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## Randal-Williams, Oscar

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 Author ID: randal-williams.oscar Published as: Randal-Williams, Oscar Homepage: https://www.dpmms.cam.ac.uk/~or257/ External Links: MGP · Wikidata · ORCID · GND
 Documents Indexed: 38 Publications since 2008 Biographic References: 1 Publication
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#### Co-Authors

 12 single-authored 10 Galatius, Søren 7 Ebert, Johannes Felix 4 Kupers, Alexander 2 Krannich, Manuel 1 Botvinnik, Boris I. 1 Cantero Morán, Federico 1 Grigor’ev, Il’ya S. 1 Gripaios, Ben M. 1 Hebestreit, Fabian 1 Land, Markus 1 Löh, Clara 1 Lück, Wolfgang 1 Schick, Thomas 1 Wahl, Nathalie
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#### Serials

 4 Geometry & Topology 3 Advances in Mathematics 3 Algebraic & Geometric Topology 2 Mathematische Annalen 2 Selecta Mathematica. New Series 2 The Quarterly Journal of Mathematics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal of Topology 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Physics Letters. B 1 Acta Mathematica 1 Compositio Mathematica 1 Publications Mathématiques 1 Inventiones Mathematicae 1 Topology and its Applications 1 Journal of the American Mathematical Society 1 IMRN. International Mathematics Research Notices 1 Documenta Mathematica 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Oberwolfach Reports 1 Forum of Mathematics, Pi 1 Forum of Mathematics, Sigma 1 Research in the Mathematical Sciences
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#### Fields

 32 Manifolds and cell complexes (57-XX) 30 Algebraic topology (55-XX) 7 Group theory and generalizations (20-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 $$K$$-theory (19-XX) 3 Number theory (11-XX) 3 Algebraic geometry (14-XX) 3 Differential geometry (53-XX) 2 Topological groups, Lie groups (22-XX) 2 Several complex variables and analytic spaces (32-XX) 1 General and overarching topics; collections (00-XX) 1 Category theory; homological algebra (18-XX) 1 Quantum theory (81-XX)

