Peter McMullen (born 11 May 1942)[1] is a British mathematician, a professor emeritus of mathematics at University College London.
[2] McMullen earned bachelor's and master's degrees from Trinity College, Cambridge, and studied at the University of Birmingham, where he received his doctorate in 1968.
[6] McMullen also formulated the g-conjecture, later the g-theorem of Louis Billera, Carl W. Lee, and Richard P. Stanley, characterizing the f-vectors of simplicial spheres.
[8] He is also known for his 1960s drawing, by hand, of a 2-dimensional representation of the Gosset polytope 421, the vertices of which form the vectors of the E8 root system.
[9] McMullen was invited to speak at the 1974 International Congress of Mathematicians in Vancouver; his contribution there had the title Metrical and combinatorial properties of convex polytopes.