Please note that the list below only shows forthcoming events, which may not include regular events that have not yet been entered for the forthcoming term. Please see the past events page for a list of all seminar series that the department has on offer.

 

Wed, 28 Sep 2022 09:00 -
Tue, 30 Jun 2026 17:00
Mathematical Institute

Cascading Principles - a major mathematically inspired art exhibition by Conrad Shawcross - extended until June 2026

Further Information

Oxford Mathematics is delighted to be hosting one of the largest exhibitions by the artist Conrad Shawcross in the UK. The exhibition, Cascading Principles: Expansions within Geometry, Philosophy, and Interference, brings together over 40 of Conrad's mathematically inspired works from the past seventeen years. Rather than in a gallery, they are placed in the working environment of the practitioners of the subject that inspired them, namely mathematics.

Conrad Shawcross models scientific thought and reasoning within his practice. Drawn to mathematics, physics, and philosophy from the early stages of his artistic career, Shawcross combines these disciplines in his work. He places a strong emphasis on the nature of matter, and on the relativity of gravity, entropy, and the nature of time itself. Like a scientist working in a laboratory, he conceives each work as an experiment. Modularity is key to his process and many works are built from a single essential unit or building block. If an atom or electron is a basic unit for physicists, his unit is the tetrahedron.

Unlike other shapes, a tetrahedron cannot tessellate with itself. It cannot cover or form a surface through its repetition - one tetrahedron is unable to fit together with others of its kind. Whilst other shapes can sit alongside one another without creating gaps or overlapping, tetrahedrons cannot resolve in this way. Shawcross’ Schisms are a perfect demonstration of this failure to tessellate. They bring twenty tetrahedrons together to form a sphere, which results in a deep crack and ruptures that permeate its surface. This failure of its geometry means that it cannot succeed as a scientific model, but it is this very failure that allows it to succeed as an art work, the cracks full of broad and potent implications.

The show includes all Conrad's manifold geometric and philosophical investigations into this curious, four-surfaced, triangular prism to date. These include the Paradigms, the Lattice Cubes, the Fractures, the Schisms, and The Dappled Light of the Sun. The latter was first shown in the courtyard of the Royal Academy and subsequently travelled all across the world, from east to west, China to America.

The show also contains the four Beacons. Activated like a stained-glass window by the light of the sun, they are composed of two coloured, perforated disks moving in counter rotation to one another, patterning the light through the non-repeating pattern of holes, and conveying a message using semaphoric language. These works are studies for the Ramsgate Beacons commission in Kent, as part of Pioneering Places East Kent.

The exhibition Cascading Principles: Expansions within Geometry, Philosophy, and Interference is curated by Fatoş Üstek, and is organised in collaboration with Oxford Mathematics. 

The exhibition is open 9am-5pm, Monday to Friday. Some of the works are in the private part of the building and we shall be arranging regular tours of that area. If you wish to join a tour please email @email.

The exhibition runs until 30 June 2026. You can see and find out more here.

Watch the four public talks centred around the exhibition (featuring Conrad himself).

The exhibition is generously supported by our longstanding partner XTX Markets.

Images clockwise from top left of Schism, Fracture, Paradigm and Axiom

Schism Fracture

Axiom Paradigm

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.

Open Monday to Friday 9am to 5pm.

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

Wed, 16 Jul 2025
11:30
L5

Chiral fields for massive higher spins

Dr Alex Ochirov
(Shanghai Tech)
Abstract

I will review some recent developments in effective field theory of  composite higher-spin particles, namely, Zinoviev's massive gauge symmetry and 
the new chiral-field approach. The latter approach was inspired by a simple spinor-helicity structure first singled out by Arkani-Hamed, Huang and Huang, which encodes the higher-spin information of two massive particles. It turned out to be persistent in tree-level amplitudes with any number of additional identical-helicity gluons or gravitons, leading to the discovery of the chiral-field approach. I will mention the applications of massive higher-spin scattering amplitudes to classical gravitational dynamics of rotating black  holes. 
 

Wed, 16 Jul 2025
14:00
L5

Twistor-space gauge-theory amplitudes from off-shell functionals

Hiren Kakkad
(Shanghai Tech)
Abstract

I will present a pair of off-shell functionals in position space, localized on the self-dual and the anti-self-dual planes which naturally give the Parke-Taylor denominator. These can therefore be used: 
i) to compute scattering amplitudes of particles with different spins and helicities; and 
ii) develop a Lagrangian description. 
Using Witten's half-Fourier transform, I will express these functionals in twistor space and present the kernels in a closed compact form. For even multiplicities, I will show how to obtain this form geometrically which than then be “folded” to get the one-less odd-multiplicity result. 
 

Wed, 06 Aug 2025
17:00
Lecture Theatre 1

From Theorems to Serums, From Cryptography to Cosmology … and The Simpsons - Simon Singh

Further Information

Join science writer Simon Singh on a whistle-stop tour through two decades of his bestselling books. 'Fermat’s Last Theorem' looks at one of the biggest mathematical puzzles of the millennium; 'The Code Book' shares the secrets of cryptology; 'Big Bang' explores the history of cosmology; 'Trick or Treatment' asks some hard questions about alternative medicine; and 'The Simpsons and Their Mathematical Secrets' explains how TV writers, throughout the show’s 35-year history, have smuggled in mathematical jokes.

