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Department of Pure Mathematics and Mathematical Statistics

Liam Hanany

I am currently a first year PhD student in Mathematics at the University of Cambridge. My academic supervisor is Henry Wilton.

I am mainly interested in the interplay between finite and infinite groups, and especially in finite separation properties of groups arising in low-dimensional topology.

I am also sometimes interested in lattices in Lie groups.

Preprints

The Yang-Baxter equation and characteristic finite simple quotients of the free group of rank 2

L Hanany (2025)

arxiv: https://arxiv.org/abs/2510.03210

Non-uniform higher-rank lattices are character rigid

A Dogon, M Glasner, Y Gorfine, L Hanany, A Levit (2025)

arxiv: https://arxiv.org/abs/2507.21862

Publications

Characteristic subgroup growth

L Hanany, A Lubotzky - to appear in Archiv der Mathematik (2026)

arxiv: https://arxiv.org/abs/2510.04150

Word measures on symmetric groups

L Hanany, D Puder - Int. Math. Res. Not. (2023)

doi: https://doi.org/10.1093/imrn/rnac084

Some orbits of free words that are determined by measures on finite groups

L Hanany, C Meiri, D Puder - Journal of Algebra (2020)

doi: https://doi.org/10.1016/j.jalgebra.2020.03.013

 

Research Group

Differential Geometry & Topology

Room

E0.14

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