Research interest
I work on analytic spaces over nonArchimedean fields. Such spaces can be seen as rigid spaces, as defined by Tate in the 70's. Later V.
Berkovich gave a new viewpoint on the subject, introducing socalled kanalytic spaces. In the same way, R. Huber introduced adic spaces
which gives another treatment of nonArchimedean analytic geometry.
I try to work with all these theories, though I have mainly studied Berkovich's formalism.
Inside the world of nonArchimedean analytic geometry, my goal is to develop a theory of constructible sheaves which would be stable under as many operations as possible.
This lead me to study nonArchimedean subanalytic sets, in particular the work of L. Lipshitz, and also to do some model theory (of algebraically closed valued fields).
Publications

[1]
Cohomolgie étale des ensembles semialgébriques dand les espaces de Berkovich,
Proceedings of the 12th Forum des jeunes mathématiciennes held at the IHP Paris (from 1214 November 2012).

[2]
Constructibility in Berkovich spaces,
Phd Thesis defended on October 7, 2013 at Pierre and Marie Curie University (Paris 6),
under the supervision of
JeanFrançois Dat and
Antoine Ducros.

[3] Cohomology of locally closed semialgebraic subsets,
Manuscripta Mathematica (2014), Volume 144 (Issue 34), 373400.

[4] A note on tropicalization in the context of Berkovich spaces,
Israel Journal of Mathematics, 210 (2015) n. 1, 323334.

[5] Equations over free inverse monoids with idempotent variables
(with Volker Dikert, Géraud Sénizergues and Pedro V. Silva)
Lecture Notes in Computer Science, 9139 (2015), 173188.

[6] Overconvergent subanalytic subsets in the
framework of Berkovich spaces,
Journal of the European Mathematical Society, 18 (2016) n 10, 24052457.

[7]
Analytic functions on tubes of nonArchimedean analytic spaces,
with an appendix by Christian Kappen,
Algebra and Number theory, 11 (2017),
657683.

[8] A definable padic analogue of Kirszbraun's Theorem on extensions of Lipschitz maps (with Raf Cluckers)
Journal of the Institute of Mathematics of Jussieu,
published online,
doi: 10.1017/S1474748015000390.

[9] Equations over free inverse monoids with idempotent variables
(with Volker Dikert, Géraud Sénizergues and Pedro V. Silva),
Theory of Computing Systems, published online, doi:10.1007/s0022401696931.
Preprints
Other docments (Master's thesis, notes of lectures and expository works).

Connexité de certains espaces de Berkovich,
my master's thesis in mathematics, under the supervision of Antoine Ducros (then at Nice SophiaAntipolis University).

Channel machines,
my master's thesis in computer science, under the supersvision of
James Worrell (Oxford University, department of computer science).

Tameness for connected components of some subsets of Berkovich spaces
A text where I prove that subanalytic sets in Berkovich spaces have finitely many connected components.

An introduction to adic spaces.
 Some
notes containing some remarks that I wrote while reading the article Continuous Valuations of Roland Huber.
 Some
notes of a mini course on Berkovich spaces for a Student Workshop (Regensburg, August 2015).
 Some
notes of a talk given in Regensburg for the course Linear groups and heights (by Walter Gubler and Clara Löh).
It details a model theoretic argument of Emmanual Breuillard explaining that the Uniform Tits Alternative can be reduced to number fileds.

A note where I prove that a complex analogue of the TarskiSeidenberg theorem about real semialgebraic sets does not hold.