Ismael Morales
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Prosolvable rigidity of surface groups (with Andrei Jaikin-Zapirain).
https://arxiv.org/abs/2312.12293
The Hanna Neumann Conjecture for graphs of free groups with cyclic edge groups (with Sam Fisher). To appear in Compos. Math.
https://arxiv.org/abs/2311.12910
Virtual homology of limit groups and profinite rigidity of direct products (with Jonathan Fruchter). To appear in Israel J. Math.
https://arxiv.org/abs/2209.14925
Profinite properties of residually free groups. Comm. Algebra., 2024.
On the profinite rigidity of free and surface groups. Math. Ann., 2024.
- Parafree graphs of groups with cyclic edge groups (with Andrei Jaikin-Zapirain). J. Lond. Math. Soc., 2024.
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 classes 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.
M23 - Tutor for two classes of B3.1 Galois Theory
H24 - Tutor for two classes of B3.4 Algebraic Number Theory