Julian Wykowski

I am a second-year Mathematics PhD student at the University of Cambridge, working on geometric group theory under the supervision of Gareth Wilkes. My email address is jw2006@cam.ac.uk.

I am interested in profinite groups, as well as profinite rigidity and residual properties of abstract groups. Specifically, I try to connect the abstract and profinite worlds of group theory using results in the theory of groups acting on trees (Bass-Serre theory) and group cohomology.

Previously, I completed an MSci in Mathematics at Imperial College London. I submitted a project on Galois correspondence in Model Theory under the supervision of Charlotte Kestner.

Research Articles

Cohomological Separability of Baumslag--Solitar groups and Their Generalisations. Joint with William Cohen. June 2024, Submitted. ArXiv.
Profinite Subgroup Accessibility and Recognition of Amalgamated Factors. August 2023, Submitted. ArXiv.

Theses & Expository Articles

Galois Correspondence in Model Theory. MSci Thesis, June 2021. pdf.
An investigation into Lie algebra representations obtained from regular holonomic D-modules. Joint with Travis Schedler. Expository Article, November 2021. ArXiv.