# José Aliste-Prieto

## Assistant Professor. Departamento de Matematicas.

## Universidad Andres Bello

Santiago, CHILE

*email: jose.aliste at unab.cl*

### About me

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.

### Research Interests

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.

### Publications

- 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

### Talks

- (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.

### Education

- 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

### Fellowships

- (Sep.-Dec. 2009) Junior Research Fellow,
*Erwin Schrödinger Institute for Mathematical Physics*, Vienna, Austria.

### Curriculum

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