2024
The set of elementary tensors is weakly closed in projective tensor products,
preprint (2024), arXiv:2404.03322.
A pre-adjoint approach on weighted composition operators between spaces of Lipschitz functions,
with Arafat Abbar and Clément Coine, Results Math 79, 85 (2024).
2023
A note on the spectrum of Lipschitz operators and composition operators on Lipschitz spaces,
with Arafat Abbar and Clément Coine, preprint (2023), arXiv:2310.08965.
Injectivity of Lipschitz operators,
with Luis García-Lirola and Antonín Procházka,
Bull. Malays. Math. Sci. Soc. 46, 68 (2023).
On Kalton's interlaced graphs and nonlinear embeddings into
dual Banach spaces,
with Bruno Braga, Gilles Lancien and
Antonín Procházka, Journal of Topology and Analysis, Vol. 15, No. 2 (2023) 467-494.
2022
Purely 1-unrectifiable metric spaces and locally flat Lipschitz functions,
with Ramon J. Aliaga, Chris Gartland, and Antonín Procházka,
Trans. Amer. Math. Soc. 375 (2022), 3529-3567.
Compact and weakly compact Lipschitz operators,
with Arafat Abbar and Clément Coine,
Proceedings of the Royal Society of Edinburgh: Section A Mathematics (2022), 1-19.
2021
Compact reduction in Lipschitz free spaces,
with Ramon J. Aliaga and Antonín Procházka,
Studia Math. 260 (2021), no. 3, 341-359.
Embeddings of Lipschitz-free spaces into l1,
with Ramon J. Aliaga and Antonín Procházka,
J. Funct. Anal. 280 (2021), no. 6, Paper No. 108916, 26 pp.
On the dynamics of Lipschitz operators,
with Arafat Abbar and Clément Coine,
Integral Equations Operator Theory 93 (2021), no. 4, Paper No. 45, 27 pp.
On the weak maximizing properties,
with Luis García-Lirola,
Banach J. Math. Anal. 15 (2021), no. 3, Paper No. 55, 29 pp.
2020
Supports in Lipschitz-free spaces and applications to
extremal structure,
with Ramon J. Aliaga, Eva Pernecká and Antonín Procházka,
J. Math. Anal. Appl. 489 (2020), no. 1, 124128, 14 pp.
On the coarse geometry of James spaces,
with Gilles Lancien and Antonín Procházka,
Canad. Math. Bull. 63 (2020), no. 1, 77–93.
2018
On exposed points of Lipschitz free spaces,
with Antonín Procházka, preprint (2018), arxiv:1810.12031.
Extremal structure and duality of Lipschitz free spaces,
with Luis García-Lirola, Antonín Procházka and Abraham Rueda Zoca,
Mediterr. J. Math. 15 (2018), no. 2, Art. 69, 23 pp.
A partial answer to the Demyanov Ryabova conjecture
with Aris Daniilidis, Set-Valued Var. Anal. 26 (2018), no. 1, 143–157.
2017
On the structure of spaces of vector-valued Lipschitz functions,
with Luis García-Lirola and Abraham Rueda Zoca, Studia Math. 239 (2017), no. 3, 249–271.
Lipschitz-free spaces and Schur properties,
J. Math. Anal. Appl. 453 (2017), 894–907.
I did my Ph.D. in Besançon from September 2015 to June 2018 under the supervision of Gilles LANCIEN and Antonín PROCHAZKA. I spent most of my time working on free spaces but I also studied embeddings during the last year of it. Furthermore, I spent 2 month in Santiago de Chile working with Prof. Aris. Daniilidis. Here is my Ph.D. thesis :
Ph.D. Thesis: Some aspects of the geometry of Lipschitz free spaces (2018).
For those who are interested, here is the beamer I used
during the defense:
Beamer of the defense
(2018).
Here is a poster that I presented in June 2019 for the conference on the occasion of Robert Deville’s 60th birthday (Metabief, France): Banach spaces and optimization.
Concentration Phenomena for Kalton's Interlaced Graphs (2019).
Here is a poster that one of my collaborator, Luis García-Lirola, presented in March 2018 at a conference on Non Linear Functional Analysis (CIRM de Marseille, France):
"Lluís Santaló School 2023",
Santander, Spain (July 2023)
On the weak topology in Lipschitz free spaces
"Seminar on Geometry of Banach spaces",
Kraków (online), Poland (January 2022)
Some remarks about Lipschitz-free operators
"Seminaire informel d'Analyse",
Marne-la-Vallée, France (September 2021)
Martingales et (RNP) dans les espaces Lipschitz-libres
"Journées du GDR
Analyse Fonctionnelle Harmonique et Probabilités",
CIRM (online), France (October 2020)
Some remarks on the dynamics of Lipschitz operators
"Journées du GDR
Analyse Fonctionnelle Harmonique et Probabilités",
Grenoble, France (October 2019)
Embeddings of Lipschitz free spaces into l1
"Journée de la fédération Bougogne Franche-Comté de Mathématiques",
Dijon, France (October 2018)
Sur les fonctions Lipschitziennes qui atteignent leur norme
"Second Brazilian Workshop in Geometry of Banach Spaces", Ubatuba, Brasil
(August 2018)
Coarse embeddings of Kalton's interlaced graphs
"Conference on Non Linear Functional Analysis",
Universitat de Valencia, Spain (October 2017)
The linear structure of some dual Lipschitz-free spaces
"Journées du GDR
Analyse Fonctionnelle Harmonique et Probabilités",
Bordeaux, France (October 2017)
Around some properties of dual Lipschitz-free spaces
"Seminario Optimization y Equilibrio", Center for Mathematical Modeling,
Universidad de Chile, Santiago (May 2017)
Some aspects of the structure of Lipschitz-free spaces and vector-valued Lipschitz
functions
"Séminaire d'Analyse Fonctionnelle de Besançon",
Laboratoire de Mathématiques de Besançon, Université
de Bourgogne Franche-Comté (January 2017)
Schur properties over some Lipschitz free-spaces
"Journées Besançon-Neuchâtel
d'Analyse Fonctionnelle",
Laboratoire de Mathématiques de Besançon, France (June 2017)
Lipschitz-free spaces and Schur properties
"Journées de l'école doctorale Carnot-Pasteur",
Université de Bourgogne Franche-Comté, Besançon (May 2017)
Lipschitz-free spaces and Schur properties
"45th Winter School in Abstract Analysis",
Svratka, Czech Republic (January 2017)
l1-like properties over some Lipschitz free-spaces