Jordan-Holder theorem for profinite groups and applications
Bar-On, T Nikolov, N Communications in Algebra (25 Jun 2025)

The 53rd card.

Non-vanishing unitary cohomology of low-rank integral special linear groups
Brueck, B Hughes, S Kielak, D Mizerka, P International Mathematics Research Notices volume 2025 issue 15 rnaf230 (06 Aug 2025)
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".

Pattern localisation in the Swift-Hohenberg equation via slowly varying spatial heterogeneity
Gaffney, E SIAM Journal on Applied Dynamical Systems volume 24 issue 4 2804-2847 (16 Oct 2025)
On two‐generator subgroups of mapping torus groups
Andrew, N Iv, E Kapovich, I Vidussi, S Shalen, P Journal of the London Mathematical Society volume 112 issue 1 (08 Jul 2025)
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.)

A two-scale blockage correction for an array of tidal turbines
Dehtyriov, D Vogel, C Willden, R International Marine Energy Journal volume 8 issue 1 101-108 (01 Jun 2025)
The Inheritance of Local Bifurcations in Mass Action Networks
Banaji, M Boros, B Hofbauer, J Journal of Nonlinear Science volume 35 issue 4 (17 May 2025)
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