#### Citations contained in zbMATH Open

31 Publications have been cited 270 times in 126 Documents Cited by Year
Stable moduli spaces of high-dimensional manifolds. Zbl 1377.55012
Galatius, Søren; Randal-Williams, Oscar
2014
Homological stability for moduli spaces of high dimensional manifolds. I. Zbl 1395.57044
Galatius, Søren; Randal-Williams, Oscar
2018
Resolutions of moduli spaces and homological stability. Zbl 1366.55011
Randal-Williams, Oscar
2016
Homological stability for automorphism groups. Zbl 1393.18006
Randal-Williams, Oscar; Wahl, Nathalie
2017
Homological stability for unordered configuration spaces. Zbl 1264.55009
Randal-Williams, Oscar
2013
Monoids of moduli spaces of manifolds. Zbl 1205.55007
Galatius, Søren; Randal-Williams, Oscar
2010
Infinite loop spaces and positive scalar curvature. Zbl 1377.53067
Botvinnik, Boris; Ebert, Johannes; Randal-Williams, Oscar
2017
Homological stability for moduli spaces of high dimensional manifolds. II. Zbl 1412.57026
Galatius, Søren; Randal-Williams, Oscar
2017
Abelian quotients of mapping class groups of highly connected manifolds. Zbl 1343.55005
Galatius, Søren; Randal-Williams, Oscar
2016
‘Group-completion’, local coefficient systems and perfection. Zbl 1280.55002
Randal-Williams, Oscar
2013
Torelli spaces of high-dimensional manifolds. Zbl 1387.55020
Ebert, Johannes; Randal-Williams, Oscar
2015
Relations among tautological classes revisited. Zbl 1251.14016
Randal-Williams, Oscar
2012
Semisimplicial spaces. Zbl 07121522
Ebert, Johannes; Randal-Williams, Oscar
2019
Infinite loop spaces and positive scalar curvature in the presence of a fundamental group. Zbl 07079063
Ebert, Johannes; Randal-Williams, Oscar
2019
Tautological rings for high-dimensional manifolds. Zbl 1371.57023
Galatius, Søren; Grigoriev, Ilya; Randal-Williams, Oscar
2017
Homology of the moduli spaces and mapping class groups of framed, $$r$$-spin and pin surfaces. Zbl 1322.55006
Randal-Williams, Oscar
2014
Generalised Miller-Morita-Mumford classes for block bundles and topological bundles. Zbl 1291.57018
Ebert, Johannes; Randal-Williams, Oscar
2014
On the cohomology of Torelli groups. Zbl 1445.55011
Kupers, Alexander; Randal-Williams, Oscar
2020
Stable cohomology of the universal Picard varieties and the extended mapping class group. Zbl 1273.14058
Ebert, Johannes; Randal-Williams, Oscar
2012
$$E_2$$-cells and mapping class groups. Zbl 07130245
Galatius, Søren; Kupers, Alexander; Randal-Williams, Oscar
2019
Cohomology of automorphism groups of free groups with twisted coefficients. Zbl 1453.20048
Randal-Williams, Oscar
2018
An upper bound for the pseudoisotopy stable range. Zbl 1378.57042
Randal-Williams, Oscar
2017
The space of immersed surfaces in a manifold. Zbl 1276.57035
Randal-Williams, Oscar
2013
Embedded cobordism categories and spaces of submanifolds. Zbl 1227.57037
Randal-Williams, Oscar
2011
On the divisibility of characteristic classes of non-oriented surface bundles. Zbl 1175.57023
Ebert, Johannes; Randal-Williams, Oscar
2008
The cohomology of Torelli groups is algebraic. Zbl 07289298
Kupers, Alexander; Randal-Williams, Oscar
2020
Mapping class groups of simply connected high-dimensional manifolds need not be arithmetic. Zbl 1454.57022
Krannich, Manuel; Randal-Williams, Oscar
2020
Some phenomena in tautological rings of manifolds. Zbl 1404.55016
Randal-Williams, Oscar
2018
Homological stability for spaces of embedded surfaces. Zbl 1383.55011
Cantero Morán, Federico; Randal-Williams, Oscar
2017
Detecting and realising characteristic classes of manifold bundles. Zbl 1333.57039
Galatius, Søren; Randal-Williams, Oscar
2014
The homology of the stable nonorientable mapping class group. Zbl 1211.55007
Randal-Williams, Oscar
2008
On the cohomology of Torelli groups. Zbl 1445.55011
Kupers, Alexander; Randal-Williams, Oscar
2020
The cohomology of Torelli groups is algebraic. Zbl 07289298
Kupers, Alexander; Randal-Williams, Oscar
2020
Mapping class groups of simply connected high-dimensional manifolds need not be arithmetic. Zbl 1454.57022
Krannich, Manuel; Randal-Williams, Oscar
2020
Semisimplicial spaces. Zbl 07121522
Ebert, Johannes; Randal-Williams, Oscar
2019
Infinite loop spaces and positive scalar curvature in the presence of a fundamental group. Zbl 07079063
Ebert, Johannes; Randal-Williams, Oscar
2019
$$E_2$$-cells and mapping class groups. Zbl 07130245
Galatius, Søren; Kupers, Alexander; Randal-Williams, Oscar
2019
Homological stability for moduli spaces of high dimensional manifolds. I. Zbl 1395.57044
Galatius, Søren; Randal-Williams, Oscar
2018
Cohomology of automorphism groups of free groups with twisted coefficients. Zbl 1453.20048
Randal-Williams, Oscar
2018
Some phenomena in tautological rings of manifolds. Zbl 1404.55016
Randal-Williams, Oscar
2018
Homological stability for automorphism groups. Zbl 1393.18006
Randal-Williams, Oscar; Wahl, Nathalie
2017
Infinite loop spaces and positive scalar curvature. Zbl 1377.53067
Botvinnik, Boris; Ebert, Johannes; Randal-Williams, Oscar
2017
Homological stability for moduli spaces of high dimensional manifolds. II. Zbl 1412.57026
Galatius, Søren; Randal-Williams, Oscar
2017
Tautological rings for high-dimensional manifolds. Zbl 1371.57023
Galatius, Søren; Grigoriev, Ilya; Randal-Williams, Oscar
2017
An upper bound for the pseudoisotopy stable range. Zbl 1378.57042
Randal-Williams, Oscar
2017
Homological stability for spaces of embedded surfaces. Zbl 1383.55011
Cantero Morán, Federico; Randal-Williams, Oscar
2017
Resolutions of moduli spaces and homological stability. Zbl 1366.55011
Randal-Williams, Oscar
2016
Abelian quotients of mapping class groups of highly connected manifolds. Zbl 1343.55005
Galatius, Søren; Randal-Williams, Oscar
2016
Torelli spaces of high-dimensional manifolds. Zbl 1387.55020
Ebert, Johannes; Randal-Williams, Oscar
2015
Stable moduli spaces of high-dimensional manifolds. Zbl 1377.55012
Galatius, Søren; Randal-Williams, Oscar
2014
Homology of the moduli spaces and mapping class groups of framed, $$r$$-spin and pin surfaces. Zbl 1322.55006
Randal-Williams, Oscar
2014
Generalised Miller-Morita-Mumford classes for block bundles and topological bundles. Zbl 1291.57018
Ebert, Johannes; Randal-Williams, Oscar
2014
Detecting and realising characteristic classes of manifold bundles. Zbl 1333.57039
Galatius, Søren; Randal-Williams, Oscar
2014
Homological stability for unordered configuration spaces. Zbl 1264.55009
Randal-Williams, Oscar
2013
‘Group-completion’, local coefficient systems and perfection. Zbl 1280.55002
Randal-Williams, Oscar
2013
The space of immersed surfaces in a manifold. Zbl 1276.57035
Randal-Williams, Oscar
2013
Relations among tautological classes revisited. Zbl 1251.14016
Randal-Williams, Oscar
2012
Stable cohomology of the universal Picard varieties and the extended mapping class group. Zbl 1273.14058
Ebert, Johannes; Randal-Williams, Oscar
2012
Embedded cobordism categories and spaces of submanifolds. Zbl 1227.57037
Randal-Williams, Oscar
2011
Monoids of moduli spaces of manifolds. Zbl 1205.55007
Galatius, Søren; Randal-Williams, Oscar
2010
On the divisibility of characteristic classes of non-oriented surface bundles. Zbl 1175.57023
Ebert, Johannes; Randal-Williams, Oscar
2008
The homology of the stable nonorientable mapping class group. Zbl 1211.55007
Randal-Williams, Oscar
2008
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#### Cited by 124 Authors

