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), accepted in Mathematical Proceedings of the Cambridge Philosophical Society.
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).
Finitely presented subgroups of direct products of graphs of groups with free abelian vertex groups (joint with Montserrat Casals-Ruiz).
Recent talks
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.
World of Geometric Group Theory II, online, August 2022. Subgroups of right-angled Artin groups. You may find the talk here.
Beyond Hyperbolicity, Ohio State University, USA, online, June 2021. Subgroups of direct products of RAAGs. You may find the slides here.
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.