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Image of Ismael Morales

Ismael Morales

Status
Postgraduate Student
+44 1865 273511
Contact form
Research groups
  • Algebra
  • Topology
Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Major / recent publications

"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

 

 

Research interests

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. 

Prizes, awards, and scholarships

Oxford-Cocker Graduate Scholarship (since October 2021).

Teaching

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.

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Stonewall Silver Employer 2022 Athena SWAN Silver Award (ECU Gender Charter) London Mathematical Society Good Practice Scheme
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