The Society funds two Lectureship schemes:
The Hardy Lectureship is named after G.H. Hardy, former President of the Society and De Morgan Medallist. It is normally awarded in odd-numbered years, to a distinguished overseas mathematician. The Hardy Lecturer visits the UK for a period of about 2-3 weeks, and gives the Hardy Lecture at a Society meeting, normally held in London in June/July. The Hardy Lecturer also gives at least six other lectures, on different topics, at other venues in the UK.
The biennial Invited Lecturers scheme aims to bring a distinguished overseas mathematician to the United Kingdom to present a small course of about ten lectures spread over a week. Each course of Invited Lectures is on a major field of current mathematical research, and is instructional in nature, being directed both at graduate students beginning research and at established mathematicians who wish to learn about a field outside their own research specialism.