Research

You will find in this page a brief description of my research interests, a list of my works and a list of the talks that I gave in different seminars.

Interest areas

I work with spherical CR structures on three-dimensional manifolds. I am also interested in the neighboring areas: three dimensional topology, Dehn surgery, geometric structures, real and compex hyperbolic geometry...
I am also interested in character varieties of finitely generated groups, and the points coming from representations with values in some real form.

• Articles and preprints

• A hyperbolic proof of Pascal's theorem

  With Jean-Marc Schlenker

  Math Intelligencer 43, 130–133 (2021). DOI: 10.1007/s00283-021-10074-w

  Pdf Arxiv Journal

• On GIT quotients and real forms

  Preprint, may 2020

  Arxiv

• On the limit set of a spherical CR uniformization

  Algebraic & Geometric Topology 22 (2022) 3305-3325. DOI: 10.2140/agt.2022.22.3305

  Pdf Arxiv Journal

• Character varieties for real forms of classical complex groups

  Preprint, august 2019 Warning

  As wisely pointed out by A.G., this article is not good enough for publication in a journal. The main results are strictly contained in the article "On GIT quotients and real forms"

  Arxiv

• Spherical CR uniformization of Dehn surgeries of the Whitehead link complement

  Geometry & Topology 23 (2019) 2593–2664. DOI: 10.2140/gt.2019.23.2593

  Pdf Arxiv Journal

• Character varieties for real forms

  Geometriae Dedicata (2019) 203: 257. DOI: 10.1007/s10711-019-00435-3

  Pdf Arxiv Journal

• Spherical CR Dehn surgeries

  Pacific Journal of Mathematics, vol. 284, nᵒ 2, p. 257‑282, 2016. DOI 10.2140/pjm.2016.284.257

  Pdf Arxiv Journal

• Other works

• Chirurgies de Dehn sur des variétés CR-sphériques et variétés de caractères pour les formes réelles de SL(n,C)

  PhD thesis, defended on december the 7th 2017 at the UPMC, and advised by Antonin Guilloux and Martin Deraux

  Pdf

• Structures géométriques sur les variétés de dimension 3

  An introdution to my research area (2013, in French)

  Pdf

• Volumes de variétés hyperboliques de dimension 3

  Master's thesis, directed by Antonin Guilloux and defended on may 2013 at UPMC (in French)

  Pdf

• Talks 2018-2019

• An important NP-hard problem (Pecha Kucha - 6'40" talk)

  17/12/19 RMATH end of year event (Luxembourg)

  Slides

• Ensembles limites et uniformisations au bord du plan hyperbolique complexe

  25/11/19 Paroles aux jeunes chercheur·es en Géométrie et Dynamique (Nancy)
  15/11/19 Séminaire Géométrie-Dynamique (Lille)

• Variedades de caracteres para las formas reales de SL(n,C)

  15/08/19 Coloquio del departamento de Matemáticas (UNAL, Bogotá)

• One-parameter subgroups and deformation of cusps in geometric structures

  13/06/19 Geometry in Action and Actions in Geometry (Nancy)

• Fundamental domains in the complex hyperbolic plane and its boundary at infinity

  09/05/19 Differential geometry seminar (Heidelberg)
  29/10/18 Geometry and Topology seminar (Luxembourg)

• Variétés de caractères pour les formes réelles de SL(n,C)

  12/04/18 Séminaire d'algèbre et de géométrie (Caen)
  26/03/18 Séminaire Géométrie, Dynamique et Topologie (Marseille)
  09/03/18 Séminaire Géométrie-Dynamique (Lille)

• Les volumes hyperboliques sont bien ordonnés

  13/02/18 Séminaire des non permanents de l'IECL