Denis Auroux

Curriculum Vitae - Denis Auroux

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Address:

Department of Mathematics
University of California, Berkeley
817 Evans Hall
Berkeley, CA 94720-3840
USA

Fax: (1) 510 642 8204
e-mail: auroux@math.berkeley.edu

Date of birth: April 1977 (Lyon, France)

Education and Degrees

1991

Baccalauréat (High school degree), Science

Undergraduate studies: Ecole Normale Supérieure, Paris, France

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)

Graduate studies: Université Paris-Sud and Ecole Polytechnique, France

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)

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)

Appointments

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-	Professor of Mathematics, University of California, Berkeley.

Honors

1999	Prix de Thèse (PhD dissertation award), Ecole Polytechnique
2002	Prix Peccot (Collège de France, Paris)
2005	Alfred P. Sloan Research Fellowship
2006	Teaching Prize for Undergraduate Education, MIT School of Science
2010	Invited speaker, International Congress of Mathematicians
2011	AMS Invited Address, Joint Mathematics Meetings

Research Interests

Symplectic geometry, low-dimensional topology, mirror symmetry

Research Contracts and Grants

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"

Teaching Experience

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

Ph.D. Students supervised

Sandra Francisco: "Symplectic isotopy for cuspidal curves" (co-supervision with Gang Tian; MIT, PhD 2005)
Maksim Maydanskiy: "Exotic symplectic manifolds from Lefschetz fibrations" (MIT, PhD 2009)
Yankı Lekili: "Broken Lefschetz fibrations, Lagrangian matching invariants and Ozsváth-Szabó invariants" (MIT, PhD 2009)
Aleksandar Subotic: "A monoidal structure for the Fukaya category" (Harvard, PhD 2010)
James Pascaleff: "Floer cohomology in the mirror of the projective plane and a binodal cubic curve" (MIT, PhD 2011)
Tova Brown: "Bordered Heegaard Floer homology and four-manifolds with corners" (MIT, PhD 2011)
Sheel Ganatra: "Symplectic cohomology and duality for the wrapped Fukaya category" (MIT, PhD 2012)
Renato Vianna (UC Berkeley, in progress)
Zack Sylvan (UC Berkeley, in progress)
Heather Lee (UC Berkeley, in progress)

Postdoctoral researchers mentored

Yaron Ostrover, 2006-2009, CLE Moore Instructor, MIT
Andrew Putman, 2008-2009, CLE Moore Instructor, MIT
Helge Ruddat, 2010-2011, Postdoctoral Scholar, UC Berkeley
Jonathan Williams, 2010-2011, IAS Postdoctoral Fellow, UC Berkeley
Sikimeti Ma'u, 2011-2012, RTG Visiting Assistant Professor, UC Berkeley
Rumen Zarev, 2011-, Simons Postdoctoral Fellow, UC Berkeley

Administrative Service

Within the Department of Mathematics at UC Berkeley:
- Co-Chair for Strategic Planning (from 12/2011)
- Faculty Appointments Committee(2010-11, 2011-12)
- Co-organization of the North California Symplectic Geometry Seminar
Within the Department of Mathematics at MIT:
- Undergraduate Education Committee (2004-05, 2007-09)
- Seminar organization: Geometry Seminar, Joint Colloquium (2006-09)
- Microteaching Workshops (TA training program) (2006-09)
Organization of workshops and conferences:
- Symplectic 4-manifolds, Ecole Polytechnique, June-July 2000
- Symplectic topology, IPAM, Los Angeles, March 2003
- Symplectic geometry and mathematical physics, MSRI, Berkeley, March 2004
- Special session of First Canada-France Congress of Mathematics, Toulouse, July 2004
- Workshop on mirror symmetry, Perimeter Institute, Canada, November 2004
- Analytic and symplectic methods, Summer Institute in Algebraic Geometry, U. of Washington, Seattle, July 2005
- Workshop on four-dimensional manifolds, Oberwolfach, August 2006
- Interactions of geometry and topology in low dimension, Banff, March 2007
- Workshop on homological mirror symmetry, Miami, January 2008
- Workshop on symplectic geometry and mirror symmetry, MIT, May 2008
- Workshop on homological mirror symmetry, Miami, January 2009
- Interactions of geometry and topology in low dimension, Banff, March 2009
- Workshop on symplectic geometry and mirror symmetry, MIT, June 2009
- Workshop on homological mirror symmetry, Miami, January 2010
- Workshop on symplectic geometry and mirror symmetry, MIT, July 2010
- Workshop on homological mirror symmetry, Miami, January 2011
- Interactions of geometry and topology in low dimension, Banff, March 2011
- Workshop and conference on holomorphic curves and low dimensional topology, Stanford, August 2012
Organization of a semester on Symplectic Geometry and Physics at IPAM (UCLA), Spring 2003 and of a semester on Algebraic and Symplectic Geometry and Physics at CIB, EPFL (Lausanne), Fall 2007.
Editorial Board: Journal of Symplectic Geometry
Editorial Board: Journal of Gökova Geometry Topology (GGT)
Editorial Board: Mathematische Annalen
Editorial Board: Journal de l'Institut de Mathématiques de Jussieu (JIMJ)

