Postdoctoral fellow at the University of the Basque Country (Bilbao)
email: email@example.com, or firstname.lastname@example.org
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.
Published or accepted articles
Metabelian groups: full-rank presentations, randomness and Diophantine problems, with Leire Legarreta, Alexei Miasnikov, and Denis Ovchinnikov, Journal of Group Theory, published online ahead of print, doi: https://doi.org/10.1515/jgth-2020-0091, 14 pages
On the positive theory of groups acting on trees, with Montserrat Casals-Ruiz, and Javier de la Nuez, International Mathematics Research Notices (IMRN), Volume 2021, Issue 3, February 2021, Pages 1837–1918, doi: https://doi.org/10.1093/imrn/rnaa164
Diophantine problems in solvable groups, with Alexei Miasnikov and Denis Ovchinnikov, Bulletin of Mathematical Sciences, online ready, 21 pages
Engel elements in some fractal groups, with Gustavo Fernández-Alcober and Marialaura Noce, Monatshefte für Mathematik, v. 189 (4) (2018), pp. 651-660
Random nilpotent groups, polycyclic presentations, and Diophantine problems, with Alexei Miasnikov and Denis Ovchinnikov, Groups Complexity Cryptology, v. 9 (2) (2017), pp. 99-115
Results of the Photometric LSST Astronomical Time-series Classification Challenge (PLAsTiCC), with Renee Hlozek et al.
Solving word equations with Monte Carlo Tree Search and black-box solvers, 19 pages
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.
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.