My research evolves in symplectic geometry and topology. I am particularly interested
in questions about
Lagrangian embeddings, but I have also some projects in symplectic dynamics and
I am exploring the
relationships between symplectic geometry and representation theory,
low dimensional topology or geometric group theory.
Publications
In preparation
- Categorical action of the extended braid group of
affine type A: symplectic aspect, with Anne-Laure Thiel and Emmanuel Wagner.
Preprint
-
Weinstein handlebodies for complements of smoothed toric divisors,
with Bahar Acu, Orsola Capovilla-Searle, Aleksandra Marinkovic, Emmy Murphy, Laura Starkston
and Angela Wu,
arXiv:2012.08666, to be published in the Memoirs of the AMS.
- A Floer-Novikov fundamental group
and small flux symplectic isotopies,
arXiv:2111.06151,
with Jean-François Barraud.
Published or under press
-
An introduction to Weinstein handlebodies for complements of smoothed toric divisors,
with Bahar Acu, Orsola Capovilla-Searle, Aleksandra Marinkovic, Emmy Murphy, Laura Starkston
and Angela Wu,
Research Directions in Symplectic and Contact Geometry and Topology, Association for Women in
Mathematics Series, vol 27, Springer, Cham.
- A Novikov fundamental group, with
Jean-François Barraud, Roman Golovko and Hông-Vân Lê,
International Mathematics Research Notices, 2020, no. 24, pp 10447-10494.
- Categorical action of the extended braid group of affine type A,
with Anne-Laure Thiel
and Emmanuel Wagner,
Communications in Contemporary Mathematics, 19 (2017), no. 3.
- Toric
constructions of monotone Lagrangian submanifolds in CP^2 and CP^1 x CP^1,
with Miguel Abreu,
Journal of Symplectic Geometry, 15 (2017), no. 1, pp 151-187.
- On exotic monotone tori in CP^2 and S^2 x S^2,
Journal of Symplectic Geometry, 11 (2013), pp 343-361.
- Families of monotone
symplectic manifolds constructed via symplectic cut and their Lagrangian
submanifolds, Algebraic & Geometric Topology, 11 (2011), pp 2319-2368.
- Obstructions to the existence
of monotone Lagrangian embeddings into cotangent bundles of manifolds
fibered over the circle, Annales de l'Institut Fourier, 59 (2009), no. 3, pp 1135-1175.
- Sous-variétés lagrangiennes monotones, Thesis IRMA 2008/001,
can be consulted on TEL.
Seminars and conferences
Colloquia
April 2013: Lagrangian embeddings : constructions and obstructions, presentation of the new
Ciência researchers, Porto.
February 2012: Plongements lagrangiens : constructions et obstructions, Neuchâtel.
Schools and conferences
October 2021 : Weinstein handlebodies for complements of smoothed toric divisors,
Uppsala-Nantes Workshop on Lagrangian
cobordisms and Floer theory, Haga Slott, Enkoping.
August 2021 : Categorical action of the braid group of the cylinder,
Topological Fukaya categories of
surfaces with stops via gentle algebras Research school, Cologne University.
February 2020 : Categorical action of the braid group of the cylinder : symplectic aspect,
SIMMAC conference,
Universidad de Costa Rica.
July 2020 : Toric constructions of monotone Lagrangian submanifolds in CP^2 and CP^1xCP^1,
workshop WiSCon ICERM, Providence.
Mai 2019: Conference on Interaction between Representation Theory and Homological Mirror Symmetry, University of Leicester.
September 2018: Fukaya category and Lefschetz fibrations (after Seidel), Workshop Tresses exceptionnelles, Université de Dijon.
March 2018: Categorical action of the braid group of the cylinder: symplectic aspect, Mini-Workshop on Symplectic Geometry, Utrecht University.
December 2017: Categorical action of the braid group of the cylinder: symplectic aspect, Workshop Categorification, representation theory and symplectic geometry, Hausdorff Research Institute for Mathematics, Bonn.
