Carlos Martinez Ranero, Universidad de Concepción

Carlos Martínez Ranero, Universidad de Concepción

CMR E-mail:
cmartinezr (at) udec (dot) cl

I am an associate professor at the Department of Mathematics, University of Concepción, Chile.
I am currently the Director of our Master's Program in Mathematics.

Research: I'm interested in mathematical logic, broadly speaking, particularly set theory. I currently work with cardinal characteristics of the continuum, Aronszajn trees, and I have also explored connections with number theory through Hilbert's Tenth Problem.

I completed my PhD at University of Toronto in 2010 under Stevo Todorcevic. From 2011-2013 I was a postdoctoral fellow at UNAM, campus Morelia. From 2013-2017 I was an assistant professor at University of Concepcion.

Publications and preprints

  1. Autohomeomorphisms of the finite powers of the double arrow, (with Sebastián Barría)
  2. Existential decidability for addition and divisibility in holomorphy subrings of global fields, (with Javier Utreras, Xavier Vidaux)
    Journal of Number Theory 241 (2022), 504-530.
  3. Hereditary Intervals Algebras and Cardinal Characteristics of the Continuum, (with M. Hrušák, A. Ramos-García)
    Israel J. Math. 242 (2) 2021, no. 2, 769-795.
  4. The diophantine problem for addition and divisibility for subrings of rational functions over finite fields. (with L. Cerda-Romero)
    Proyecciones, vol 39, no. 3 (2020), 721--735. Link to paper
  5. Undecidability of \(\mathbb Q^{(2)}\), (with J. Utreras, C. Videla)
    Proc. Amer. Math. Soc. 148 (2020), 961-964
  6. On a construction of Malykhin. (with A. Ramos-García)
    Topology Proceedings 53 (2019), 209--218. Link to paper
  7. The Diophantine problem for addition and divisibility over subrings of the rationals. (with L. Cerda-Romero)
    J. of Symb. Logic 82 (2017), no. 3, 1140--1149. Link to paper
  8. Generic existence of MAD families. (with O. Guzmán-González, M. Hrušák, A. Ramos-García)
    J. of Symb. Logic 82 (2017), no. 1, 303--316. Link to paper

Teaching (in spanish)

    Cálculo 3 (521227-4)

    Análisis Funcional (527310-1)


    XVIII Simposio Latino Americano de Lógica Matemática

    Last modified : August 1st, 2022