Assistant Professor. Departamento de Matematicas.
Universidad Andres Bello
email: jose.aliste at unab.cl
I am an assistant professor at the Departamento de Matemáticas at Universidad Andrés Bello (UNAB) in Santiago, Chile. Between 2016 and 2020, I hold 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 contribute to the GNOME Project. I code mostly for Evince and Gedit. In particular, I am the maintainer of the LaTeX and SyncTeX plugins for Gedit, which allow LaTeX and SyncTeX integration between Gedit and Evince.
More recently I have been interested in algebraic combinatorics. I am studying 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.
Before being interested in combinatorics, I worked on topological dynamics and ergodic theory. In particular, 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.
- Rotation numbers and rotation classes on one-dimensional tiling spaces (with B. Rand and L. Sadun). Accepted for publication in Annales Henri Poincaré
- 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
- On trees with the same restricted U-polynomial and the Prouhet- Tarry-Escott problem (with A. de Mier and J. Zamora). Accepted for publication in Discrete Mathematics. preprint
- On the simplicity of homeomorphism groups of a tilable lamination (with S. Petite). Monatshefte für Mathematik (2016) doi:10.1007/s00605-016-0921-1.
- 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
- 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.
- Almost periodic structures and the semiconjugacy problem. (with T. Jäger). Journal of Differential Equations. (2012) 252 Issue 9 pp. 4988–5001.
- 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
- Tower systems for linearly repetitive Delone sets (with D. Coronel). Erg. Theo. Dyn. Sys. (2011) 31 Issue 6 pp.1595—1618 FirstView preprint
- 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
- (March 2011) Tower systems for Linearly Repetitive Delone systems. pdf
Workshop on Aperiodic order and Dynamical systems, Bielefeld, Germany.
- (December 2009) Uniform ergodic theorems for linearly repetitive actions. pdf
Dynamical systems seminar, Erwin Schrodinger Institute, Vienna.
- Ph.D. in Mathematical Modelling from University of Chile and Ph.D. in Mathematics from University of Nice-Sophia Antipolis. Dissertation: Contribution to the study of aperiodic tilings: translation theory and statistical properties.
Advisors: Alejandro Maass and Jean-Marc Gambaudo.
- Mathematical Engineering title from University of Chile. Memoire: Implementation of numerical schemes for the Hamilton-Jacobi-Bellman Equation,
University of Chile.
Advisor: Felipe Alvarez
- (Sep.-Dec. 2009) Junior Research Fellow, Erwin Schrödinger Institute for Mathematical Physics, Vienna, Austria.
A complete curriculum (in pdf) can be downloaded from here.