Oscar Randal-Williams

Oscar Randal-Williams's AcademicInfluence.com Rankings

Mathematics

#2627

World Rank

#4021

Historical Rank

Measure Theory

#4608

World Rank

#5395

Historical Rank

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Mathematics

Why Is Oscar Randal-Williams Influential?

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According to Wikipedia, Oscar Randal-Williams is a British mathematician and professor at the University of Cambridge, working in topology. He studied mathematics at the University of Oxford , where he wrote his doctoral thesis Stable moduli spaces of manifolds under the supervision of Ulrike Tillmann. Since 2012 he has been at the University of Cambridge, since 2017 as reader and since 2020 as professor. From 1 January 2024, he will be the Sadleirian Professor of Pure Mathematics.

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Oscar Randal-Williams's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Homological stability for automorphism groups (2014) (123)
Homological stability for moduli spaces of high dimensional manifolds (2012) (118)
Stable moduli spaces of high-dimensional manifolds (2012) (90)
HOMOLOGICAL STABILITY FOR UNORDERED CONFIGURATION SPACES (2011) (82)
Resolutions of moduli spaces and homological stability (2009) (79)
Monoids of moduli spaces of manifolds (2009) (72)
Infinite loop spaces and positive scalar curvature (2014) (61)
Homology of the moduli spaces and mapping class groups of framed, r‐Spin and Pin surfaces (2010) (40)
$E_2$-cells and mapping class groups (2018) (29)
‘GROUP-COMPLETION’, LOCAL COEFFICIENT SYSTEMS AND PERFECTION (2013) (29)
Semisimplicial spaces (2017) (28)
Homological stability for moduli spaces of high dimensional manifolds. II (2017) (25)
Semi-simplicial spaces (2019) (25)
Abelian quotients of mapping class groups of highly connected manifolds (2014) (24)
Relations among tautological classes revisited (2010) (23)
Infinite loop spaces and positive scalar curvature in the presence of a fundamental group (2017) (22)
Generalised Miller–Morita–Mumford classes for block bundles and topological bundles (2013) (21)
An upper bound for the pseudoisotopy stable range (2015) (20)
Moduli spaces of manifolds: a user's guide (2018) (16)
The positive scalar curvature cobordism category (2019) (15)
A vanishing theorem for tautological classes of aspherical manifolds (2017) (15)
Stable cohomology of the universal Picard varieties and the extended mapping class group (2010) (14)
Cohomology of automorphism groups of free groups with twisted coefficients (2016) (14)
ON THE COHOMOLOGY OF TORELLI GROUPS (2019) (14)
“TOPOLOGICAL CHIRAL HOMOLOGY” AND CONFIGURATION SPACES OF SPHERES (2013) (14)
The homology of the stable nonorientable mapping class group (2008) (13)
The Picard group of the moduli space of r-Spin Riemann surfaces (2011) (13)
Torelli spaces of high‐dimensional manifolds (2013) (13)
Cellular $E_k$-algebras (2018) (13)
Tautological rings for high-dimensional manifolds (2015) (12)
Embedded Cobordism Categories and Spaces of Submanifolds (2009) (12)
The cohomology of Torelli groups is algebraic (2019) (12)
On diffeomorphisms of even-dimensional discs (2020) (8)
On the divisibility of characteristic classes of non-oriented surface bundles (2007) (7)
The stable cohomology of automorphisms of free groups with coefficients in the homology representation (2010) (7)
An HP 2 -bundle over S 4 with nontrivial Â-genus (2020) (7)
Some phenomena in tautological rings of manifolds (2016) (6)
Exposé Bourbaki 1164 : Homology of Hurwitz spaces and the Cohen-Lenstra heuristic for function fields (after Ellenberg, Venkatesh, and Westerland) (2019) (6)
Diffeomorphisms of discs and the second Weiss derivative of BTop(-) (2021) (6)
Detecting and realising characteristic classes of manifold bundles (2013) (5)
The space of immersed surfaces in a manifold (2012) (5)
Homological stability for spaces of surfaces (2013) (5)
E2$E_{2}$-cells and mapping class groups (2018) (4)
Homological stability for spaces of embedded surfaces (2013) (4)
$E_\infty$-cells and general linear groups of finite fields (2018) (4)
Mapping class groups of simply connected high-dimensional manifolds need not be arithmetic (2020) (4)
Topology of electroweak vacua (2016) (4)
An ${\bf H}P^2$-bundle over $S^4$ with nontrivial $\hat{A}$-genus (2020) (3)
On the order of Dehn twists (2021) (2)
On the Torelli Lie algebra (2021) (2)
Differential cohomology and topological actions in physics (2020) (2)
An upper bound for the concordance stable range (2015) (1)
Quantization of Chern-Simons topological invariants for H-type and L-type quantum systems (2020) (1)
On automorphisms of high-dimensional solid tori (2020) (1)
Equivariant homotopy: KR-theory (2011) (1)
The family signature theorem (2022) (1)
Algebraic independence of topological Pontryagin classes (2022) (1)
Stable moduli spaces of manifolds (2009) (1)
DIFFEOMORPHISMS OF DISKS (2019) (1)
Infinite loop spaces and positive scalar curvature (2017) (0)
Classical homological stability from the point of view of cells (2022) (0)
SUMMER SCHOOL ON HOMOTOPY THEORY OF MODULI SPACES (2010) (0)
Operations on stable moduli spaces (2019) (0)
Cohomology of automorphism groups of free groups with twisted coefficients (2017) (0)
Mini-courses Talks Monday Malte Pieper Surya Raghavendran (2016) (0)
Some phenomena in tautological rings of manifolds (2018) (0)
An upper bound for the pseudoisotopy stable range (2016) (0)
Ja n 20 17 INFINITE LOOP SPACES AND POSITIVE SCALAR CURVATURE (0)
Manifolds and Groups (2021) (0)
An HP-bundle over S with nontrivial Â-genus (2021) (0)
Characteristic classes and K-theory (2018) (0)
Operations on stable moduli spaces (2020) (0)
Generalized symmetries of topological field theories (2022) (0)
Framings of Wg,1 (2021) (0)
A CALCULUS FOR THE MODULI SPACE OF CURVES (2018) (0)
Abelian quotients of mapping class groups of highly connected manifolds (2015) (0)
Framings of $W_{g,1}$ (2020) (0)
Algebraic Topology (2016) (0)
An $HP^2$-bundle over $S^4$ with nontrivial $\hat{A}$-genus. (2020) (0)
TAUTOLOGICAL RINGS AND STABILISATION (2020) (0)
On the cohomology of Torelli groups. II (2023) (0)
Part IB — Groups, Rings and Modules (2020) (0)
ERRATUM TO: MONOIDS OF MODULI SPACES OF MANIFOLDS (2015) (0)
Diffeomorphisms of discs (2022) (0)
Stable cohomology of congruence subgroups (2022) (0)

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