Cv

An updated and complete CV can be found by clicking the visually appealing "PDF" button on the right. Below is a summarized version.

General Information

Full Name Nicanor Carrasco-Vargas
Languages Spanish (Native), English (C1), French (Moderate level from 10 months in Toulouse, France)

Education

  • 2018
    Bachelor in mathematics
    Universidad de Concepción
  • 2020
    Started PhD program
    Pontificia Universidad Católica de Chile

Honors and Awards

  • 2018
    Premio universidad de Concepción

Research

  1. The geometric subgroup membership problem. Nicanor Carrasco-Vargas. 2023. Accepted in Groups, Geometry, and Dynamics.
  2. Infinite Eulerian trails are computable on graphs with vertices of infinite degree. Nicanor Carrasco-Vargas. 2023. Accepted in Computability.
  3. Effective dynamical systems beyond dimension zero and factors of SFTs. Sebastián Barbieri, Nicanor Carrasco-Vargas, and Cristóbal Rojas. 2024.
  4. Undecidability of dynamical properties of SFTs and sofic subshifts on $\mathbb{Z}^2$ and other groups. Nicanor Carrasco-Vargas. 2024.

Talks and posters

  1. Medvedev degrees of effective subshifts on groups. Nicanor Carrasco-Vargas. Mar 2023. Journées annuelles SDA2, Toulouse, France
  2. Medvedev degrees and subshifts. Nicanor Carrasco-Vargas. Jul 2023. 16th International Conference on Computability, Complexity and Randomness. Kochel, Germany
  3. Un invariante para subshifts de naturaleza recursiva. Nicanor Carrasco-Vargas. Sep 2023. Seminario de Sistemas Dinámicos de Santiago, Santiago, Chile
  4. Un invariante para subshifts de naturaleza recursiva. Nicanor Carrasco-Vargas. Dec 2023. Encuentro sociedad matemática de chile 2023, Santiago, Chile
  5. Are all dynamical properties of $\mathbb{Z}^2$-SFTs undecidable?. Nicanor Carrasco-Vargas. Feb 2024. Poster for thematic month at CIRM, France: Discrete Mathematics & Computer Science: Groups, Dynamics, Complexity, Words.
  6. A recursion-theoretic invariant for subshifts. Nicanor Carrasco-Vargas. Feb 2024. Talk for thematic month at CIRM, France: Discrete Mathematics & Computer Science: Groups, Dynamics, Complexity, Words.