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Jordan-Holder theorem for profinite groups and applications
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The 53rd card.

Non-vanishing unitary cohomology of low-rank integral special linear groups
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Entropy-based models to randomise real-world hypergraphs
Saracco, F Petri, G Lambiotte, R Squartini, T Communications Physics volume 8 issue 1 (08 Jul 2025)

James has won a MPLS Divisional teaching award for his "dedication to teaching within your department in general...and impressive outreach activities for the Mathematical Institute, specifically your work on both the MAT livestream and the Oxford Online Maths Club".

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On two‐generator subgroups of mapping torus groups
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Tue, 25 Nov 2025
13:00
L2

Symmetry-enforced Fermi surfaces

Salvatore Pace
(MIT )
Abstract

One of the great powers of global symmetry is its ability to constrain the possible phases of many-body quantum systems. In this talk, we will present a symmetry that enforces every symmetric model to be in a phase with a Fermi surface. This constraint is entirely non-perturbative and a strong form of symmetry-enforced gaplessness. We construct this symmetry in fermionic quantum lattice models on a $d$-dimensional Bravais lattice, and it is generated by a U(1) fermion-number symmetry and Majorana translation symmetry. The resulting symmetry group is an infinite-dimensional non-abelian Lie group closely related to the Onsager algebra. We will comment on the topology of these symmetry-enforced Fermi surfaces and the UV symmetry's relation to the IR LU(1) symmetry of ersatz Fermi liquids. (This talk is based on ongoing work with Shu-Heng Shao and Luke Kim.)

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