Denis Auroux
French mathematician
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Mathematics
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(Suggest an Edit or Addition)According to Wikipedia, Denis Auroux is a French mathematician working in geometry and topology. Education and career Auroux was admitted in 1993 to the École normale supérieure. In 1994, he received a licentiate and maîtrise in mathematics from Paris Diderot University . In 1995, he received a licentiate in physics from Pierre and Marie Curie University 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.
Denis Auroux's Published Works
Published Works
- Mirror symmetry and T-duality in the complement of an anticanonical divisor (2007) (374)
- Mirror symmetry for weighted projective planes and their noncommutative deformations (2004) (220)
- Mirror symmetry for Del Pezzo surfaces: Vanishing cycles and coherent sheaves (2005) (200)
- Lagrangian fibrations on blowups of toric varieties and mirror symmetry for hypersurfaces (2012) (122)
- Luttinger surgery along Lagrangian tori and non-isotopy for singular symplectic plane curves (2002) (108)
- Asymptotically Holomorphic Families of Symplectic Submanifolds (1997) (106)
- Special Lagrangian fibrations, wall-crossing, and mirror symmetry (2009) (104)
- Singular Lefschetz pencils (2004) (99)
- A Beginner’s Introduction to Fukaya Categories (2013) (98)
- Homological mirror symmetry for punctured spheres (2011) (85)
- Symplectic 4-manifolds as branched coverings of ℂℙ2 (2000) (77)
- Fukaya categories of symmetric products and bordered Heegaard-Floer homology (2010) (73)
- Branched coverings of ℂℙ2 and invariants of symplectic 4-manifolds (2000) (55)
- Fundamental groups of complements of plane curves and symplectic invariants (2002) (51)
- Symplectic hypersurfaces in the complement of an isotropic submanifold (2001) (48)
- Fiber sums of genus 2 Lefschetz fibrations (2002) (46)
- Fukaya categories and bordered Heegaard-Floer homology (2010) (41)
- Symplectic 4-Manifolds and Algebraic Surfaces (2008) (32)
- A stable classification of Lefschetz fibrations (2004) (30)
- Lagrangian submanifolds and Lefschetz pencils (2004) (29)
- Estimated transversality in symplectic geometry and projective maps (2000) (28)
- Symplectic maps to projective spaces and symplectic invariants (2000) (27)
- Algebra, Geometry, and Physics in the 21st Century (2017) (26)
- MAPPING CLASS GROUP FACTORIZATIONS AND SYMPLECTIC 4-MANIFOLDS: SOME OPEN PROBLEMS (25)
- Lefschetz Pencils, Branched Covers and Symplectic Invariants (2004) (22)
- A Degree Doubling Formula for Braid Monodromies and Lefschetz Pencils (2006) (21)
- Sutured Khovanov homology, hochschild homology, and the Ozsváth-Szabó spectral sequence (2013) (19)
- A remark about Donaldson's construction of symplectic submanifolds (2002) (19)
- INFINITELY MANY MONOTONE LAGRANGIAN TORI IN R (2014) (15)
- Special Lagrangian fibrations, mirror symmetry and Calabi-Yau double covers (2008) (15)
- The canonical pencils on Horikawa surfaces (2006) (13)
- Regular homotopy of Hurwitz curves (2004) (13)
- Speculations on homological mirror symmetry for hypersurfaces in ( C ∗ ) n (2017) (12)
- Khovanov–Seidel quiver algebras and bordered Floer homology (2011) (12)
- Infinitely many monotone Lagrangian tori in $$\mathbb {R}^6$$R6 (2014) (12)
- Fukaya categories of surfaces, spherical objects and mapping class groups (2020) (11)
- Monodromy invariants in symplectic topology (2003) (9)
- Infinitely many monotone Lagrangian tori in R 6 (2014) (9)
- Factorizations in SL(2,Z) and simple examples of inequivalent Stein fillings (2013) (8)
- Proceedings of Gökova Geometry-Topology Conference 2010 (2001) (6)
- Some Open Questions about Symplectic 4-manifolds, Singular Plane Curves and Braid Group Factorizations (2004) (6)
- Proceedings of the Gökova Geometry-Topology Conference 2013 (2013) (3)
- Speculations on homological mirror symmetry for hypersurfaces in $(\mathbb{C}^*)^n$ (2017) (3)
- SYMPLECTIC 4-MANIFOLDS, SINGULAR PLANE CURVES, AND ISOTOPY PROBLEMS (2004) (1)
- Symplectic 4-Manifolds and Algebraic Surfaces: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, September 2-10, 2003 (2008) (1)
- Homological mirror symmetry for hypersurfaces in $(\mathbb{C}^*)^n$ (2021) (0)
- BIRS 11w5085: Interactions between contact symplectic topology and gauge theory in dimensions 3 and 4 (2011) (0)
- BIRS 09 w 5095 : Interactions of Geometry and Topology in dimensions 3 and 4 (2009) (0)
- Lagrangian fibrations on blowups of toric varieties and mirror symmetry for hypersurfaces (2016) (0)
- Coisotropic branes and homological mirror symmetry for tori (2020) (0)
- Lagrangian Floer theory for trivalent graphs and homological mirror symmetry for curves (2021) (0)
- Khovanov–Seidel quiver algebras and bordered Floer homology (2012) (0)
- BIRS 07w5033: Interactions of geometry and topology in low dimensions (2007) (0)
- Math 253 y-Symplectic Manifolds and Lagrangian Submanifolds Taught (2018) (0)
- BIRS 09w5095: Interactions of Geometry and Topology in dimensions 3 and 4 (2009) (0)
- GPP, the Generic Preprocessor (2020) (0)
- Lagrangian submanifolds and Lefschetz pencils SG/0407126 16 (2008) (0)
- Qualifying Exam Syllabus (2012) (0)
- Four-dimensional Manifolds (2006) (0)
- APPROXIMATELY HOLOMORPHIC METHODS IN SYMPLECTIC TOPOLOGY (0)
- BIRS 13w5037: Interactions of gauge theory with contact and symplectic topology in dimensions 3 and 4 (2013) (0)
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