Publications

D. Auroux, Asymptotically holomorphic families of symplectic submanifolds.
Geom. Funct. Anal. 7 (1997), 971-995.
D. Auroux, Symplectic 4-manifolds as branched coverings of CP2.
Inventiones Math. 139 (2000), 551-602.
D. Auroux, L. Katzarkov, Branched coverings of CP2 and invariants of symplectic 4-manifolds.
Inventiones Math. 142 (2000), 631-673.
D. Auroux, Symplectic maps to projective spaces and symplectic invariants.
Proceedings of the 7th Gökova Geometry-Topology Conference (2000), Turkish J. Math. 25 (2001), 1-42.
D. Auroux, Estimated transversality in symplectic geometry and projective maps.
In "Symplectic Geometry and Mirror Symmetry", Proceedings of the 4th KIAS International Conference, Seoul (2000), World Scientific, Singapore, 2001, 1-30.
D. Auroux, D. Gayet, J.-P. Mohsen, Symplectic hypersurfaces in the complement of an isotropic submanifold.
Math. Ann. 321 (2001), 739-754.
D. Auroux, A remark about Donaldson's construction of symplectic submanifolds.
J. Symplectic Geom. 1 (2002), 647-658.
D. Auroux, Fiber sums of genus 2 Lefschetz fibrations.
Proceedings of the 9th Gökova Geometry-Topology Conference (2002), Turkish J. Math. 27 (2003), 1-10.
D. Auroux, S. K. Donaldson, L. Katzarkov, Luttinger surgery along Lagrangian tori and non-isotopy for singular symplectic plane curves.
Math. Ann. 326 (2003), 185-203.
D. Auroux, S. K. Donaldson, L. Katzarkov, M. Yotov, Fundamental groups of complements of plane curves and symplectic invariants.
Topology 43 (2004), 1285-1318.
D. Auroux, V. S. Kulikov, V. V. Shevchishin, Regular homotopy of Hurwitz curves.
Izv. Math. 68 (2004), 521-542.
D. Auroux, A stable classification of Lefschetz fibrations.
Geom. Topol. 9 (2005), 203-217.
D. Auroux, S. K. Donaldson, L. Katzarkov, Singular Lefschetz pencils.
Geom. Topol. 9 (2005), 1043-1114.
D. Auroux, Some open questions about symplectic 4-manifolds, singular plane curves, and braid group factorizations.
Proc. 4th European Congress of Mathematics (Stockholm, 2004), A. Laptev Ed., European Math. Soc., 2005, 23-40.
D. Auroux, V. Muñoz, F. Presas, Lagrangian submanifolds and Lefschetz pencils.
J. Symplectic Geom. 3 (2005), 171-219.
D. Auroux, Symplectic 4-manifolds, singular plane curves, and isotopy problems.
Floer Homology, Gauge Theory, and Low Dimensional Topology (Budapest, 2004), Amer. Math. Soc., Clay Math. Proceedings 5 (2006), 263-276.
D. Auroux, Mapping class group factorizations and symplectic 4-manifolds: some open problems.
Problems on Mapping Class Groups and Related Topics, B. Farb Ed., Amer. Math. Soc., Proc. Symp. Pure Math. 74 (2006), 123-132.
D. Auroux, L. Katzarkov, D. Orlov, Mirror symmetry for Del Pezzo surfaces: Vanishing cycles and coherent sheaves.
Inventiones Math. 166 (2006), 537-582.
D. Auroux, The canonical pencils on Horikawa surfaces.
Geom. Topol. 10 (2006), 2173-2217.
D. Auroux, Mirror symmetry and T-duality in the complement of an anticanonical divisor.
J. Gökova Geom. Topol. 1 (2007), 51-91.
D. Auroux, I. Smith, Lefschetz pencils, branched covers and symplectic invariants.
Symplectic 4-manifolds and algebraic surfaces (Cetraro, 2003), Lect. Notes in Math. 1938, Springer, 2008, 1-53.
D. Auroux, L. Katzarkov, A degree doubling formula for braid monodromies and Lefschetz pencils.
Pure Appl. Math. Q. 4 (2008), 237-318.
D. Auroux, L. Katzarkov, D. Orlov, Mirror symmetry for weighted projective planes and their noncommutative deformations.
Ann. Math. 167 (2008), 867-943.
D. Auroux, Special Lagrangians, mirror symmetry and Calabi-Yau double covers.
Géométrie différentielle, physique mathématique, mathématiques et société (I), O. Hijazi Ed., Soc. Math. Fr., Astérisque 321 (2008), 99-128.
D. Auroux, Special Lagrangian fibrations, wall-crossing, and mirror symmetry.
Surveys in Differential Geometry, Vol. 13, H.D. Cao and S.T. Yau Eds., Intl. Press, 2009, 1-47.
D. Auroux, La conjecture de Weinstein en dimension 3 (d'après C. H. Taubes).
Séminaire Bourbaki, vol. 2008/09, exposé n^o 1002, Astérisque 332 (2010), 135-159.
D. Auroux, Fukaya categories of symmetric products and bordered Heegaard-Floer homology.
J. Gökova Geom. Topol. 4 (2010), 1-54.
D. Auroux, Fukaya categories and bordered Heegaard-Floer homology.
Proc. International Congress of Mathematicians (Hyderabad, 2010), Vol. II, Hindustan Book Agency, 2010, 917-941.

