Jakub Tucker (Maths) |
Publications Talks Teaching |
About MeI am a second-year PhD student of Mathematics at the Department of Pure Mathematics and Mathematical Statistics at the University of Cambridge, supervised by Henry Bradford. I am a member of Queens' College. My primary mathematical interest is geometric group theory. Specifically, I am interested in the finiteness properties of (permutational) symmetric enrichments of groups (sometimes known as lampshufflers), and certain similar wreath-like constructions called 'halos of groups', as well as Dehn functions and their generalisations. Before coming to Cambridge, I completed my MMath at Warwick in 2025. My thesis was "Homological Dehn Functions", supervised by Robert Kropholler. I am one of the organisers of the Junior Geometry Seminar in Cambridge. It takes place every Friday at 4 in MR13. You can email me for anything regarding this. Email: jt972 at cam dot ac dot uk Office: C0.12 |
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Publications/Preprints2026Homological Isoperimetric Inequalities for Kernels of Free Extensions of Type \(FP_2\), arXiv preprint. 2025You can read my Master's thesis "Homological Dehn Functions". 2024In the summer of 2024, I completed a short research project for Warwick's undergraduate research support scheme. The output can be seen here. The scheme also consisted of a public engagement aspect for which I wrote a short-lived blog. Here you can read an updated copy with nicer diagrams "An Upper Bound on the Dehn Function of \(Out(RAAGs)\)". I gave a talk about this work to undergraduate students at the WIMP (Warwick-Imperial) undergraduate maths conference in Autumn 2024. |
Talks202630 Jun, Lightning Talk 'Homological Dehn Functions for Subgroups of Hyperbolic Groups', XXV School of Mathematics "Lluis Santaló": Geometric Group Theory, Universidad Internacional Menéndez Pelayo. 202511 Dec, 'Halos of Groups' DAGGER Seminar, University of Warwick. 2024Nov, WIMP Undegraduate Conference, University of Warwick. |
Teaching2026Michaelmas 2026, I'll again be supervising II Algebraic Topology. Lent 2026, I supervised for IB Complex Analysis, IB Groups, Rings and Modules. 2025Michaelmas 2025, I supervised for II Algebraic Topology. 2024At Warwick, I supervised several first-year students in their core modules. |