On going projects: 

• Metric analysis and slopes.

• Dynamics of linear operators.

• Infinite horizon optimal control.

Preprints:

• Differentiable functions with surjective Clarke Jacobians (with A. Daniilidis) Hal-Science.

• An epsilon-Hypercyclicity criterion.

Published papers:

1. On (discounted) global Eikonal equations in metric spaces (with T.M. Lê). Accepted in Ann. Sc. Norm. Super. Pisa Cl. Sci. (5)  Arxiv.

2. Determination of (unbounded) convex functions via Crandall-Pazy directions (with A. Daniilidis and D. Salas)  Accepted in Israel J. Math.   Arxiv.  

3. Horofunction extension and metric compactifications (with A. Daniilidis, M.I. Garrido and J. Jaramillo). Trans. Amer. Math. Soc. 2025. Link.

4. All convex bodies are in the subdifferential of some everywhere differentiable locally Lipschitz function (with A. Daniilidis and R. Deville). Proc. Lond. Math. Soc. (3) 2024 Link. 

5. A slope generalization of Attouch theorem (with A. Daniilidis and D. Salas).  Math. Program. 2024 Link. 

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

7. Cyclicity of composition operators on the Fock space of C^d. (with F. Bayart). J. Operator Theory 2024 Arxiv.

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

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

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

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

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

13. Finitely determined functions (with M. Bachir and A. Fabre). Adv. Oper. Theory 2020 Link. 

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

Theses:

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 

Master Students:

1. Tobias Grammel (TU Wien) (co-advisored with Aris Daniilidis). On going.

2. Max Krause (TU Wien) (co-advisored with Aris Daniilidis).
   Title: Weak KAM Theorie: Existenz und Eindeutigkeit von Viskositätslösungen der Hamilton-Jacobi Gleichung.