E-mail: email

Research

I work on non-archimedean geometry, tropical geometry and mirror symmetry. I aim to build a theory of enumerative geometry in the setting of Berkovich spaces, which I call non-archimedean enumerative geometry. The theory will give us a new understanding of curve counting in Calabi-Yau manifolds, as well as the structure of their mirrors. It is also intimately related to the theory of cluster algebras and wall-crossing structures. I am awarded the Clay Research Fellowship in 2016.

Papers: (BibTeX entries)

  1. (with M. Porta) Representability theorem in derived analytic geometry, (arXiv:1704.01683).
  2. Enumeration of holomorphic cylinders in log Calabi-Yau surfaces. II. Positivity, integrality and the gluing formula, (arXiv:1608.07651).
  3. (with M. Porta) Derived non-archimedean analytic spaces, (arXiv:1601.00859), To appear in Selecta Mathematica.
  4. Enumeration of holomorphic cylinders in log Calabi-Yau surfaces. I, Mathematische Annalen, 366(3):1649-1675, 2016.
  5. Gromov compactness in non-archimedean analytic geometry, (arXiv:1401.6452), To appear in Journal für die reine und angewandte Mathematik (Crelle).
  6. (with M. Porta) Higher analytic stacks and GAGA theorems, Advances in Mathematics, 302:351–409, 2016.
  7. Balancing conditions in global tropical geometry, Annales de l'Institut Fourier, 65(4):1647–1667, 2015.
  8. Tropicalization of the moduli space of stable maps, Mathematische Zeitschrift, 281(3):1035–1059, 2015.
  9. The number of vertices of a tropical curve is bounded by its area, L’Enseignement Mathématique, 60(3-4):257–271, 2014.

My thesis: Premiers pas de la géométrie énumérative non archimédienne, defended in December 2015.

