Jakub Tucker Maths

About Me

I am a first-year PhD student of Mathematics at Queens' College, Cambridge, under the supervision of Dr Henry Bradford.

My research is in geometric group theory. I am interested in Dehn functions and their generalisations to non-finitely presented groups, the Boone-Higman conjecture, and wreath and halo products of groups.

I completed my MMath at Warwick in 2025, my thesis was "Homological Dehn Functions".

Me Me Again

Works/Preprints

2026

Homological Isoperimetric Inequalities for Kernels of Free Extensions of Type \(FP_2\), arXiv preprint

2025

You can read my Master's thesis "Homological Dehn Functions".

2024

In 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.


Talks

2026

30 Jun, Lightning Talk 'Homological Dehn Functions for Subgroups of Hyperbolic Groups', XXV School of Mathematics "Lluis Santaló": Geometric Group Theory, Universidad Internacional Menéndez Pelayo

2025

11 Dec, 'Halos of Groups' DAGGER Seminar, University of Warwick

2024

Nov, WIMP Undegraduate Conference, University of Warwick


Teaching

2026

Lent 2026, I supervised for IB Complex Analysis, IB Groups, Rings and Modules.

2025

Michaelmas 2025, I supervised for II Algebraic Topology.

2024

In my final year at Warwick, I supervised several first-year students in their core modules for the academic year 2024/25.