Invited Talks

December 1996, Séminaire Arthur Besse, Ecole Polytechnique (Palaiseau, France)
Construction de sous-variétés symplectiques, d'après Donaldson.
July 1997, Park City Mathematical Institute, Park City (Utah)
Asymptotically holomorphic families of symplectic submanifolds.
November 1997, Séminaire Arthur Besse, Ecole Polytechnique (Palaiseau, France)
Familles de sous-variétés symplectiques et pinceaux de Lefschetz symplectiques.
December 1997, Groupe de Travail Topologie Symplectique, Ecole Polytechnique (Palaiseau, France)
Autour des travaux de Donaldson sur les pinceaux de Lefschetz symplectiques.
January 1998, Analysis and Geometry Seminar, Université de Cergy-Pontoise (France)
Familles de sous-variétés symplectiques.
April 1998, Workshop on Symplectic Topology, University of Warwick (UK)
Symplectic submanifolds and Lefschetz pencils.
May 1998, Geometry Seminar, University of Pavia (Italy)
Symplectic submanifolds and Lefschetz pencils.
October 1998, Séminaire Arthur Besse, Ecole Polytechnique (Palaiseau, France)
Variétés symplectiques de dimension 4 et revêtements ramifiés de CP².
December 1998, Topology Seminar, Université Joseph Fourier, Grenoble (France)
Variétés symplectiques de dimension 4 et revêtements ramifiés de CP².
January 1999, Geometry Seminar, Université de Strasbourg (France)
Variétés symplectiques de dimension 4 et revêtements ramifiés de CP².
January 1999, Geometry-Topology Seminar, Université de Lille (France)
Variétés symplectiques de dimension 4 et revêtements ramifiés de CP².
February 1999, Geometry and Topology Seminar, UQAM, Montréal (Canada)
Variétés symplectiques de dimension 4 et revêtements ramifiés de CP².
March 1999, Gauge Theory Seminar, Harvard University, Cambridge (MA)
Symplectic 4-manifolds and branched coverings of CP².
March 1999, Miniconference on symplectic geometry, UC Irvine (California) (2 lectures)
Symplectic maps to CP².
March 1999, Séminaire Sud-Rhodanien de géométrie, Avignon (France) (3 lectures)
Invariants de Seiberg-Witten en géométrie symplectique.
March 1999, Séminaire de l'UMPA, ENSL, Lyon (France)
Variétés symplectiques de dimension 4 et revêtements ramifiés de CP².
May 1999, Symplectic Geometry Seminar, ETHZ, Zurich (Switzerland)
Branched coverings of CP² and invariants of symplectic 4-manifolds.
May 1999, Analysis seminar, ETHZ, Zurich (Switzerland)
Approximately holomorphic constructions in symplectic geometry.
June 1999, Conference on Geometry, Analysis and Mathematical Physics, Obernai (France)
Symplectic 4-manifolds and branched coverings of CP².
June 1999, Workshop "Differentialgeometrie im Grossen", Oberwolfach (Germany)
Symplectic 4-manifolds and branched coverings of CP².
June 1999, Omega '99 Conference on Symplectic Geometry, Lisbon (Portugal)
Branched coverings of CP² and invariants of symplectic 4-manifolds.
October 1999, Analysis and Geometry Seminar, Ohio State University, Columbus (Ohio)
Symplectic 4-manifolds, branched coverings of CP² and braid group invariants.
January 2000, Geometry Seminar, UC Irvine (California)
The degree doubling formula for braid monodromies and symplectic Lefschetz pencils.
February 2000, Gauge Theory Seminar, Michigan State University, Lansing (Michigan)
Symplectic Lefschetz pencils, branched coverings and degree doubling formulas.
February 2000, Gauge Theory Seminar, Harvard University, Cambridge (MA)
Symplectic Lefschetz pencils, branched coverings and degree doubling formulas.
March 2000, Groupe de Travail Topologie Symplectique, Ecole Polytechnique (Palaiseau, France)
Formule de doublement du degré pour les pinceaux de Lefschetz.
May 2000, Invited Lecture Series, University of Pisa (Italy) (6 lectures)
Approximately holomorphic techniques in symplectic geometry.
May 2000, 7th Gökova Geometry-Topology Conference, Gökova (Turkey)
Symplectic maps to projective spaces and applications.
July 2000, Geometry Seminar, Universidad Complutense de Madrid (Spain)
Symplectic maps to projective spaces and symplectic invariants.
August 2000, KIAS International Conference on Symplectic Geometry, Seoul (South Korea)
Estimated transversality in symplectic geometry and projective maps.
September 2000, Journée IHES-Pour la Science, Centre Georges Pompidou, Paris (France)
Tas d'oranges, cristaux, et problèmes d'empilements. (talk for a general audience)
October 2000, Gauge Theory Seminar, Max-Planck Institut, Bonn (Germany)
Estimated transversality in symplectic geometry and projective maps.
February 2001, Gauge Theory Seminar, Harvard University, Cambridge (MA)
Estimated transversality, projective maps and invariants of symplectic manifolds.
February 2001, Symplectic Topology Seminar, SUNY Stony Brook (NY)
Estimated transversality, projective maps and invariants of symplectic manifolds.
March 2001, Gauge Theory Seminar, Princeton University, Princeton (NJ)
Estimated transversality, projective maps and invariants of symplectic manifolds.
April 2001, Workshop on Symplectic and Contact Topology, Fields Institute & CRM, Université de Montréal (Canada)
Projective maps and invariants of symplectic manifolds.
April 2001, Conference on Symplectic Geometry and Applications to Physics, UC Irvine (California)
Projective maps and symplectic invariants.
April 2001, Geometry Seminar, M.I.T., Cambridge (MA)
Projective maps and invariants of symplectic 4-manifolds.
