Brief description of my research:

Last year, I aimed to find nice families of representations for which you could hope to get quantitative information on their infinitesimal variations (this was motivated by the Pressure metric). I cannot say I was successful, but I learned some things about discrete representations of triangle groups into \(SL_3 (\mathbb{R})\) and about G-opers. We are currently trying to write that down. Lately, I’ve been thinking about how to produce deformations of lattices in \(PU(1,2)\) into \(PGL_n (\mathbb{C})\), but sadly, time is finite.

In preparation

• \(SL_3 (\mathbb{R})\) triangle group representations from the inside
  Joint with Joaquin Lejtreger
• An Epstein construction for G-opers

Preprints

Nothing here yet :(

Publications

• 
  Uniform foliations with Reeb components.
  Published in: Algebraic & Geometric Topology, 2023