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Image of Ismael Morales

Ismael Morales

Status
Postgraduate Student
Contact form
+44 1865 273511
Research groups
  • Algebra
  • Topology

Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG

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.

Research interests

I study questions relating L^2 Betti numbers, residual properties of groups and profinite invariants. 

Major / recent publications

"On the profinite rigidity of free and surface groups". Preprint

https://arxiv.org/abs/2211.12390

Appendix to "Characterising surface groups by their virtual second betti number" by Jonathan Fruchter. Preprint

https://arxiv.org/abs/2209.14925

"Parafree fundamental groups of graphs of groups with cyclic edge subgroups" (with Andrei Jaikin-Zapirain). Preprint

https://arxiv.org/abs/2110.11655

 

 

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