May 2001, Special Lecture, University of Michigan, Ann Arbor (Michigan)
Projective maps and symplectic invariants.
May 2001, Georgia Topology Conference, Athens (GA)
Projective maps and symplectic invariants.
June 2001, Conference: "Perspectives in Low Dimensional Geometry", Cortona (Italy)
Projective maps and symplectic invariants.
June 2001, EAGER 2001 Conference, Nordfjordeid (Norway)
Symplectic manifolds, maps to projective spaces, and monodromy invariants.
July 2001, SISTAG 2001 Conference, NUS, Singapore (Singapore)
Symplectic manifolds, maps to projective spaces, and monodromy invariants.
July 2001, Summer School in Symplectic Topology, Chevaleret, Paris (France)
Maps to CP² and invariants of symplectic manifolds.
July 2001, First AMS-SMF Franco-American Mathematical Meeting, ENSL, Lyon (France)
Projective maps and symplectic invariants.
August 2001, Workshop on Complex Geometry and Interactions, Oberwolfach (Germany)
Estimated transversality in symplectic geometry and projective maps.
October 2001, Colloquium, University of Michigan, Ann Arbor (Michigan)
Approximately holomorphic techniques in symplectic topology.
October 2001, Symplectic Geometry Seminar, M.I.T., Cambridge (MA)
Symplectic manifolds, maps to CP² and branch curve complements.
December 2001, Gauge Theory Seminar, Harvard University, Cambridge (MA)
Fundamental groups of plane curve complements and symplectic invariants.
January 2002, Cours Peccot (Peccot Prize Lectures), Collège de France, Paris (France) (4 lectures)
Techniques approximativement holomorphes et invariants de variétés symplectiques.
January 2002, Séminaire de Géométrie Algébrique de Jussieu, Paris (France)
Applications projectives et invariants des variétés symplectiques.
January 2002, Algebraic Geometry Seminar, University of Barcelona (Spain)
Projective maps, branch curves and symplectic invariants.
February 2002, CIRGET Seminar, UQAM, Montréal (Canada)
Applications projectives, courbes de ramification et invariants symplectiques.
March 2002, Symplectic Geometry Seminar, Columbia University, New York (NY)
Projective maps, branch curves and symplectic invariants.
March 2002, Conference on Low-dimensional Topology and Holomorphic Curves, IAS, Princeton (NJ)
Singular plane curves and topological invariants of symplectic manifolds.
April 2002, Geometry Festival, Courant Institute, New York (NY)
Singular plane curves and topological invariants of symplectic manifolds.
April 2002, Mathematical Physics Seminar, Johns Hopkins University, Baltimore (MD)
Singular plane curves and topological invariants of symplectic manifolds.
April 2002, Geometry Seminar, Boston University, Boston (MA)
Singular plane curves and symplectic manifolds.
May 2002, 9th Gökova Geometry-Topology Conference, Gökova (Turkey)
Singular plane curves and symplectic 4-manifolds.
June 2002, Workshop on Low Dimensional Geometry, CIRM, Luminy (France)
Singular plane curves and symplectic 4-manifolds.
June 2002, Symplectic Topology and Complex Geometry Conference, Lille (France)
Singular plane curves and symplectic invariants.
July 2002, EDGE Summer School, ICMS, Edinburgh (UK) (3 lectures)
Approximately holomorphic methods in symplectic geometry.
August 2002, Differential Geometry Satellite Conference, Nankai Institute of Mathematics, Tianjin (China)
Singular plane curves and symplectic 4-manifolds.
September 2002, Conference on Fundamental Groups in Geometry, Oberwolfach (Germany)
Fundamental groups of complements of plane curves and symplectic invariants.
October 2002, Geometry Seminar, Université Montpellier 2, Montpellier (France)
Courbes planes et invariants de variétés symplectiques.
October 2002, Geometry/Topology Seminar, Université Paris Sud, Orsay (France)
Courbes planes et invariants de variétés symplectiques.
November 2002, Conference: "Prospects in Geometry", Max Planck Institut, Leipzig (Germany)
Singular plane curves and symplectic manifolds.
December 2002, Geometry Seminar, Istituto Superior Tecnico, Lisbon (Portugal)
Branched coverings, Luttinger surgery and non-isotopy.
February 2003, Geometry Seminar, Cambridge University, Cambridge (UK)
Symplectic 4-manifolds and singular plane curves.
February 2003, Symplectic Geometry Seminar, IRMA, Strasbourg (France)
Variétés symplectiques et courbes planes singulières.
February 2003, GESTA Meeting, Universidad Carlos III, Madrid (Spain) (3 lectures)
Monodromy invariants in symplectic topology.
March 2003, Symplectic Geometry and Physics 2003, IPAM, UCLA, Los Angeles (California) (4 lectures)
Monodromy invariants in symplectic topology.
April 2003, Topology/Geometry Seminar, UC San Diego (California)
Singular plane curves and symplectic 4-manifolds.
May 2003, Workshop on Symplectic Geometry, ETH, Zurich (Switzerland)
Homological mirror symmetry for weighted projective planes.
June 2003, SGP 2003 Conference at Lake Arrowhead, Los Angeles (California)
Homological mirror symmetry for weighted projective planes.
June 2003, Conference: "Invariants in Low Dimensional Topology", Budapest (Hungary)
Lefschetz fibrations in homological mirror symmetry: an example.
June 2003, Séminaire Arthur Besse, Ecole Polytechnique (Palaiseau, France)
Symétrie miroir homologique pour les plans projectifs à poids.
August 2003, Workshop "Holomorphic Curves in Contact Geometry", AIM, Palo Alto (California)
