Research

We host a weekly research seminar, currently on Wednesdays at 3pm-4pm.

Dr. Roman Belavkin (Middlesex) – 01/03/2017 at 3:00 pm - 4:00 pm in VG02

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.


Dr. Emilie Dufresne (Durham) – 08/02/2017 at 3:00 pm - 4:00 pm in VG02

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.


Dr. Murad Banaji (Middlesex) – 01/02/2017 at 3:00 pm - 4:00 pm in VG02

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.


Dr. Nick Sharples (Middlesex) – 25/01/2017 at 3:00 pm - 4:00 pm in VG02

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.


Dr. Jonathan Elmer (Middlesex) – 18/01/2017 at 3:00 pm - 4:00 pm in C127

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.


Dr. James Bentham - (Imperial College London) – 14/12/2016 at 3:00 pm - 4:00 pm in C106

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.


 

Older seminars

DateSpeakerInstitutionTitleLink to abstract 
2016-04-20Dr. Paul NorthropUCLCross-validatory extreme value threshold selection and uncertainty with application to offshore engineering
2016-04-13Dr. Chris TownsendRoyal Bank of CanadaCategory theory - some really useful `abstract nonsense’
2016-03-16Dr. Germain Van-BeverOpen UniversityHilbertian Fourth Order Blind Identification
2016-03-09Dr. Alex FinkQueen MaryMatrix Schubert ideals and Gaussian graphical models
2016-02-24Dr. Jonathan ElmerMiddlesexSymmetric powers and invariants of finite groups
2016-02-03Dr. Roman BelavkinMiddlesexAsymmetric Topology of Information
2016-01-27Dr. Eris ChinellatoMiddlesexMachine learning and circular statistics techniques
for spatio-temporal analysis of human activities
2016-01-20Dr. Murad BanajiMiddlesexSome combinatorial and algebraic questions
inspired by dynamical
systems with network
structure
2016-01-13Dr. Matthew JonesMiddlesexCompact Composition Operators on the Hardy Spaces
2015-12-16Dr. Barnaby MartinMiddlesexMinimal generating sets for direct powers of finite algebras
2015-12-09Dr. Nick SharplesMiddlesexIrregular differential equations: well-posedness and fractal geometry