Oscar Randal-Williams works in Algebraic and Geometric Topology, the part of Mathematics dealing with global properties of spaces. He is particularly interested in moduli spaces, meaning spaces of all possible mathematical objects of some type. His work on moduli spaces of manifolds - in collaboration with Søren Galatius - forms the basis to modern approaches to that subject, and most recently he has been exploiting this to study moduli spaces of extremely simple manifolds, such as discs or Euclidean space.
Oscar was awarded a London Mathematical Society Whitehead Prize (2017), a Philip Leverhulme Prize (2017), the Dannie Heineman Prize of the Akademie der Wissenschaften zu Göttingen (2019), the Oberwolfach Prize (2019), the Clay Research Award (2022), and was an invited speaker at the International Congress of Mathematicians (2022). He obtained a DPhil from the University of Oxford (2010) under the guidance of Ulrike Tillmann FRS, and is now the Sadleirian Professor of Pure Mathematics at the University of Cambridge.
Professional position
- Sadleirian Professor of Pure Mathematics, Department of Pure Mathematics and Mathematical Statistics, University of Cambridge
Subject groups
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Mathematics
Pure mathematics