Lefschetz fibrations and open books in symplectic and contact geometry.
September 2003, Corso CIME "Symplectic 4-manifolds and algebraic surfaces", Cetraro (Italy) (5 lectures).
Lefschetz pencils, branched covers and symplectic invariants.
September 2003, Gauge Theory Seminar, Harvard University, Cambridge (MA)
Lefschetz fibrations in homological mirror symmetry.
October 2003, Symplectic Geometry Seminar, MIT, Cambridge (MA)
Singular Lefschetz pencils on smooth 4-manifolds.
October 2003, Symplectic Topology Seminar, SUNY, Stony Brook (NY)
Lefschetz fibrations in homological mirror symmetry.
October 2003, Symplectic Geometry Seminar, Michigan State University, Lansing (Michigan)
Lagrangian submanifolds, Lefschetz pencils and homological mirror symmetry.
October 2003, Colloquium, Michigan State University, Lansing (Michigan)
Homological mirror symmetry for Fano surfaces.
December 2003, Colloquium, Princeton University, Princeton (NJ)
Homological mirror symmetry for Fano surfaces.
December 2003, UCI Miniconference on FS Categories, UC Irvine (California)
Homological mirror symmetry for Fano surfaces.
January 2004, Séminaire Arthur Besse, Ecole Polytechnique (Palaiseau, France)
Structures presque symplectiques et pinceaux de Lefschetz en dimension 4.
February 2004, Symplectic Geometry Seminar, University of Minnesota, Minneapolis (MN)
Lefschetz fibrations and mirror symmetry for Fano surfaces.
March 2004, Workshop on Complex and Symplectic Geometry, University of Miami, Miami (Florida)
Near symplectic structures and Lefschetz pencils on smooth 4-manifolds.
March 2004, "Asymptotic results in complex geometry" Conference, Johns Hopkins University, Baltimore (MD)
Lefschetz fibrations, vanishing cycles and mirror symmetry.
April 2004, Colloquium, University of Chicago, Chicago (IL)
Near symplectic structures and Lefschetz pencils on smooth 4-manifolds.
April 2004, Great Lakes Geometry Conference, Notre Dame University, Notre Dame (IN)
Homological mirror symmetry for Fano surfaces.
April 2004, Third Duke Math Journal Conference, Duke University, Durham (NC)
Homological mirror symmetry for Fano varieties.
May 2004, "Geometry of Manifolds" Conference, McMaster University, Hamilton (Canada)
Near symplectic structures and Lefschetz pencils on smooth 4-manifolds.
June 2004, Groupe de Travail Topologie Symplectique, Ecole Polytechnique (Palaiseau, France)
Introduction à la symétrie miroir homologique pour les variétés de Fano.
June 2004, Geometry and Singularities Seminar, Université de Provence, Marseille (France)
Symétrie miroir pour les plans projectifs à poids.
June 2004, Clay Summer School on Low-dimensional Topology, Budapest (Hungary) (2 lectures)
Symplectic 4-manifolds, singular plane curves, and isotopy problems.
July 2004, 4th European Congress of Mathematics, Stockholm (Sweden)
Symplectic 4-manifolds, singular plane curves, and isotopy problems.
July 2004, Conference on Symplectic Topology, Stare Jablonki (Poland) (2 lectures)
Homological mirror symmetry for Fano surfaces.
August 2004, String Theory and Geometry Conference, Oberwolfach (Germany)
Homological mirror symmetry for Fano surfaces.
November 2004, Workshop on Mirror Symmetry, Perimeter Institute, Waterloo (Canada)
Homological mirror symmetry for Fano surfaces.
December 2004, Winter school "Algebraic, symplectic geometry and physics", University of Miami, Miami (Florida)
Homological mirror symmetry for rational surfaces.
January 2005, Geometry Seminar, University of Chicago, Chicago (IL) (2 lectures)
Symplectic 4-manifolds, mapping class groups, and braid groups.
Lefschetz fibrations, plane curves, surgeries, and fiber sums.
February 2005, Colloquium, University of Miami, Miami (Florida)
Symplectic 4-manifolds, mapping class groups, and fiber sums.
February 2005, EMS Summer School "Braid groups and applications", Eilat (Israel) (5 lectures)
Braid monodromy, plane curves, and symplectic 4-manifolds.
March 2005, Geometric Topology Seminar, Columbia University, New York (NY)
Fiber sums of Lefschetz fibrations.
March 2005, Harvard/MIT Mathematical Physics Seminar, Harvard University, Cambridge (MA)
Homological mirror symmetry for Del Pezzo surfaces.
March 2005, Colloquium, UCLA, Los Angeles (CA)
Symplectic 4-manifolds, Lefschetz fibrations and mapping class groups.
March 2005, Colloquium, University of Toronto, Toronto (Canada)
Symplectic 4-manifolds, Lefschetz fibrations and mapping class groups.
March 2005, Colloquium, University of Western Ontario, London (Canada)
Symplectic 4-manifolds and mapping class group factorizations.
April 2005, Gauge Theory Seminar, Harvard University, Cambridge (MA)
Near symplectic structures and Lefschetz pencils on smooth 4-manifolds.
April 2005, Valley Geometry Seminar, University of Massachusetts, Amherst (MA)
Homological mirror symmetry for Fano surfaces.
May 2005, Cornell Topology Festival, Cornell University, Ithaca (NY)
Symplectic 4-manifolds, mapping class groups, and fiber sums.
May 2005, SGP Reunion Conference, Lake Arrowhead (California)
Mirror symmetry for blowups of CP².
May 2005, Holomorphic Curves Workshop, Institute for Advanced Studies, Princeton (NJ)
Fiber sum stabilization of Lefschetz fibrations.
June 2005, Giornata INDAM, Naples (Italy)
Symplectic 4-manifolds and mapping class group factorizations.
