In this project, we will think about the different ways in which mathematics can be assessed, and investigate whether any are more effective than others.

In this project, we’ll look at models of random graphs describing social networks. There are two phenomena here, at tension with each other: firstly, our connections tend to be connected to each other (there are lots of triangles in the graph). On the other hand, we often know people that nobody else in our friend group does (there are lots of shortcuts between clusters). How do we model this? Which other applications are there?