June 2017: Categorical action of the braid group of the cylinder: symplectic aspect, Women in Geometry and Topology, SwissMAP, ETH Zurich.
July 2016: Toric constructions of monotone Lagrangian submanifolds in CP^2
and CP^1 x CP^1, Encontro nacional,
Barreiro, Portugal.
June 2015: Toric constructions of monotone Lagrangian submanifolds in CP^2 and CP^1 x CP^1, contributed talk,
joint AMS-EMS-SPM meeting, Porto,
Portugal.
June 2011: Exact Floer-Fukaya theory,
2011 MIT-RTG
Geometry workshop, with David Nadler, Breckenridge, Colorado.
December 2009: Monotone Lagrangian embeddings into cotangent bundles,
Colloque Paulette
Libermann - Héritage et descendance, Institut Henri Poincaré, Paris.
August 2009: Obstructions to the existence of monotone Lagrangian embeddings into cotangent
bundles, Connections for Women:
Symplectic and Contact Geometry and Topology, MSRI, Berkeley.
February 2009: The theorem of Gromoll-Grove, Winter
school on closed geodesics, Neuchâtel.
Seminars
- About the Floer-Novikov fundamental group.
2022 : Séminaire SymplectiX, IHP, Paris.
- About the Weinstein handlebody diagrams for the complement of the smoothing of some toric divisors.
2021 : Séminaire de Géométrie, Topologie et Dynamique, Orsay.
2020 : Geometri och Topologi seminariet, Uppsala.
- About the Novikov fundamental group.
2020 : Séminaire Nantes-Orsay, Orsay.
- On the symplectic aspect of the categorical action of the braid group
2019 : Geometri och Topologi seminariet, Uppsala - BGHK-seminar, Heidelberg - Symplectic Geometry seminar, ETH Zurich.
2018 : Séminaire de Géométrie, Dynamique et Topologie, Marseille.
2017: Séminaire de Géométrie et Topologie, Toulouse - Oberseminar Geometrie und Topologie, Stuttgart - Séminaire de Topologie, Grenoble.
2016: Séminaire Nantes-Orsay, Nantes.
- On the construction of monotone Lagrangian submanifolds in toric manifolds
2017: Séminaire Géométrie, Topologie, Dynamique, Orsay - Séminaire Géométries, ICJ Lyon.
2016: Geometry seminar, Coimbra - Séminaire TSG, Grenoble.
2015: Geometry and Topology seminar, Porto - Symplectic Geometry and Topology Program seminar, Institut Mittag-Leffler.
2014: Séminaire de Topologie et Géométries algébrique, Nantes.
2013: Séminaire de Géométries et applications, Strasbourg.
- On the exotic monotone Lagrangian tori
2013: Séminaire de Géométries et Systèmes dynamiques, Dijon.
2012: Geometry and Topology seminar, Porto - Séminaire de Systèmes Dynamiques, Neuchâtel -
Topology Seminar, Cambridge.
2011: Geometria em Lisboa Seminar, IST, Lisbon - Geometry Seminar, Leeds -
Algebraic and Symplectic Geometry Seminar, Oxford - Séminaire de Géométrie et Dynamique,
ENS Lyon - Séminaire Symplect'X, Institut de Mathématiques de Jussieu, Paris - KCL Geometry
Seminar, King's college, Londres.
- On the monotone Lagrangian embeddings in the cotangent bundles
2009: Séminaire de Topologie, Géométrie et Algèbre, Université de Nantes - Séminaire
Darboux, Université Montpellier 2 - Journée symplectique, Institut de mathématiques de Jussieu,
Paris.
2008: Séminaire de Topologie en petite dimension, Université Paul Sabatier, Toulouse -
Séminaire de Géométrie Symplectique et de Contact, Université Libre de Bruxelles -
Oberseminar Geometrie, Université Ludwig-Maximilians de Munich.
- On the symplectic cuts
2006: Séminaire Symplect'X, Centre de Mathématiques Laurent Schwartz, Paris.