June 2005, Colloque "De la topologie à la géométrie symplectique", Université de Nantes (France)
Fiber sums of Lefschetz fibrations.
June 2005, Symplectic Geometry Seminar, ETHZ, Zurich (Switzerland) (2 lectures)
Fiber sums of Lefschetz fibrations.
Symplectic 4-manifolds and singular plane curves.
July 2005, SYMAT05 Workshop on Symplectic Topology, Istituto Superior Tecnico, Lisbon (Portugal)
Fiber sums of Lefschetz fibrations.
July 2005, Summer Institute in Algebraic Geometry, University of Washington, Seattle (WA)
Homological mirror symmetry for blowups of CP².
August 2005, Workshop on Topology, Banff Research Station, Banff (Canada)
Fiber sums of Lefschetz fibrations.
September 2005, Colloquium, University of Southern California, Los Angeles (CA)
Homological mirror symmetry for blowups of CP².
September 2005, Topology Seminar, UC Berkeley, Berkeley (CA)
Singular Lefschetz pencils on near-symplectic 4-manifolds.
September 2005, Symplectic Geometry Seminar, UC Berkeley, Berkeley (CA)
Homological mirror symmetry for blowups of CP².
October 2005, Topology Seminar, University of Aarhus, Aarhus (Denmark)
Symplectic 4-manifolds, mapping class group factorizations, and fiber sums of Lefschetz fibrations.
October 2005, Topology Seminar, UC Berkeley, Berkeley (CA)
Symplectic 4-manifolds and singular plane curves.
October 2005, Colloquium, Stanford University, Stanford (CA)
Symplectic 4-manifolds and Lefschetz fibrations.
November 2005, Salomon Bochner Lectures, Rice University, Houston (Texas) (5 lectures)
Monodromy techniques in symplectic topology.
November 2005, Topology Seminar, UC Berkeley, Berkeley (CA)
Isotopy problems for singular plane curves and symplectic 4-manifolds.
December 2005, Workshop "Recent Advances in Symplectic Geometry", BIRS, Banff (Canada)
Near-symplectic structures and Lefschetz pencils on smooth 4-manifolds.
December 2005, Winter School Miami 2005, University of Miami, Miami (Florida) (2 lectures)
Homological mirror symmetry for Del Pezzo surfaces.
January 2006, Colloquium, University of Miami, Miami (Florida)
How to not distinguish two complex surfaces.
January 2006, Enrichment Programme for Young Mathematics Talents, CUHK, Hong Kong
Sphere packings, crystals, and error-correcting codes.
January 2006, Geometry Colloquium, HKUST, Hong Kong
Homological mirror symmetry for blowups of CP².
January 2006, Colloquium, Chinese University of Hong Kong, Hong Kong
Mapping class group factorizations and Lefschetz fibrations.
April 2006, Topology Seminar, University of Indiana, Bloomington (IN)
Near symplectic structures and Lefschetz pencils on smooth 4-manifolds.
April 2006, Bloomington Geometry Workshop, University of Indiana, Bloomington (IN)
Mapping class group factorizations and fiber sums of Lefschetz fibrations.
June 2006, Workshop on Homological Mirror Symmetry, ESI, Vienna (Austria)
Homological mirror symmetry for blowups of CP².
June 2006, Colloquium, Universität Bonn, Bonn (Germany)
Lefschetz pencils and the symplectic topology of complex surfaces.
August 2006, Workshop on Four-Manifolds, Oberwolfach (Germany)
Degree doubling for Lefschetz pencils.
August 2006, GESTA 2006 Workshop on Symplectic and Contact Topology, Madrid (Spain)
The canonical Lefschetz pencils of Horikawa surfaces.
September 2006, Yamabe Memorial Conference, University of Minnesota, Minneapolis (MN)
Lefschetz pencils and the symplectic topology of complex surfaces.
September 2006, Algebraic Geometry Seminar, Brown University, Providence (RI)
Homological mirror symmetry for Del Pezzo surfaces.
November 2006, Differential Geometry Seminar, Harvard University, Cambridge (MA)
The canonical pencils of Horikawa surfaces.
November 2006, Conference on the Topology of 4-Manifolds, Tulane University, New Orleans (LA)
Lefschetz pencils and the symplectic topology of complex surfaces.
December 2006, Colloquium, Courant Institute, New York University, New York (NY)
Homological mirror symmetry for blowups of CP².
January 2007, Séminaire "SymplectX", Ecole Polytechnique, Palaiseau (France)
Peut-on distinguer symplectiquement les surfaces d'Horikawa?
January 2007, Mirror Symmetry Seminar, IAS, Princeton (NJ) (2 lectures)
Introduction to Fukaya categories of Landau-Ginzburg models.
January 2007, Workshop on Homological Mirror Symmetry, IAS, Princeton (NJ)
Homological mirror symmetry for blowups of CP².
March 2007, Geometry Seminar, Boston University, Boston (MA)
Homological mirror symmetry for blowups of CP².
April 2007, Geometry-Topology Seminar, University of Wisconsin, Madison (WI)
Homological mirror symmetry for blowups of CP².
May 2007, Gökova Geometry-Topology Conference, Gökova (Turkey)
Mirror symmetry in the complement of an anticanonical divisor.
July 2007, Ecole Polytechnique, Palaiseau (France)
Tores lagrangiens dans le complémentaire d'un diviseur anticanonique et symétrie miroir.
July 2007, Symplectic Geometry Workshop, RIMS, Kyoto (Japan)
Mirror symmetry in the complement of an anticanonical divisor.
August 2007, Algebraic, Symplectic Geometry and Physics, CIB, EPFL, Lausanne (Switzerland) (2 lectures)
Lagrangian submanifolds and mirror symmetry.
August 2007, Differential Geometry, Mathematical Physics, and Society (J.P. Bourguignon's 60th birthday conference), IHES, Bures-sur-Yvette (France)
Mirror symmetry in the complement of an anticanonical divisor.
