About me
I am a PhD student in Pure Mathematics at Sorbonne Université, working at the IMJ-PRG under the supervision of Andrés Sambarino. My main field of research is Anosov representations. In particular, I study deformations of the Barbot representation in SL(3, ℝ) and representations of Coxeter groups into higher-rank Lie groups. I am especially interested in the geometric structures these representations parametrize and in constructing fundamental domains in the associated symmetric spaces. My other interests include hyperbolic geometry, low-dimensional topology, and the pressure metric in the Hitchin component for triangle groups.
I also like programming, I use Python and Julia to produce visualizations of limit curves of Anosov representations (with Matplotlib and Makie) and to experiment with computational aspects of my research.
If you want to contact me you can find me at lejtreger(at)imj-prg(dot)fr
