Research interests
Currently, I am mainly focused on understanding the subgroup structure of right-angled Artin groups to deduce their algorithmic and finiteness properties.
In general, I like using homological and algebraic methods in Geometric Group Theory, as well as Bass-Serre Theory. For a more developed explanation, you may find my research statement here.
Publications
Subgroups of direct products of limit groups over Droms RAAGs, Algebraic & Geometric Topology 22 (2022).
Subgroups of the direct product of graphs of groups with free abelian vertex groups (joint with Montserrat Casals-Ruiz).
On subdirect products of type FP_n of limit groups over Droms RAAGs (joint with Dessislava H. Kochloukova), Mathematical Proceedings of the Cambridge Philosophical Society 176 (2024).
On the Bieri-Neumann-Strebel-Renz invariants and limit groups over Droms RAAGs (joint with Dessislava H. Kochloukova), Journal of Algebra 606 (2022).
On finitely generated normal subgroups of right-angled Artin groups and graph products of groups (joint with Montserrat Casals-Ruiz), accepted in Proceedings of the American Mathematical Society.
Separability properties of higher-rank GBS groups (joint with Sam Shepherd), Bulletin of the London Mathematical Society 57 (2025).
Finitely presented subgroups of direct products of graphs of groups with free abelian vertex groups (joint with Montserrat Casals-Ruiz), accepted in Geometriae Dedicata.
Around subgroups of Artin groups: derived subgroups and acylindrical hyperbolicity in the even FC-case (joint with Conchita Martínez Pérez), accepted in Algebraic & Geometric Topology.
Pullbacks and intersections in categories of graphs of groups (joint with Jordi Delgado, Marco Linton, Mallika Roy and Pascal Weil).
Recent talks
VII Congreso de Jóvenes Investigadores de la RSME, Bilbao, Spain, January 2024. Around subgroups of Artin groups.
Cube Complexes and Combinatorial Geometry, Montreal, Canada, June 2023. Finitely generated normal subgroups of RAAGs. You may find the talk here.
Spring Topology and Dynamical Systems Conference, Rhodes College, USA, online, March 2023. Residual properties of rank n GBS groups.
Theses
PhD thesis
Subgroups of direct products of limit groups over coherent right-angled Artin groups. Available here.
Supervisors: Dr. Montserrat Casals-Ruiz and Prof. Karen Vogtmann FRS.
Master thesis
Hyperbolic groups. Available here.
Supervisor: Dr. Henry Wilton.
Bachelor thesis
Finite graphs, free groups and Stallings' foldings. Available here.
Supervisor: Dr. Montserrat Casals-Ruiz.