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Dr. Gareth Wilkes is an Assistant Professor at the University of Cambridge, affiliated with Jesus College and Selwyn College. He holds positions as a Fellow at Jesus College and a Bye-Fellow at Selwyn College. His research focuses on the intersection of geometric group theory, geometric topology, and profinite groups, particularly exploring residual properties, profinite completions, and cohomological methods in these structures.
Wilkes completed his doctoral studies at the University of Oxford in 2018 with a thesis titled Profinite Properties of 3-Manifold Groups. He is preparing a textbook Profinite Groups and Residual Finiteness (EMS, 2024), which provides a foundational treatment of profinite groups and their applications in residual finiteness studies. His work bridges algebraic and geometric perspectives, emphasizing group cohomology and profinite rigidity.
His publications span topics such as profinite rigidity of 3-manifolds, cohomology theories for profinite groups, and the interplay between random groups and topological invariants like ℓ²-Betti numbers. Teaching materials, including lecture notes and exercises on profinite groups, are available for academic reference.
Wilkes’ research also addresses accessibility of pro-p groups, profinite completions of geometric structures, and applications of finite quotients in distinguishing crystallographic groups.
