Oscar Randal-Williams

Oscar Randal-Williams is a British mathematician and Reader at the University ofCambridge, working in Topology.

He studied mathematics at Oxford (MMath 2006, DPhil 2009), where he wrote his doctoral thesis Stable moduli spaces of manifolds under the supervision of Ulrike Tillmann. Since 2012 he is at the University ofCambridge, since 2017 as Reader.

In joint work with Søren Galatius, he studied moduli spaces of manifolds, leading to a sequence of papers about which his coauthor talked at the ICM 2014.

In 2017, he received a Whitehead Prize from the London Mathematical Society and a Philip Leverhulme Prize, in 2018 he was awarded an ERC Starting Grant , and in 2019 the Dannie-Heineman Prize of the Göttingen Academy of Sciences and Humanities and the Oberwolfach Prize. He is one of two managing editors of the Proceedings of the LMS , and an editor of the Journal of Topology.

• with Boris Botvinnik and Johannes Ebert: Infinite loop spaces and positive scalar curvature. Inventiones mathematicae 209 (3) (2017), 749–835.
• withSøren Galatius: Stable moduli spaces of high-dimensional manifolds. Acta Math. 212 (2014), no. 2, 257–377.
• withSøren Galatius: Homological stability for moduli spaces of high dimensional manifolds, part I, Journal of the AMS 31 (2018), p. 215–264, Arxiv, part II, Annals of Mathematics 186 (2017), p. 127–204, Arxiv