Students with interests in discrete probability and/or graph theory are welcome. My current interests include: models for randomly evolving graphs such as preferential attachment; systems of interacting particles moving ballistically or by random walks on graphs; percolation on planar graphs; and extremal problems in graph theory, for example those related to average graph parameters or topological indices.

• Random graphs, particularly models for sparse growing graphs such as preferential attachment.
• Interacting random walks on graphs, and interacting particle systems in Euclidean space.
• Extremal problems for graphs and hypergraphs.

https://j-haslegrave.github.io/