Our PhD students participate in Postgraduate Research Competition 2013

How the network gets its spots

Due to the discrete nature of networks, many results from the continuum break down due to the lack of a spatial derivative (i.e.: diffusion). We have derived analogous results for the network and show how these can help to analyse patterns on networks which may help to predict the spread of global epidemics as well as Alzheimer's Disease.

Differential equations: A $1,000,000 prize

Who wants to win a million dollars?

The poster outlines that the existence of solutions to differential equations play a vital role in the modeling of many dynamical systems important to everyday life. In particular, the Navier-Stokes equation is of immense importance, such that the existence of solution(s) to it is worth $1,000,000.

Similarities Attract: A New Tool to Model how Ecological
Communities Respond to the Environment

My poster provided a visual crash course on Species Archetype Models (SAMs), a new statistical technique for modeling ecological communities which I have been working on in my PhD. My poster explained the intuition behind SAMs, and how it can overcome the problems associated with trying to model big fat multi-species datasets.

Sorting through garbage: Classifying oceans by their garbage patches

It's known that the global surface ocean contains attracting regions, such as the major ocean gyres and the associated great garbage patches. What's less well known is the extents of the basins of attraction of these regions, and how strongly attracting they are. By calculating the probability of being absorbed into one of these regions, we can get a better understanding of how well-connected different regions of the surface ocean are.