September 2007, Geometry Seminar, MIT, Cambridge (MA)
Mirror symmetry in the complement of an anticanonical divisor.
September 2007, Penn Colloquium, University of Pennsylvania, Philadelphia (PA)
Mirror symmetry in the complement of an anticanonical divisor.
November 2007, Differential Geometry Seminar, Harvard University, Cambridge (MA)
Mirror symmetry in the complement of an anticanonical divisor.
December 2007, Séminaire de Géométrie, Université Lyon 1, Villeurbanne (France)
Tores lagrangiens et symétrie miroir.
January 2008, Conference on Mathematical Physics and Geometric Analysis, Fields Institute, Toronto (Canada)
Mirror symmetry in the complement of an anticanonical divisor.
March 2008, Algebro-Geometric Derived Categories and Applications, IAS, Princeton (NJ)
Relative Fukaya categories and relative homological mirror symmetry.
March 2008, Symplectic Geometry Seminar, Princeton University, Princeton (NJ)
Special Lagrangian fibrations, instanton corrections and mirror symmetry.
March 2008, Illinois-Indiana Symplectic Geometry Conference, IUPUI, Indianapolis (IN)
Special Lagrangian tori and mirror symmetry.
April 2008, Symplectic Geometry Seminar, Columbia University, New York (NY)
Special Lagrangian fibrations and mirror symmetry.
May 2008, Seventh JDG Conference on Geometry and Topology, Harvard University, Cambridge (MA)
Special Lagrangian fibrations and mirror symmetry.
May 2008, Workshop on Floer Theory and Symplectic Dynamics, CRM, Université de Montréal (Canada)
Special Lagrangian tori and mirror symmetry.
June 2008, Second Canada-France Congress (Symplectic geometry session), Montréal (Canada)
Special Lagrangian fibrations and mirror symmetry.
July 2008, Summer School in Symplectic and Real Algebraic Geometry, IHP, Paris (France)
The SYZ conjecture: Lagrangian fibrations in mirror symmetry.
July 2008, Mirror Symmetry Conference, Hausdorff Institute, Bonn University, Bonn (Germany)
Mirror symmetry for blowups.
August 2008, Geometric Langlands Program, KITP, UCSB, Santa Barbara (CA)
Special Lagrangian fibrations and mirror symmetry.
August 2008, Low-dimensional topology (Kirby 70), MSRI, Berkeley (CA)
Broken Lefschetz fibrations on smooth 4-manifolds.
August 2008, Workshop on Holomorphic Curves, Stanford University, Stanford (CA) (2 lectures)
Special Lagrangian fibrations and mirror symmetry.
October 2008, Low-dimensional topology session, AMS meeting, Middletown (CT)
Broken Lefschetz fibrations on smooth 4-manifolds.
January 2009, Workshop "Geometry and Physics of Landau-Ginzburg Models", Clay Math. Institute, Cambridge (MA)
Lagrangian fibrations and mirror symmetry.
January 2009, Workshop on Homological mirror symmetry, University of Miami, Miami (FL) (3 lectures)
Special Lagrangian fibrations and mirror symmetry.
February 2009, Everytopic Seminar, Brandeis University, Waltham (MA)
Special Lagrangian fibrations and mirror symmetry.
March 2009, Séminaire Bourbaki, IHP, Paris (France)
La conjecture de Weinstein en dimension 3 (d'après Taubes).
April 2009, Topology Seminar, Univ. of Wisconsin, Madison (WI)
Mirror symmetry for blowups.
April 2009, Graduate Student Topology/Geometry Conference, Univ. of Wisconsin, Madison (WI)
Lagrangian fibrations and mirror symmetry.
April 2009, Topology Seminar, Rice University, Houston (TX)
Fukaya categories of symmetric products and bordered Heegaard-Floer homology.
May 2009, CIRGET Seminar, UQAM, Montréal (Canada)
Fukaya categories of symmetric products and bordered Heegaard-Floer homology.
May 2009, Connections in Geometry and Physics, Perimeter Institute, Waterloo (Canada)
Mirror symmetry for blowups.
May 2009, Georgia Topology Conference, Athens (GA)
Fukaya categories of symmetric products and bordered Heegaard-Floer homology.
May 2009, Gökova Geometry-Topology conference, Gökova (Turkey) (2 lectures)
Landau-Ginzburg models and mirror symmetry.
June 2009, Conference on Geometry and Topology, Univ. Münster, Münster (Germany)
Fukaya categories and Heegaard-Floer homology.
June 2009, Workshop on Mirror Symmetry, Univ. Bonn, Bonn (Germany)
Mirror symmetry for Hirzebruch surfaces via wall-crossing.
July 2009, IMJ Summer School on Link Homology, IHP, Paris (France)
Fukaya categories of symmetric products and bordered Heegaard-Floer homology.
July 2009, Rencontres Mathématiques de Glanon, Glanon (France) (3 lectures)
Lagrangian torus fibrations and mirror symmetry.
July 2009, Workshop on Symplectic Field Theory IV, LMU Munich, Munich (Germany) (2 lectures)
Lagrangian torus fibrations and mirror symmetry.
August 2009, Introductory Workshop on Symplectic and Contact Geometry, MSRI, Berkeley (CA)
Lefschetz fibrations and symplectic 4-manifolds.
August 2009, Introductory Workshop on Tropical Geometry, MSRI, Berkeley (CA) (3 lectures)
Some tropical aspects of mirror symmetry.
October 2009, Topology Seminar, UC Davis, Davis (CA)
Fukaya categories of symmetric products and bordered Heegaard-Floer homology.
October 2009, Math-Physics Seminar, University of Pennsylvania, Philadelphia (PA)
Fukaya categories in bordered Heegaard-Floer homology.
October 2009, Symplectic Topology Seminar, Columbia University, New York (NY)
Fukaya categories of symmetric products and bordered Heegaard-Floer homology.
November 2009, Colloquium, Stanford University, Stanford (CA)
Fukaya categories and bordered Heegaard-Floer homology.
