Harris Hill have several Maths teaching positions with leading independent schools in London and the South East of England from September 2025. These are permanent positions which would entail teaching Maths to A level. 

Essential: An excellent academic background including an undergraduate degree in Maths or related discipline.

A dedicated quiet room is available in the Andrew Wiles Building for staff, students, visitors and guests who need space for reflection or prayer. Room S0.30, at ground level on the south of the building can be accessed during building hours via Reception, or by using your keycard. There is step-free access available for this facility. Please do let your guests and visitors know.

Low-rank approximation of parameter-dependent matrices via CUR decomposition
Park, T Nakatsukasa, Y SIAM Journal on Scientific Computing

You may have seen our latest exhibition downstairs in the Mezzanine - colourful, mathematically inspired and, we hope, inspiring in turn to you all. Go down and have a long look.

Fri, 28 Feb 2025 09:00 -
Wed, 31 Dec 2025 00:00
Mezzanine

Kathleen Hyndman - Nature+Maths=Art

Further Information

The Mathematical Institute is delighted to be hosting a major exhibition of artist Kathleen Hyndman's mathematically inspired work.

The exhibition of drawings and paintings illustrate Hyndman’s desire to see nature and the world around her in mathematical sequences and geometrical patterns. Golden Section proportions and angles, prime numbers as well as Fibonacci numbers and eccentric constructions are all used to create works achieving a calm and balanced unity.

Born in Essex, Hyndman trained at Kingston-upon-Thames School of Art and exhibited widely in the UK and abroad, including MOMA Oxford and the Hayward Annual in London. As well as a full time artist, she was also a teacher and mother of two. She lived and had her studio in Kingston Bagpuize in Oxfordshire and had exhibitions at Zuleika Gallery in Woodstock until her death in 2022.

The exhibition is curated by Zuleika Gallery and Professor Martin Kemp FBA, and will run until the end of the year.

Exhibition brochure

Bottom from left:  Hot Breeze, 1994; Heat, 1976; Exit (a seventeen sided work), 1993; Straight Line Rotation, White on Black. Forest, 1986

Below: film of the exhibition by Evan Nedyalkov

Tue, 11 Mar 2025
13:00
L5

Topological Quantum Dark Matter via Standard Model's Global Gravitational Anomaly Cancellation

Juven Wang
(LIMS)
Abstract
In this talk, we propose that topological order can replace sterile neutrinos as dark matter candidates 
to cancel the Standard Model’s global gravitational anomalies. Standard Model (SM) with 15 Weyl fermions per family 
(lacking the 16th, the sterile right-handed neutrino νR) suffers from mixed gauge-gravitational anomalies tied to baryon number plus or minus
lepton number B±L symmetry. Including νR per family can cancel these anomalies, but when B±L
symmetry is preserved as discrete finite subgroups rather than a continuous U(1), the perturbative
local anomalies become nonperturbative global anomalies. We systematically enumerate
these gauge-gravitational global anomalies involving discrete B ± L that are enhanced from the
fermion parity ZF2 to ZF2N , with N = 2, 3, 4, 6, 9, etc. The discreteness of B ± L is constrained by
multi-fermion deformations beyond-the-SM and the family number Nf . Unlike the free quadratic
νR Majorana mass gap preserving the minimal ZF2 , we explore novel scenarios canceling (B ± L)-gravitational anomalies 
while preserving the ZF2N discrete symmetries, featuring 4-dimensional interacting gapped topological orders 
or gapless sectors (e.g., conformal field theories). We propose symmetric anomalous sectors as 
quantum dark matter to cancel SM’s global anomalies. We find the uniqueness
of the family number at Nf = 3, such that when the representation of ZF2N from the faithful B + L
for baryons at N = Nf = 3 is extended to the faithful Q + NcL for quarks at N = NcNf = 9, this
symmetry extension ZNc=3 → ZNcNf =9 → ZNf =3 matches with the topological order dark matter
construction. Key implications include: (1) a 5th force mediating between SM and dark matter via
discrete B±L gauge fields, (2) dark matter as topological order quantum matter with gapped anyon
excitations at ends of extended defects, and (3) Ultra Unification and topological leptogenesis.

The community mile is a mass event, open to all abilities and ages from six and above. The course (1 mile long) will start on St Aldate’s and proceed down the High Street, crossing Magdalen Bridge before finishing on Iffley Road, where bespoke finisher medals will be presented. 

From 9 am on Monday 5th May.

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