ALBERT GARRETA-FONTELLES

Postdoctoral fellow at the University of the Basque Country (Bilbao)

email: albert.garreta@ehu.eus, or garreta.a@gmail.com

My research interests revolve around the areas of asymptotic and combinatorial group and semigroup theory, non-commutative and commutative algebra, and both theoretic and applied computer science. I focus mostly on algorithmic problems in these areas.

Other

Here are some paintings I have made.

I have participated in some machine learning competitions.

Google scholar page.

Youtube channel containing some of my talks.

Bilbao algebra seminar.

Published or accepted articles

Submitted articles

    1. Results of the Photometric LSST Astronomical Time-series Classification Challenge (PLAsTiCC), with Renee Hlozek et al.

    2. Solving word equations with Monte Carlo Tree Search and black-box solvers, 19 pages

    3. Simple groups with infinite verbal width and the same positive theory as free groups, with Montserrat Casals-Ruiz, Ilya Kazachkov, and Javier de la Nuez, 12 pages, https://arxiv.org/abs/1911.02117v1

    4. Diophantine problems in rings and algebras: undecidability and reductions to rings of algebraic integers, with Alexei Miasnikov and Denis Ovchinnikov, submitted, 41 pages, https://arxiv.org/abs/1805.02573

Articles in preparation

    • Studying the Diophantine problem in finitely generated rings via bilinear maps, with Alexei Miasnikov and Denis Ovchinnikov.

    • On elementary equivalence of graph products of groups, with Montserrat Casals-Ruiz, Ilya Kazachkov, and Javier de la Nuez.

    • On rigidity of isomorphisms between graph products of groups, with Federico Berlai and Enric Ventura.

    • Equations in polycyclic groups, with Alexei Miasnikov and Denis Ovchinnikov.

    • Topics on branch groups, with Marialaura Noce.

    • On equations with length constraints in some hyperbolic groups, with Laura Ciobanu.

Theses

    • My PhD thesis, defended on January 2017: pdf

    • My Degree thesis, defended on July 2012: pdf