.
The geometry of Lagrangian tori.
Two new constructions of monotone Lagrangian tori.
Two new constructions of monotone Lagrangian tori.
Lagrangian tori, wall-crossing and mirror symmetry.
Towards HMS for hypersurfaces in (C*)^n and toric varieties.
Towards homological mirror symmetry for hypersurfaces in toric varieties.
SYZ mirror symmetry in the complement of a divisor and regular functions on the mirror.
Lagrangian tori: why so many?
Homological mirror symmetry: cylinders, pants and beyond.
Some aspects of HMS for hypersurfaces.
Towards homological mirror symmetry for hypersurfaces in toric varieties.
Homological mirror symmetry: cylinders and pairs of pants.
Lagrangian tori, mutations and toric degenerations.
Lagrangian tori, mutations and toric degenerations.
Monotone Lagrangian tori in vector spaces and projective spaces.
Monotone Lagrangian tori in vector spaces and projective spaces.
Towards homological mirror symmetry for complete intersections in toric varieties.
HMS for the pair of pants and speculations on HMS for affine hypersurfaces.
New constructions of monotone Lagrangian tori.
Speculations on homological mirror symmetry for affine hypersurfaces.
Speculations on homological mirror symmetry for hypersurfaces in (C*)n.
Speculations on homological mirror symmetry for affine hypersurfaces.
Speculations on homological mirror symmetry for affine hypersurfaces.
Admissibility and Fukaya categories of toric Landau-Ginzburg models.
Towards relative HMS for hypersurfaces and their complements.
Symplectic 4-manifolds and branched covers of CP2.
La symétrie miroir homologique en dimension 1.
An invitation to mirror symmetry / Lagrangian torus fibrations and SYZ / HMS by examples.
Non-Kahler mirror symmetry: the Hopf surface.
An invitation to homological mirror symmetry.
An invitation to homological mirror symmetry.
Fukaya categories and mirror symmetry: cylinders, pants and beyond.
Fukaya categories and singularities.
Lagrangian Floer theory in trivalent configurations of curves.
An invitation to homological mirror symmetry.
An invitation to homological mirror symmetry.
Coisotropic branes and homological mirror symmetry for tori.
Mirrors of curves and their Fukaya categories.
Coisotropic branes and homological mirror symmetry for tori.
Mirrors of curves and their Fukaya categories.
Lagrangian Floer theory for trivalent graphs and HMS for curves.
Mirrors of curves and their Fukaya categories.
Structural aspects of Fukaya categories of LG models.
An invitation to homological mirror symmetry.
Symplectic Landau-Ginzburg models and their Fukaya categories.
Fukaya categories of Landau-Ginzburg models and homological mirror symmetry.
Lagrangian Floer theory for trivalent graphs and HMS for curves.
Lagrangian Floer theory for trivalent graphs and HMS for curves.
Lagrangian Floer theory and analytic functions on Riemann surfaces.
Lagrangian Floer theory and analytic functions on Riemann surfaces.
Fukaya categories and functoriality in mirror symmetry.
Fukaya categories of Landau-Ginzburg models and functoriality in mirror symmetry.
Catégories de Fukaya et symétrie miroir homologique pour les surfaces de Riemann.
Fukaya categories of Landau-Ginzburg models and homological mirror symmetry.
Fukaya categories of Landau-Ginzburg models and homological mirror symmetry.
Catégories de Fukaya et symétrie miroir homologique pour les surfaces de Riemann.
Fonctions analytiques et homologie de Floer pour les surfaces de Riemann et leurs miroirs.
Functions on curves from Lagrangian Floer theory on their mirrors.
Catégories de Fukaya et symétrie miroir homologique pour les surfaces de Riemann.
Holomorphic discs of negative Maslov index and extended deformations in mirror symmetry.
Floer-theoretic corrections to the geometry of moduli spaces of Lagrangian tori.
Deformations of Landau-Ginzburg models and their singularity spectra.
Holomorphic discs of negative Maslov index and extended deformations in mirror symmetry.
Holomorphic discs and extended deformations in mirror symmetry.
Holomorphic discs of negative Maslov index and extended deformations in mirror symmetry.
Floer-theoretic corrections to the geometry of moduli spaces of Lagrangian tori.
An update on SYZ mirror symmetry and family Floer theory.