Please email @email to register to attend in person.

The lecture will be broadcast on the Oxford Mathematics YouTube Channel on Wednesday 27 August at 5-6pm and any time after (no need to register for the online version).

The Vicky Neale Public Lectures are a partnership between the Clay Mathematics Institute, PROMYS and Oxford Mathematics. The Oxford Mathematics Public Lectures are generously supported by XTX Markets.

Tue, 02 Sep 2025
14:00
L4

Uniqueness of critical points of the second Neumann eigenfunctions on triangles

Ruofei Yao
(South China University of Technology)
Abstract

The hot spots conjecture, proposed by Rauch in 1974, asserts that the second Neumann eigenfunction of the Laplacian achieves its global maximum (the hottest point) exclusively on the boundary of the domain. Notably, for triangular domains, the absence of interior critical points was recently established by Judge and Mondal in [Ann. Math., 2022]. Nevertheless, several important questions about the second Neumann eigenfunction in triangles remain open. In this talk, we address issues such as: (1) the uniqueness of non-vertex critical points; (2) the necessary and sufficient conditions for the existence of non-vertex critical points; (3) the precise location of the global extrema; (4) the position of the nodal line; among others. Our results not only confirm both the original theorem and Conjecture 13.6 proposed by Judge and Mondal in [Ann. Math., 2020], but also accomplish a key objective outlined in the Polymath 7 research thread 1 led by Terence Tao. Furthermore, we resolve an eigenvalue inequality conjectured by Siudeja [Proc. Amer. Math. Soc., 2016] concerning the ordering of mixed Dirichlet–Neumann Laplacian eigenvalues for triangles. Our approach employs the continuity method via domain deformation. 

 

Tue, 02 Sep 2025
15:00
L4

On a classification of steady solutions to two-dimensional Euler equations

Changfeng Gui
(University of Macau)
Abstract
In this talk,  I shall  provide a classification of steady solutions to two-dimensional incompressible Euler equations in terms of the set of flow angles. The first main result asserts that the set of flow angles of any bounded steady flow in the whole plane must be the whole circle unless the flow is a parallel shear flow. In an infinitely long horizontal strip or the upper half-plane supplemented with slip boundary conditions, besides the two types of flows appeared in the whole space case, there exists an additional class of steady flows for which the set of flow angles is either the upper or lower closed semicircles. This type of flows is proved to be the class of non-shear flows that have the least total curvature.  A  further classification  of this type of solutions will also be  discussed.    As consequences, we obtain Liouville-type theorems for two-dimensional semilinear elliptic equations with only bounded and measurable nonlinearity, and the structural stability of shear flows whose all stagnation points are not inflection points, including Poiseuille flow as a special case. Our proof relies on the analysis of some quantities related to the curvature of the streamlines.
 
This  talk is  based on  joint works with David Ruiz,  Chunjing Xie and  Huan Xu.
Mon, 29 Sep 2025

14:00 - 15:00
Lecture Room 3

TBA

Wael Mattar
(Tel Aviv University)
Abstract

TBA

Fri, 31 Oct 2025

11:00 - 12:00
L4

To be announced

Professor Yoshitaro Tanaka
(Department of Complex and Intelligent Systems School of Systems Information Science Future University Hakodate)
Fri, 14 Nov 2025

11:00 - 12:00
L4

To be announced

Dr Mehmet Can Uçar
(School of Mathematical and Physical Sciences University of Sheffield)
Fri, 21 Nov 2025

11:00 - 12:00
L4

To be announced

Professor Alex Fletcher
(School of Mathematical and Physical Sciences University of Sheffield)
Thu, 27 Nov 2025

14:00 - 15:00
Lecture Room 3

TBA

Alena Kopanicakova
(University of Toulouse)
Abstract

TBA

Fri, 28 Nov 2025

11:00 - 12:00
L4

Competition and warfare in bacteria and the human microbiome

Prof Kevin Foster
(Sir William Dunn School of Pathology University of Oxford)
Abstract

Microbial communities contain many evolving and interacting bacteria, which makes them complex systems that are difficult to understand and predict. We use theory – including game theory, agent-based modelling, ecological network theory and metabolic modelling - and combine this with experimental work to understand what it takes for bacteria to succeed in diverse communities. One way is to actively kill and inhibit competitors and we study the strategies that bacteria use in toxin-mediated warfare. We are now also using our approaches to understand the human gut microbiome and its key properties including ecological stability and the ability to resist invasion by pathogens (colonization resistance). Our ultimate goal is to both stabilise microbiome communities and remove problem species without the use of antibiotics.

Thu, 04 Dec 2025

14:00 - 15:00
Lecture Room 3

TBA

Niall Madden
(University of Galway)
Abstract

TBA