 24 Randal-Williams, Oscar 11 Ebert, Johannes Felix 11 Kupers, Alexander 8 Miller, Jeremy A. 6 Galatius, Søren 6 Krannich, Manuel 5 Nariman, Sam 4 Perlmutter, Nathan 4 Tillmann, Ulrike 4 Wahl, Nathalie 3 Botvinnik, Boris I. 3 Patzt, Peter 3 Tshishiku, Bena 3 Wood, Melanie Matchett 2 Benson, David John 2 Callegaro, Filippo 2 Cantero Morán, Federico 2 Hepworth, Richard A. 2 Jiménez Rolland, Rita 2 Raptis, George 2 Salvetti, Mario 2 Schick, Thomas 2 Soulié, Arthur 2 Tuschmann, Wilderich 2 Walsh, Mark G. 2 Wilson, Jennifer C. H. 2 Wolfson, Jesse 2 Wraith, David J. 1 Almousa, Ayah 1 Barbosa-Torres, Luis Alejandro 1 Basterra, Maria 1 Beardsley, Jonathan 1 Bobkova, Irina 1 Bökstedt, Marcel 1 Boldsen, Søren K. 1 Boyd, Rachael 1 Buijs, Urtzi 1 Burdick, Bradley Lewis 1 Bustamante, Mauricio 1 Calaque, Damien 1 Campagnolo, Caterina 1 Carlotto, Alessandro 1 Chacholski, Wojtek 1 Chen, Weiyan 1 Church, Thomas 1 Cirici, Joana 1 Clader, Emily 1 Crétois, Rémi 1 Darné, Jacques 1 de Jong, Robin 1 Debray, Arun 1 Denham, Graham 1 Dessai, Anand Naique 1 Djament, Aurélien 1 Dotto, Emanuele 1 Elmanto, Elden 1 Enkelmann, Nils-Edvin 1 Farb, Benson 1 Farrell, F. Thomas 1 Frenck, Georg-Joachim 1 Friedrich, Nina 1 Gadish, Nir 1 Gaiffi, Giovanni 1 Gómez-Gonzáles, Claudio 1 Grey, Matthias 1 Grigor’ev, Il’ya S. 1 Gromov, Mikhael Leonidovich 1 Gunningham, Sam 1 Hain, Richard M. 1 Hatcher, Allen Edward 1 Hauge Dollerup, Mia 1 Hebestreit, Fabian 1 Hoyois, Marc 1 Janda, Felix 1 Jiang, Yi 1 Khan, Adeel A. 1 Klaus, Stephan 1 Knudsen, Ben 1 Lang, Lionel 1 Levi, Ran 1 Lorca Espiro, J. 1 Lück, Wolfgang 1 Mann, Kathryn 1 Meshulam, Roy 1 Moi, Kristian Jonsson 1 Morava, Jack Johnson 1 Moriya, Syunji 1 Neumann, Frank 1 Nosaka, Takefumi 1 Novak, Sebastian 1 Palmer, Martin 1 Patchkoria, Irakli 1 Petersen, Dan 1 Pieper, Malte 1 Ponto, Kate 1 Ramras, Daniel A. 1 Ranicki, Andrew A. 1 Reeh, Sune Precht 1 Reinhold, Jens 1 Rovi, Carmen ...and 24 more Authors
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#### Cited in 56 Serials

