Catherine Greenhill University of New South Wales Random regular graphs Friday 30th April, 12:05-12:55pm, Carslaw 373. The first random graph models were introduced by Erdös in 1947. Since then there has been immense interest in random graphs, and more recently in random regular graphs. I will give a gentle introduction to this area, discussing random graph models and random graph processes, with a particular focus on connectivity results. No specialist knowledge is required (my starting point is the definition of a graph).