The electric double layer at the interface between a polyelectrolyte gel and salt bath
 Hennessy, M Celora, G Münch, A Wagner, B Waters, S (27 Jan 2022)
Counterion-controlled phase equilibria in a charge-regulated polymer solution
 Celora, G Blossey, R Münch, A Wagner, B (07 Jul 2023)
The diffusive dynamics and electrochemical regulation of weak polyelectrolytes across liquid interfaces
 Celora, G Blossey, R Munch, A Wagner, B (20 Feb 2025)
Fri, 09 May 2025
16:00
L1

Fridays@4 – From research to market: lessons from an academic founder

Professor Ali El Kaafarani and Sami Walter
Abstract

Please join us for a fireside chat, hosted by OSE, between PQShield founder and visiting professor, Dr Ali El Kaafarani, and Sami Walter, associate at Oxford Sciences Enterprises (OSE). 

Dr Ali El Kaafarani is the founder and CEO of PQShield, a post-quantum cryptography (PQC) company empowering organisations, industries and nations with quantum-resistant cryptography that is modernising the vital security systems and components of the world's technology supply chain.  

In this chat, we’ll discuss Dr Ali El Kaafarani’s experience founding PQShield and lessons learned from spinning a company out from the Oxford ecosystem.

Mon, 26 May 2025

13:00 - 14:00

Mathematrix: Crafts and Chill

Abstract

It’s a busy and stressful term for a lot of us so come and take a break and do some colouring and origami with us. Venting is very much encouraged.

Algebraically hyperbolic groups
 Kielak, D Logan, A Gardam, G Groups, Geometry, and Dynamics
Mon, 16 Jun 2025
16:00
C3

Counting solutions to (some) homogeneous quadratic forms in eight prime variables

Aleksandra Kowalska
(University of Oxford)
Abstract
In 2014, Lilu Zhao counted the solutions to non-degenerate, homogeneous quadratic forms in at least nine prime variables, using the circle method. However, while the suggested formula for the number of solutions is believed to hold for forms in at least five variables, his method seems to break for general forms in less than nine variables.
In 2021, Ben Green solved the problem for forms in eight prime variables (using a very different approach), satisfying a 'genericity' condition. The aim of my project was to solve some forms in eight variables not satisfying this condition.
In the talk, I will describe my findings, which allowed me to count the number of solutions to forms in eight prime variables with off-diagonal rank 3 (i.e., which have an invertible 3x3 submatrix without diagonal entries), which is a subset of non-generic forms.
Mon, 09 Jun 2025
16:00
L6

TBC

Alexandra Kowalska
(Univesity of Oxford)
Abstract

TBC

Mon, 02 Jun 2025
16:00
L6

On the largest $k$-product-free subsets of the Alternating Groups

Anubhab Ghosal
(University of Oxford)
Abstract

A subset $A$ of $A_n$ is $k$-product-free if for all $a_1,a_2,\dots,a_k\in A$, $a_1a_2\dots a_k$ $\notin A$.
We determine the largest $3$-product-free and $4$-product-free subsets of $A_n$ for sufficiently large $n$. We also obtain strong stability results and results on multiple sets with forbidden cross products. The principal technical ingredient in our approach is the theory of hypercontractivity in $S_n$. Joint work with Peter Keevash.

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