Colin Davalo
email: colinmarcthierry.davalo (at) unito.it
I am a postdoc in the department of Manthematics "Giuseppe Peano" of the university of Torino, working for the ERC project GENERATE supervized by Andrea Seppi . I did my PhD in the university of Heidelberg, under the supervision of Beatrice Pozzetti .
Research interests:
Hitchin and maximal representations of surface groups, Anosov representations, symmetric spaces of non-compact type, domains of discontinuity in flag manifolds.
Here you can find my CV.
Preprints:
- Finite-sided Dirichlet domains and Anosov subgroups (with Max Riestenberg)
Preprint. arxiv
- Anosov deformations of Barbot representations (with Samuel Bronstein)
Preprint. arxiv
- Geometric Structures for G_2'-Surface Group Representations (with Parker Evans)
Preprint. arxiv
- On Geometric Structures in the Einstein Universe for SO_0(p,p+1)-Hitchin Representations (with Parker Evans)
Preprint. arxiv
Publications:
- Geometric structures for maximal representations and pencils
Accepted for publication in "Forum of Mathematics: Sigma" (2026) arxiv
- Nearly geodesic immersions and domains of discontinuity
Geometry & Topology, 29 (2025) doi, arxiv
- Maximal and Borel Anosov representations in Sp(4,R)
Advances in Mathematics
Volume 442, (2024) doi, arxiv
- Projective structures with (Quasi-)Hitchin holonomy (with Daniele Alessandrini and Qiongling Li)
Journal of the London Mathematical Society,Volume 110, Issue 4 (2024). doi, arxiv
Here is a link to my
PhD Thesis entitled "Geometric structures and representations of surface groups".
Here are some
pictures illustrating the objects that I like to study.
Teaching:
- Winter 2021/2022: Tutor in Heidelberg for "A first course in dynamical system and ergodic theory".
- Summer 2023: Tutor in Heidelberg for "Introduction to Ergodic Theory".