On going projects: 

• Metric analysis and slopes.

• Dynamics of linear operators.

Preprints:

• All convex bodies are in the subdifferential of some everywhere differentiable locally Lipschitz function (with A. Daniilidis and R. Deville). Arxiv. 

• An epsilon-Hypercyclicity criterion. 

Published papers:

1. A slope generalization of Attouch theorem (with A. Daniilidis and D. Salas).  Math. Program. (accepted) Arxiv. 

2. Recurrence and vectors escaping to infinity for Lipschitz operators. J. Math. Anal. Appl. 2024 Link.

3. Oriented calmness and sweeping process dynamics.  (with A. Daniilidis). Math. Oper. Res. 2023 Link. 

4. Cyclicity of composition operators on the Fock space of C^d. (with F. Bayart). J. Operator Theory 2023 (Accepted) Arxiv.

5. Non-linear operators and differentiabilitiy of Lipschitz functions. (with M. Bachir). Set-valued Var. Anal.  2023 Link. 

6. Regularity of AML function in two dimensional normed spaces. J. Aust. Math. Soc. 2022 Link.

7. Wild dynamics and asymptotically separated sets. Trans. Amer. Math. Soc. 2021 Link.

8.  Compact and limited operators. (with M. Bachir and G. Flores). Math. Nachr. 2020 Link. 

9. Finitely determined functions (with M. Bachir and A. Fabre). Adv. Op. 2020 Link. 

10. Extended seminorms and extended topological vector spaces. (With D. Salas). Top. App. 2016 Link.  

Thesis:

1. PhD Thesis: Contributions to linear dynamics, sweeping process and regularity of Lipschitz functions (2021). Link 

2. Master Thesis:   Selfcontracted curves and λ-curves: rectifiability and asymptotical behavior (2017, in Spanish).  Link