Curriculum Vitae

Education

  • Postdoctoral researcher. Jagiellonian University, Poland. 2024 - 2026. With Adam Kanigowski.
  • PhD in Mathematics. Pontifical Catholic University of Chile, Chile. 2020 - 2024. With Cristóbal Rojas and Sebastián Barbieri.
  • Bachelor in mathematics. University of Concepción, Chile. 2014 - 2018.

Research

Submitted

  1. The strong topological Rokhlin property and Medvedev degrees of SFTs. 2026.
  2. Parametrized complexity of relations between multidimensional subshifts. With Benjamin Hellouin Menibus, and Rémi Pallen. 2025.
  3. Topological slow entropy, sequence entropy, and generalized $[T,T^{-1}]$ systems. 2025.
  4. The automorphism group of a strongly irreducible subshift on a group. With Sebastián Barbieri, and Paola Rivera-Burgos. 2025.
  5. Medvedev degrees of subshifts on groups. With Sebastián Barbieri. 2024.

Accepted

  1. Translation-like actions by $\mathbb{Z}$, the subgroup membership problem, and Medvedev degrees of effective subshifts. Groups, Geometry, and Dynamics, 2024.
  2. Effective dynamical systems beyond dimension zero and factors of SFTs. With Sebastián Barbieri, and Cristóbal Rojas. Ergodic Theory and Dynamical Systems, 2025.
  3. On a Rice theorem for dynamical properties of SFTs on groups. Archiv der Mathematik, 2025.
  4. On the complexity of the Eulerian path problem for infinite graphs. With Valentino Delle Rose, and Cristóbal Rojas. Discrete Applied Mathematics (to appear), 2025.
  5. Infinite Eulerian paths are computable on graphs with vertices of infinite degree. Computability, 2025.

Talks and posters

  1. Slow entropy of some skew products. Oct 2025.
  2. Questions about ranges of RW. Sep 2025.
  3. Topological slow entropy of some skew products. Aug 2025.
  4. Automorphism groups of subshifts. Apr 2025.
  5. Medvedev degrees of subshifts. Dec 2024.
  6. Tilings of the plane: aperiodicity, undecidability, and a Rice theorem. May 2024.
  7. Tilings of the plane: aperiodicity, undecidability, and a Rice theorem. May 2024.
  8. A recursion-theoretic invariant for subshifts. Feb 2024.
  9. Are all dynamical properties of $\mathbb{Z}^2$-SFTs undecidable?. Feb 2024.
  10. Un invariante para subshifts de naturaleza recursiva. Dec 2023.
  11. Un invariante para subshifts de naturaleza recursiva. Sep 2023.
  12. Medvedev degrees and subshifts. Jul 2023.
  13. Medvedev degrees of effective subshifts on groups. Mar 2023.