Date/Time Event
12:00 pm - 6:00 pm
Invariant Theory: Recent Progress and Applications
The Quad, London

A one day meeting in invariant theory: recent progress and applications will take place on Friday 16th June at Middlesex University, Hendon. The meeting aims to bring together researchers in invariant theory and researchers in other areas of algebra and geometry in which invariant theory can be applied. The following have agreed to speak:

  • Emilie Dufresne (Nottingham)
  • Jonathan Elmer (Middlesex)
  • R. J. Shank (Kent)

There is a limited amount of funding available to cover travel and accommodation expenses for PhD students. For further information, send me an email on j.elmer at mdx dot ac dot uk. The meeting is supported by an LMS scheme 1 (celebrating new appointments) grant.

There is no registration fee, but places are limited. To book your place, please use the form below.


3:00 pm - 4:00 pm
Dr. Roman Belavkin (Middlesex)
VG02, Hendon London

Topologies and their specialization pre-orders

Pre-orders play an important role in economics as preference relations and in cosmology as causality relation.

In this talk, we shall consider several properties of pre-orders and their corresponding topological properties, such as compactness, connectedness, countability, Baire category theorem and some others.

3:00 pm - 4:00 pm
Dr. Emilie Dufresne (Durham)
VG02, Hendon London

The geometry of sloppiness

Mathematical models in the sciences often require the estimation of unknown parameter values from data. Sloppiness provides information about the uncertainty of this task. We develop a precise mathematical foundation for sloppiness and define rigorously its key concepts.
We illustrate the various concepts involved in the proper definition of sloppiness with examples of ordinary differential equation models with time series data.

We also highlight the links with invariant theory and the notion of separating set.

3:00 pm - 4:00 pm
Dr. Murad Banaji (Middlesex)
VG02, Hendon London

Exterior algebra and dynamical systems (Part 1)

I’ll give a (gentle) introduction to tensor algebra focussed, in particular, on exterior algebra and motivated by certain problems in dynamical systems.

3:00 pm - 4:00 pm
Dr. Nick Sharples (Middlesex)
VG02, Hendon London

Fractal dimension of Moran sets and applications to PDEs

In this talk I will show that a large class of Moran sets are “equi-homogeneous”, which means that the scaling of local covers is uniform across all points of the set. We will see that equi-homogeneity implies that the Assouad dimension can be recovered from the more straightforward box-counting dimensions, provided that the box-counting dimensions are suitably `well behaved’.

Finally, we will look at applications to Partial Differential Equations: an attractor of a PDE describes the eventual behaviour of solutions, but is a subset of a infinite dimensional space. However the attractor can be described by finitely many parameters depending upon its fractal dimension. The Moran sets analysed previously serve as more straightforward prototypes of these important attracting sets.

3:00 pm - 4:00 pm
Dr. Jonathan Elmer (Middlesex)
C127, Hendon London

Separating invariants

Separating invariants are a recent trend in invariant theory, and also a return to the subjects’ roots – using invariants to separate orbits. In this talk I will explain how to solve the “separating version” of one of the oldest problems in invariant theory – the ring of invariants of binary forms of arbitrary degree.

3:00 pm - 4:00 pm
Dr. James Bentham - (Imperial College London)
C106, Hendon

Bayesian hierarchical models: anthropometric and cardiometabolic risk factors

We have developed complex Bayesian hierarchical models of adult body mass index, diabetes and attained height, using data for millions of people to make our estimates. These models provide information for every country in the world over several decades or more. To do so, they must borrow strength across geographical units and time, making estimates for countries and years with no data.

I will describe the various features of the models, including their hierarchy, a non-linear random walk over time, the age model and the covariates used to inform model fitting. I will also explain the coding of the MCMC sampler used to fit the models. Finally, I will present recently published estimates for some of the variables, and will show how we have presented these results using dynamic visualisations.

12:15 pm - 1:15 pm
Diffusion of the Dead - Dr. Thomas Woolley
CG76, Hendon

Knowing how long we have before we interact with a zombie could mean the difference between life, death and zombification.
Here, we apply the same mathematical models to zombies that you would use to describe flu, or measles.
We use this model to derive exact and approximate interaction times and use these to develop strategies which allow the human race to survive impending doom.

1:00 pm - 2:00 pm
Mathematical Ideas in Time
CG13, Hendon

Robert Darwen from Ideas in Time will be giving a talk to Maths students

Robert will be talking about the mathematical aspects of the design of the Fibonacci clock and the mathematical challenges in the designs themselves.

The design of the clock involves product design, engineering and mathematics.

If you are interested please come along.

9:00 am - 1:30 pm
Messy Maths
Enfield Highlands School, London

We invite sixth-formers to put down their textbooks and learn some cutting-edge applications of mathematics!

Dr. Murad Banaji will talk about the messy mathematics of living things.

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