Julian Wykowski
Julian Wykowski
I am a final-year PhD candidate in Mathematics 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 the profinite rigidity and residual properties of discrete groups. I aim to connect the discrete and profinite worlds of group theory using tools from geometry, commutative and homological algebra, and representation theory. I presented my most recent research in a talk at the Isaac Newton Institute, entitled Profinite Rigidity, Noetherian Domains, and Solvable Groups.
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
Group Theory:
[9] Countable Profinite Rigidity. Joint with Henrique Souza. In preparation.
[8] The Profinite Rigidity of Torsion-Free Lamplighter Groups. Joint with Nikolay Nikolov. Preprint at ArXiv (2025).
[7] The Profinite Rigidity of Free Metabelian Groups. Preprint at ArXiv (2025).
[6] Profinite Rigidity over Noetherian Domains. Preprint at ArXiv (2025).
[5] Cohomological Separability of Baumslag--Solitar Groups and Their Generalisations. Joint with William Cohen. Journal of Algebra (2026). Journal. 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.