Department of Mathematics

Applied Mathematics and Statistics

Research

Our researchers in applied mathematics and statistics use the power of mathematics to better understand the world. We are motivated by questions about understanding complex and chaotic systems, dealing with big data sets and linking micro-dynamics to macro-level patterns. Rather than seeing mathematical modelling and statistics as separate fields, much of our group’s research combines these areas.

Part of our research uses mathematics as a toolbox to help solve empirical problems.  This involves applications in everything from biology and animal behaviour to economics and sociology. For example, we work together with pharmaceutical companies on rate estimation in chemical reactions. A great deal of our applied research is focussed on collective behaviour of animals and humans. Here we create models of how birds flock, how humans behave in social settings and of socio-economic development.

In addition to direct applications, another component of our research is developing rigorous mathematical tools. Here an important an area is computer- aided proofs in analysis and dynamical systems. By developing methods for rigorous computing, where results can be proved rather than just simulated, we can give solutions to problems in non-linear systems that resist solution by traditional mathematical methods. As for statistical methods we focus on, for example, non-linear error-in-variables models and time series analysis. 

Seminars in Applied Mathematics and Statistics

The research programme has two seminar series: CAPA and Mathematical statistics. The seminars are usually annonced in the department's calendar.