Invited Talks

  • 2018.08 ICM 2018 satellite conference on Tropical Geometry and Moduli Spaces, Rio de Janeiro, Brazil
  • 2018.03 Moduli spaces of curves and mirror symmetry, Institut Mittag-Leffler, Sweden
  • 2017.07 String-Math conference, Universität Hamburg, Germany
  • 2017.07 Hausdorff Kolloquium, Hausdorff Center for Mathematics, Universität Bonn, Germany
  • 2017.06 Non-Archimedean geometry, motives and vanishing cycles, Institut Mittag-Leffler, Sweden
  • 2017.06 Algebraic Analysis in honor of Masaki Kashiwara’s 70th birthday, Institut des Hautes Études Scientifiques, France
  • 2017.05 Simons Symposium on Non-Archimedean and Tropical Geometry, Krün, Germany
  • 2017.05 Biannual Algebraic and Tropical Meetings of Brown and Yale, Brown University, USA
  • 2017.03 The Mathematics Colloquium, Rutgers University, USA
  • 2017.03 Homological mirror symmetry: emerging developments and applications, Institute for Advanced Study, Princeton, USA
  • 2017.03 Brandeis-Harvard-MIT-Northeastern Colloquium, Harvard University, USA
  • 2017.03 Geometric Representation Theory Seminar, Massachusetts Institute of Technology, USA
  • 2017.02 Mini-courses, Special program on Homological Mirror Symmetry, Institute for Advanced Study, Princeton, USA
  • 2017.02 Member's seminar, Institute for Advanced Study, Princeton, USA
  • 2016.11 Séminaire Arithmétique et Géométrie Algébrique, Université Paris-Sud, Orsay, France
  • 2016.11 Seminar Algebraic Geometry, Max Planck Institute for Mathematics, Bonn, Germany
  • 2016.10 Lecture series, Berkovich spaces and degenerations of Calabi-Yau varieties, Mathematical Research Institute of Oberwolfach, Germany
  • 2016.08 The 7th International Congress of Chinese Mathematicians, Beijing, China
  • 2016.07 Regensburg days on non-archimedean geometry, Universität Regensburg, Germany
  • 2016.06 Calabi-Yau varieties: Arithmetic, geometry and physics, Herstmonceux Castle, Queen's University, East Sussex, UK
  • 2016.06 The London Geometry and Topology Seminar, Imperial College London, UK
  • 2016.03 Tropical Geometry and Related Topics, Kyoto University, Japan
  • 2016.03 Mathematics and string theory seminar, Kavli Institute for the Physics and Mathematics of the Universe, Tokyo, Japan
  • 2016.03 Séminaire de topologie, Institut Fourier, Université Joseph Fourier, Grenoble, France
  • 2016.03 Séminaire de Géométrie Algébrique, Institut Montpelliérain Alexander Grothendieck, Université de Montpellier, France
  • 2016.03 Séminaire de Mathématique Physique, Institut de mathématiques de Bourgogne, Université de Bourgogne, Dijon, France
  • 2016.02 Winter School on Tropical Geometry, Berkovich Spaces and Mirror Symmetry, KIAS, Seoul, South Korea
  • 2016.02 Séminaire de Géométrie et Singularités, Université de Rennes 1, Rennes, France
  • 2016.02 Séminaire de Théorie des Nombres, Université de Caen Normandie, France
  • 2016.01 Lecture series, University of Texas at Austin, Texas, USA
  • 2016.01 Séminaire de géométrie algébrique, champs et homotopie, Université Toulouse III, France
  • 2016.01 Séminaire de géométrie algébrique, Université d’Angers, France
  • 2015.12 Non-Archimedean Geometry and Applications, Oberwolfach, Germany
  • 2015.11 Algebraic Geometry and Complex Geometry, CIRM Luminy, Marseille, France
  • 2015.11 Séminaire Géométrie, Dynamique et Topologie, Aix-Marseille Université, France
  • 2015.11 Séminaire d'algèbre, topologie et géométrie, Université Nice Sophia Antipolis, Nice, France
  • 2015.10 Séminaire de géométrie algébrique, École normale supérieure, Paris, France
  • 2015.10 Séminaire Théorie des Nombres, Université de Bordeaux, France
  • 2015.08 Students' Workshop on Tropical and Non-Archimedean Geometry, Universität Regensburg, Germany
  • 2015.07 AMS Summer Institute in Algebraic Geometry, University of Utah, Salt Lake City, USA
  • 2015.06 Singular Landscapes 2015, conférence en l'honneur de Bernard Teissier, Centre Paul-Langevin, Aussois, France
  • 2015.06 Non-Archimedean Geometry and its Applications, University of Michigan, Ann Arbor, USA
  • 2015.05 Séminaire de géométrie algébrique, Université de Rennes 1, Rennes, France
  • 2015.04 Séminaire Mathjeune, École normale supérieure, Paris, France
  • 2015.03 Séminaire de Géométrie et Quantification, Institut Henri Poincaré, Paris, France
  • 2015.02 Geometry Seminar, Cinvestav, Gustavo A. Madero, Mexico
  • 2015.01 Séminaire Géométries, Institut Camille Jordan, Université Claude Bernard Lyon 1, Lyon, France
  • 2014.12 Current Developments of Mirror Symmetry, TSIMF, Sanya, China
  • 2014.12 Seminar on Mirror Symmetry, Institut Henri Poincaré, Paris, France
  • 2014.11 TROPGEO conference, Saas Fee, Switzerland
  • 2014.11 Einstein Institute of Mathematics, The Hebrew University of Jerusalem, Jerusalem, Israel
  • 2014.11 Weizmann Institute of Science, Rehovot, Israel
  • 2014.11 Barcelona Mathematical Days, Institut d'Estudis Catalans, Barcelona, Spain
  • 2014.11 Tropical Geometry in Europe, Itinerant Seminar, Université Paul Sabatier, Toulouse, France
  • 2014.09 Séminaire des thésards, University Pierre et Marie Curie, Paris, France
  • 2014.07 Workshop on tropical geometry and related topics, Swansea University, Wales, UK
  • 2014.06 Nordfjordeid summer school 2014: Toric degenerations and mirror symmetry, Sophus Lie Conference Center, Nordfjordeid, Norway
  • 2014.05 Oberseminar: Algebraische Geometrie, Universität Zürich, Switzerland
  • 2014.05 Lecture series, Forschungsseminar Komplexe Geometrie, Universität Hamburg, Germany
  • 2014.05 Oberseminar über Arakelov-Theorie, Universität Regensburg, Germany
  • 2014.03 Complex-algebraic aspects of tropical geometry, École polytechnique fédérale de Lausanne, Switzerland
  • 2014.03 Journée géométrie tropicale, École Polytechnique, France
  • 2014.01 Conference on homological mirror symmetry, University of Miami, USA
  • 2013.10 Séminaire de géométrie tropicale, University Pierre et Marie Curie, Paris, France
  • 2013.06 Cluster algebras and tropical geometry (Dedicated to the memory of Andrei Zelevinsky), Institut de Recherche Mathématique Avancée, Université de Strasbourg, France
  • 2013.05 Séminaire de géométrie tropicale, University Pierre et Marie Curie, Paris, France
  • 2013.05 Séminaire Bourbakette, Université Paris Diderot, Paris, France
  • 2013.02 Séminaire Mathjeune, École normale supérieure, Paris, France

Teaching

  • 2013/2014 L1/S2 52U3MT12 Mathématiques Travaux Dirigés (sujets)
  • 2014/2015 LBIOS1 Mathématiques pour biologistes, Travaux Dirigés
  • 2015/2016 LBIOS1 Mathématiques pour biologistes, Travaux Dirigés