Oscar Randal-Williams

Oscar Randal-Williams is a British mathematician who studies algebraic topology . He is a professor at Cambridge University .

Randal-Williams studied mathematics (MMath 2006) at the University of Oxford , where he received his doctorate in 2009 under Ulrike Tillmann ( stable moduli spaces of manifolds ). He has been in Cambridge since 2013, first as a lecturer , then as a reader.

He investigated and calculated modular spaces of high-dimensional manifolds in a series of works, including with Søren Galatius . Among other things, he applies these methods to the classification of metrics with positive scalar curvature.

In 2017 he received the Whitehead Prize from the London Mathematical Society and the Philip Leverhulme Prize. In 2018 he received an ERC Starting Grant. For 2019, Randal-Williams was awarded the Dannie Heineman Prize of the Academy of Sciences in Göttingen and the Oberwolfach Prize . His co-author Søren Galatius was an invited speaker at the ICM in Seoul in 2014 , where he reported on the joint work with Randal-Williams (Moduli spaces of manifolds) .

Fonts (selection)

• with Boris Botvinnik and Johannes Ebert: Infinite loop spaces and positive scalar curvature. In: Inventiones Mathematicae . Volume 209, No. 3, 2017, pp. 749-835, doi : 10.1007 / s00222-017-0719-3 .
• with Søren Galatius : Stable moduli spaces of high-dimensional manifolds. In: Acta Mathematica . Volume 212, No. 2, 2014, pp. 257-377, doi : 10.1007 / s11511-014-0112-7 .
• with Søren Galatius: Homological stability for moduli spaces of high dimensional manifolds . Part 1. In: Journal of the American Mathematical Society . Volume 31, No. 1, 2018, pp. 215-264, arxiv : 1403.2334 . Part 2. In: Annals of Mathematics . Series 2, Volume 186, No. 1, 2017, pp. 127-204, arxiv : 1601.00232 .

Web links

• Homepage in Cambridge

Individual evidence

1. ↑ Oscar Randal-Williams in the Mathematics Genealogy Project (English)