Since September 2016, I am maître de conférence in Dijon.
In the academic year 2018/19 I will be working at Lille (délégation at INRIA and Laboratoire Paul Painlévé).
Contact: michele [dot] triestino *at* ubourgogne [dot] fr
NEW: Onedimensional actions of 3manifold groups. workshop in Dijon, November 48 2019.
See the webpage.
Research
At the present moment I am studying groups of circle diffeomorphisms that could be considered as geometrically finite
inside \(\mathrm{Diff}(\mathbf{S}^1)\). In general, I am interested in group actions on lowdimensional manifolds, with problems coming from foliation theory and/or group theory.
In preparation:

Sharp differentiable rigidity of Fuchsian groups,
(joint work with
Bertrand Deroin and
Victor Kleptsyn).

Pingpong partitions and locally discrete groups of realanalytic circle
diffeomorphisms, II: Applications,
(joint work with
Sébastien Alvarez, Pablo Barrientos, Dmitry Filimonov,
Victor Kleptsyn,
Dominique Malicet, and
Carlos Meniño).

Pingpong partitions and locally discrete groups of realanalytic circle
diffeomorphisms, I : Construction,
(joint work with Juan Alonso,
Sébastien Alvarez,
Dominique Malicet, and
Carlos Meniño).
Publications and preprints:

Onedimensional actions of Higman's group,
(joint work with Cristóbal Rivas) [arXiv]

Groups of piecewise linear homeomorphisms of minimal flows,
(joint work with
Nicolás Matte Bon)
[arXiv]

Property FW, differentiable structures, and smoothability of singular actions,
submitted (joint work with
Yash Lodha
and Nicolás Matte Bon)
[arXiv]

Cutoff method for endogeny of recursive tree processes,
(joint work with
Victor Kleptsyn) [arXiv]

Groups with infinitely many ends acting analytically on the circle,
submitted (joint work with
Sébastien Alvarez, Dmitry Filimonov,
Victor Kleptsyn,
Dominique Malicet,
Carlos Meniño and
Andrés Navas)
[arXiv]

Pingpong configurations and circular orders on free groups,
to appear in Groups Geom. Dyn. (joint work with
Dominique Malicet,
Kathryn Mann and
Cristóbal Rivas)
[arXiv]

Hyperbolicity as obstruction to smoothability for onedimensional actions,
to appear in Geom. Topol. (joint work with
Christian Bonatti and Yash Lodha)
[arXiv]

Stationary random metrics on hierarchical graphs via \((\min,+)\)type recursive distributional equations,
Commun. Math. Phys. 345, no. 1 (2016), 1–76 (joint work with
Mikhail Khristoforov
and Victor Kleptsyn)
[CMP, arXiv].
 Généricité au sens probabiliste dans les difféomorphismes du cercle,
Ensaios Matemáticos 27, Soc. Brasil. Mat. (2014), 1–99.
[EM, arXiv]

On the invariant distributions of \(C^2\) circle diffeomorphisms of irrational rotation number,
Math. Z. 274, no. 1 (2013), 315–321 (joint work
with
Andrés Navas)
[Math. Z., arXiv]
Workshop: Groups acting on manifolds. I was the organizer for a workshop for young researchers,
Teresópolis, June 2024 2016.
 See the webpage.

Lecture notes:
Entropy, smooth ergodic theory and rigidity of group actions, by Aaron Brown.
With appendices by Sébastien Alvarez, Dominique Malicet, Davi Obata, Mario Roldán, Bruno Santiago and Michele Triestino. Edited by Michele Triestino.
To appear in Ensaios Matemáticos, Soc. Brasil. Mat.
[arXiv].
CV (April 2019)
My wife, Marielle Simon is also a mathematician.