December 2009, Colloque Paulette Libermann, IHP, Paris (France)
Special Lagrangian fibrations and mirror symmetry.
December 2009, GT Berkovich-K3, Université Paris 7, Paris (France) (4 lectures)
Fibrations lagrangiennes et symétrie miroir.
December 2009, Colloquium, Institut Fourier, Grenoble (France)
Symétrie miroir pour les hypersurfaces de type général.
December 2009, Geometry Seminar, Université Lyon 1, Villeurbanne (France)
Catégories de Fukaya de produits symétriques et homologie de Heegaard-Floer.
January 2010, Geometry Seminar, University of Texas, Austin (TX) (2 lectures)
Lagrangian torus fibrations and mirror symmetry.
February 2010, Conference on Tropical Geometry and Mirror Symmetry, UC San Diego (CA)
SYZ for blowups and mirror symmetry for hypersurfaces in toric varieties.
March 2010, Research Workshop "Homology theories of knots and links", MSRI, Berkeley (CA)
Fukaya categories of symmetric products and bordered Heegaard-Floer homology.
April 2010, Colloquium, UC Berkeley, Berkeley (CA)
Lagrangian torus fibrations and mirror symmetry.
April 2010, Southern California Algebraic Geometry Seminar, UC San Diego (CA),
Mirror symmetry for blowups and hypersurfaces in toric varieties.
April 2010, Berkeley-Stanford Algebraic Geometry Colloquium, Berkeley (CA),
Mirror symmetry for blowups and hypersurfaces in toric varieties.
May 2010, Geometry Seminar, MIT, Cambridge (MA)
Fukaya categories of symmetric products and bordered Heegaard-Floer homology.
May 2010, Hayashibara Forum "Symplectic Geometry, Noncommutative Geometry and Physics", MSRI, Berkeley (CA) (3 lectures)
Special Lagrangian torus fibrations and mirror symmetry.
June 2010, Gökova Geometry-Topology Conference, Gökova (Turkey)
Fukaya categories of symmetric products and bordered Heegaard-Floer homology.
June 2010, Workshop "Real structures on complex manifolds" (Kharlamov 60), CIRM, Luminy (France)
Mirror symmetry for blowups and hypersurfaces in toric varieties.
June 2010, Workshop "D-branes and homological mirror symmetry", ESI, Vienna (Austria) (2 lectures)
Mirror symmetry for blowups and hypersurfaces in toric varieties.
August 2010, ICM 2010 invited talk (Topology section), Hyderabad (India)
Fukaya categories and bordered Heegaard-Floer homology.
October 2010, Floer Memorial Lecture, North California Symplectic Geometry Seminar, Stanford (CA)
Fukaya categories of symmetric products and bordered Heegaard-Floer homology.
October 2010, Topology and Symplectic Geometry Session, AMS Western Section Meeting, UCLA, Los Angeles (CA)
Fukaya categories of symmetric products and bordered Heegaard-Floer homology.
January 2011, Colloquium Algèbre-Géométrie-Logique, Univ. Lyon 1, Villeurbanne (France)
Sur la symétrie miroir pour les surfaces de Riemann non compactes.
January 2011, AMS Invited Address, Joint Mathematics Meeting, New Orleans (LA)
The symplectic geometry of symmetric products and invariants of 3-manifolds with boundary.
January 2011, Colloquium, Michigan State University, East Lansing (MI)
Bordered Heegaard-Floer homology and the symplectic geometry of symmetric products.
April 2011, CIRGET Seminar, UQAM, Montréal (Canada)
Mirror symmetry for noncompact Riemann surfaces.
May 2011, Workshop "Sheaf theoretic methods in symplectic topology", IAS, Princeton (NJ)
Wrapped Fukaya categories of punctured spheres and homological mirror symmetry.
May 2011, Workshop "Equivariant quantum cohomology, Mirror symmetry and Symplectic geometry", Simons Center, Stony Brook (NY)
Mirror symmetry for open manifolds.
May 2011, Niven Lectures, University of Oregon, Eugene (OR) (2 lectures)
Seeing into the fourth dimension (undergraduate talk).
Building 3-manifold invariants by composing correspondences.
May 2011, Gökova Geometry-Topology conference, Gökova (Turkey) (2 lectures)
Mirror symmetry in complex dimension 1.
June 2011, Summer school on symplectic and contact topology, Nantes (France) (5 lectures)
An introduction to Fukaya categories.
June 2011, Colloque Solstice, Univ. Paris 7, Paris (France)
Symmetric products, correspondences, and invariants of 3-manifolds with boundary.
July 2011, Conference on Gromov-Witten theory, Institut Fourier, Grenoble (France)
Mirror symmetry for noncompact Riemann surfaces.
July 2011, Workshop "Homological mirror symmetry and category theory", MedILS, Split (Croatia)
Mirror symmetry for open manifolds.
October 2011, Geometry Seminar, MSRI, Berkeley (CA)
Mirror symmetry for open Riemann surfaces.
January 2012, Special Seminar, Institut Math. Jussieu, Paris (France) (2 talks)
Lagrangian fibrations and mirror symmetry for open manifolds.
January 2012, Colloquium, Northwestern University, Evanston (IL)
Mirror symmetry in complex dimension 1.
January 2012, Conference on Homological Mirror Symmetry, University of Miami, Miami (FL)
Lagrangian fibrations on conic bundles and mirror symmetry for hypersurfaces.
January 2012, Conference dedicated to F. Bogomolov, University of Miami, Miami (FL)
Homological mirror symmetry for punctured spheres.
February 2012, RTG Mirror Symmetry Conference, University of Michigan, Ann Arbor (MI)
SYZ mirror symmetry and Landau-Ginzburg models
March 2012, Kähler Geometry Session, AMS Western Section Meeting, University of Hawaii, Honolulu (HI)
Lagrangian fibrations on blowups of toric varieties and mirror symmetry for hypersurfaces.