Oscar Randal-Williams

Oscar Randal-Williams is a British mathematician and professor at the University of Cambridge,^[1] working in topology.

He studied mathematics at the University of Oxford (MMath 2006, DPhil 2009), where he wrote his doctoral thesis Stable moduli spaces of manifolds under the supervision of Ulrike Tillmann.^[2] Since 2012 he has been at the University of Cambridge, since 2017 as reader and since 2020 as professor.^[3]

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.^[4]

In 2017, he received^[5] a Whitehead Prize from the London Mathematical Society and a Philip Leverhulme Prize,^[6][7] in 2018 he was awarded an ERC Starting Grant,^[8] 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,^[9] and an editor of the Journal of Topology.

Selected publications[]

• with Boris Botvinnik and Johannes Ebert: Infinite loop spaces and positive scalar curvature. Inventiones Mathematicae 209 (3) (2017), 749–835.
• with Søren Galatius: Stable moduli spaces of high-dimensional manifolds. Acta Mathematica 212 (2014), no. 2, 257–377.
• with Søren 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

References[]

External links[]

• Oscar Randal-Williams at Department of Pure Mathematics and Mathematical Statistics, University of Cambridge
• Oscar Randal-Williams publications indexed by Google Scholar