Ismael Morales
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
"Profinite properties of residually free groups". Preprint.
https://arxiv.org/abs/2306.13082
"Virtual homology of residually free groups and profinite rigidity of direct products" (with Jonathan Fruchter). Preprint.
https://arxiv.org/abs/2209.14925
"On the profinite rigidity of free and surface groups". Preprint.
https://arxiv.org/abs/2211.12390
"Parafree fundamental groups of graphs of groups with cyclic edge subgroups" (with Andrei Jaikin-Zapirain). Preprint.
https://arxiv.org/abs/2110.11655
I study questions relating L^2 Betti numbers, residual properties of groups and profinite invariants. I am working under the supervision of Dawid Kielak and Richard Wade.
Oxford-Cocker Graduate Scholarship (since October 2021).
M21 - Teaching assistant for B1.1 Logic.
H22 - TA for B1.2 Set Theory.
M22 - TA for two sets of C1.1 Model Theory.
H23 - Tutor for B1.1 Logic.
H23 - Tutor for C8.4 Probabilistic Combinatorics.
H23 - Tutor of the Williams College Oxford Programme for Non-commutative Algebra.