José Aliste-Prieto

Assistant Professor. Departamento de Matematicas.

Universidad Andres Bello

Sazie 2127, Sexto Piso
Santiago, CHILE
email: jose.aliste at unab.cl

I am a professor at the Departamento de Matemáticas at Universidad Andrés Bello (UNAB) in Santiago, Chile. I work on algebraic combinatorics and I used to work on topological dynamics.

Brief bio

Between 2016 and 2020, I had a Fondecyt Regular Grant together with José Zamora. Before coming to UNAB, I was a postdoctoral fellow (funded by Fondecyt Project 3100097) at the Centro de Modelamiento Matemático, University of Chile. Between September and December 2009, I was a Junior Research Fellow at the Erwin Schrödinger Institute for Mathematical Physics in Vienna, Austria.

I obtained my Ph.D. from University of Chile and University of Nice-Sophia Antipolis (joint program). My advisors were: Alejandro Maass from U. Chile and Jean-Marc Gambaudo (U. Nice). I also hold an engineer title from University of Chile. My engineering’s memoire was supervised by Felipe Alvarez.

I used to contribute to the GNOME Project. I coded mostly for Evince and Gedit. In particular, I was the maintainer of the LaTeX and SyncTeX plugins for Gedit, which allow LaTeX and SyncTeX integration between Gedit and Evince.

Research

Algebraic combinatorics

My work focuses on two graph invariants: The chromatic symmetric function and the weighted graph polynomials. I want to understand what can be said about the underlying graph by using only the information encoded by these invariants.

Dynamical systems

I studied the dynamics of systems arising from non-periodic tilings and Delone sets. There I studied extensions of the classical theory of circle homeomorphisms to the non-periodic settings, obtaining several generalizations of the celebrated Poincaré theorem.

Preprints and Publications

You can also look for my profile in Google scholar here.

Algebraic Combinatorics

  1. Chromatic symmetric functions and polynomial invariants of tree (with J.L. Martin, J.D. Wagner and J. Zamora) arXiv preprint arXiv:2402.10333Accepted for publication in Bulletin of London Mathematical Society
  2. Marked graphs and the chromatic symmetric function (with A. De Mier, R. Orellana and J. Zamora) SIAM Journal on Discrete Mathematics 37 (3), pages 1881-1919, 2023
  3. On the smallest trees with the same restricted U-polynomial and the rooted U-polynomial (with A. de Mier and J. Zamora) Discrete Mathematics 344 (3)2021
  4. A Vertex-Weighted Tutte Symmetric Function, and Constructing Graphs with Equal Chromatic Symmetric Function (with L. Crew, S. Spirkl and J. Zamora) Electronic Journal of Combinatorics, Volume 28, Issue 2, P2.1, 2021 pdf
  5. On trees with the same restricted U-polynomial and the Prouhet- Tarry-Escott problem (with A. de Mier and J. Zamora). Discrete Mathematics 340 (6) pp. 1435-1441, 2017 preprint
  6. Proper caterpillars are distinguished by their chromatic symmetric function (with J. Zamora).Discrete Mathematics (2014) Volumes 315–316, 6 February 2014, Pages 158–164. preprint

Dynamical Systems

  1. Rotation numbers and rotation classes on one-dimensional tiling spaces (with B. Rand and L. Sadun). Annales Henri Poincaré (2021) 22 (7), 2161-2193
  2. On the simplicity of homeomorphism groups of a tilable lamination (with S. Petite). Monatshefte für Mathematik (2016) doi:10.1007/s00605-016-0921-1.
  3. Linearly repetitive tilings are rectifiable (with D. Coronel and J.-M. Gambaudo). Annales de l’institut Henri Poincaré: Analyse non lineaire (2013) 30, pp. 275--290.
  4. Almost periodic structures and the semiconjugacy problem. (with T. Jäger). Journal of Differential Equations. (2012) 252 Issue 9 pp. 4988–5001.
  5. Rapid convergence to frequency for substitution tilings of the plane (with D. Coronel and J.-M. Gambaudo). Comm. Math. Phys. (2011) 306, Number 2, 365—380 CMP preprint
  6. Tower systems for linearly repetitive Delone sets (with D. Coronel). Erg. Theo. Dyn. Sys. (2011) 31 Issue 6 pp.1595—1618 FirstView preprint
  7. Translation numbers for a class of maps arising from one-dimensional quasicrystals. Erg. Theo. Dyn. Sys. (2010) 30 Issue 2 pp.565—594. etds preprint

Talks

Education

Fellowships

Curriculum

A complete curriculum (in pdf) can be downloaded from here.