Research

The title of my PhD thesis is "The Universal property of the homotopical theory of dg-categories", and it is done under the supervision of Bertrand Toën and Frédéric Déglise.

My research project consists in finding a model for linear infinity-categories by using some linear version of the simplex category Delta. We will use that to determine the universal property of the theory of linear infinity-categories. In particular, we will calculate the automorphism groups of that category.

Keywords :Derived Algebraic Geometry, Category Theory, linear infinity-categories, dg-categories, universal property, homotopic category, model categories, simplicial categories.

• 2018-present : ALPE seminar, Toulouse and Montpellier Universities.
• 9-13 September 2019 : The Geometry of Derived Categories, University of Liverpool (presentation of a poster).
• 3-7 June 2019 : New Perspectives in Gromov-Witten Theory, IMJ-PRG, Sorbonne Université, Paris.
• 31 January-8 February 2019 : Introductory Workshop: Derived Algebraic Geometry and Birational Geometry and Moduli Spaces , Mathematical Sciences Research Institute (MSRI), Berkeley.
• 28-30 January 2019 : Connections for Women: Derived Algebraic Geometry, Birational Geometry and Moduli Spaces, Mathematical Sciences Research Institute (MSRI), Berkeley.
• 5-7 December 2018: ANR starting conference, Angers University (talk called "The universal property of the homotopical theory of dg-categories").
• 7-9 November 2018: Universalité de la théorie A1-homotopique stable d'après Marco Robalo , Bourgogne University, Dijon (talk called "Quasi-categories and simplicial categories").
• 26 September-5 October 2018: CATS5 , Lisbon.
• 27 June-2 July 2018: Model-independent theory of ∞-categories , MIT Talbot Workshop, Oregon.
• 14-18 May 2018: Motivic homotopy theory and refined enumerative geometry , Universität Duisburg-Essen, Essen.
• 5-9 February 2018: Winter School: A^1-Homotopy Theory , FRIAS Cohomological Methods in Algebraic Geometry and Representation Theory program, Freiburg (talk called "Bousfield localization; the unstable A^1-homotopy category").
• 3-7 June 2017: Current Topics in the Theory of Algebraic Groups , Bourgogne University, Dijon.