Richard Mycroft is a Lecturer in Mathematics, whose research interests are primarily in the field of Extremal Combinatorics. In particular, he has worked extensively on embeddings of graphs, directed graphs and hypergraphs, and his work has been recognised by the award of an EPSRC First Grant (“Embeddings in Hypergraphs”) to support this programme of research during the period 2015-17.
He regularly publishes research papers in leading mathematics journals, notably including a proof for large tournaments of the well-known Sumner’s conjecture (dating from 1971), and a geometric theory for hypergraph matching, giving wide-ranging sufficient conditions for the existence of perfect matchings in uniform hypergraphs.
Richard enjoys communicating his work both in academic circles and to more general audiences. He regularly presents research at high-profile conferences both nationally and internationally, and has delivered many seminars at mathematics departments in the UK, US, Brazil and Hungary. Within the University of Birmingham, Richard currently lectures the first-year mathematics course in Combinatorics.
School web page http://web.mat.bham.ac.uk/~mycroftr/