Julian Wykowski
Julian Wykowski
I am a third-year Mathematics PhD Candidate 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) as well as commutative and homological algebra.
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.
Publications and Preprints
Research Articles in Group Theory:
8. Countable Profinite Rigidity. Joint with Henrique Souza. In preparation.
7. The Profinite Rigidity of Free Metabelian Groups. Submitted, 2025. ArXiv.
6. Profinite Rigidity over Noetherian Domains. Submitted, 2025. ArXiv.
5. Cohomological Separability of Baumslag--Solitar groups and Their Generalisations. Joint with William Cohen. Submitted, 2024. ArXiv.
4. Profinite Subgroup Accessibility and Recognition of Amalgamated Factors. Groups, Geometry, and Dynamics (2025). Journal. ArXiv.
Miscallaneous:
3. Humanity's Last Exam. Joint with Long Phan et al. Preprint, 2025. ArXiv. NY Times Article.
2. An investigation into Lie algebra representations obtained from regular holonomic D-modules. Joint with Travis Schedler. Expository Article, November 2021. ArXiv.
1. Galois Correspondence in Model Theory. MSci Thesis, June 2021. pdf.
Seminars
I co-organise the Junior Geometry Seminar in Cambridge. Please get in touch if you have any suggestions for speakers or would like to be added to the mailing list.
I also co-organise the GGT journal club in Lent 2025. Please get in touch if you'd like to be added to the mailing list.
Teaching
I am supervising for the Part II Algebraic Topology course this Michealmas. The example sheets will be released here.