Mathematics

What is an operad? What does it eat in winter?

I am a postdoc at the Centre for Quantum Mathematics in Odense, working with Vivek Shende. Previously, I was a Research Fellow at the University of Melbourne, working with Marcy Robertson.

I completed my Ph. D. thesis under the supervision of Eric Hoffbeck and Bruno Vallette within the program Cofund of the Fondation Sciences Mathématiques de Paris. My thesis has been awarded the Prix de thèse Galilée from Université Sorbonne Paris Nord and a Prix solennel de thèse 'toutes spécialités' from the Chancellerie des universités de Paris.

My research consists in the study of higher algebraic structures, often with the help of discrete geometry and the theory of (fiber) polytopes. A recent and important part of my work is the study of the Kashiwara–Vergne problem from the operadic perspective. My past and present work touches to the areas of algebraic topology, higher category theory, categorical symplectic geometry, quantum algebra, as well as discrete geometry and algebraic combinatorics.

Keywords: Homotopy, Operads, Polytopes.

Here is my CV (June 2024) and a research statement (Sept. 2021).



Research

Publications and preprints.
  
The subdivision of the 3-dimensional permutahedron induced by a cellular approximation of the diagonal. 

Talks

Upcoming.


Utrecht, February 17th, 2023. Picture credit: Marius Crainic.


Previous research talks.

Recording of the talk.


  • Categorical coherence, polytopes, and Koszul duality, invited talk at Higher Structures in Prague, September 13, 2022, 14:00 UTC+2, Institute of Mathematics of the Czech Academy of Sciences, Prague, Czech Republic.
  • Diagonals of polytopes and higher structures, September 7th, 2022, 15:15 GMT+2, University of Copenhagen, Denmark.
  • Ph. D. defense, Monday June 27th, 2022, Amphi Euler, Institut Galilée, Université Sorbonne Paris Nord, Villetaneuse, France. Slides (in French). Expo. Picture!
  • Diagonals of polytopes and higher structures, Thursday May 19th, 2022, 14:00 GMT+2, DGeCo Seminar, Sorbonne Université, Paris, France.
  • Diagonals of polytopes and higher structures, Thursday May 5th, 2022, 11:00 GMT+2, Topology, Geometry and Algebra Seminar, Nantes Université, Nantes, France.
  • Diagonals of polytopes and higher structures, Friday February 25, 2022, 15:10 GMT+2, Higher Algebraic Structures Seminar, Mittag-Leffler Institute, Djursholm, Sweden.

Recording of the talk.





Previous expository talks.

Seminars, Conferences & Workshops

The Quantum Mathematics Research Seminar usually takes place at 3pm on Mondays.

Previously, I co-organized the Topology Seminar and the Graduate Topology Seminar at the University of Melbourne.

Upcoming.
Past events.

Research stays


Working groups

This semester, I am co-organizing a working group on deformation quantization with Alyosha Latyntsev. We are usually meeting at 2pm on Fridays, at the seminar room of QM.

Past events.


Theses
In the 3rd chapter, I tried to give the intuition of operads as « treelike » generalization of associative algebras. Section 2.6 and the beginning of Chapter 4 try to give the intuition for associative algebras up to homotopy and their tensor product.



Teaching

Courses.
Tutorials.

The University of Melbourne
Université Sorbonne Paris Nord
ESIEE Paris


Others


I can be found on Google scholar, ORCiD, Stack Exchange, Math Genealogy.