 11 Algebraic & Geometric Topology 10 Advances in Mathematics 10 Geometry & Topology 8 Mathematische Annalen 7 Transactions of the American Mathematical Society 6 Proceedings of the American Mathematical Society 4 Israel Journal of Mathematics 4 Inventiones Mathematicae 4 Journal of Pure and Applied Algebra 3 Journal of Geometry and Physics 3 Selecta Mathematica. New Series 3 Journal of Topology 2 Journal of Algebra 2 Mathematische Zeitschrift 2 Topology and its Applications 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Journal of Homotopy and Related Structures 2 Forum of Mathematics, Pi 2 Research in the Mathematical Sciences 1 Communications in Algebra 1 General Relativity and Gravitation 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Acta Mathematica 1 Annales de l’Institut Fourier 1 Bulletin of the London Mathematical Society 1 Commentarii Mathematici Helvetici 1 Compositio Mathematica 1 Duke Mathematical Journal 1 Glasgow Mathematical Journal 1 Publications Mathématiques 1 Journal of Combinatorial Theory. Series A 1 Journal of Differential Geometry 1 Journal of Number Theory 1 Michigan Mathematical Journal 1 Annals of Global Analysis and Geometry 1 Journal of the American Mathematical Society 1 Geometric and Functional Analysis. GAFA 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Bulletin of the American Mathematical Society. New Series 1 Journal of Knot Theory and its Ramifications 1 Journal of Algebraic Geometry 1 The New York Journal of Mathematics 1 Journal of Lie Theory 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Documenta Mathematica 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Oberwolfach Reports 1 Frontiers of Mathematics in China 1 Journal of Topology and Analysis 1 Forum of Mathematics, Sigma 1 EMS Surveys in Mathematical Sciences 1 Bollettino dell’Unione Matematica Italiana 1 Journal of Applied and Computational Topology
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#### Cited in 24 Fields

 78 Manifolds and cell complexes (57-XX) 72 Algebraic topology (55-XX) 30 Group theory and generalizations (20-XX) 20 Algebraic geometry (14-XX) 19 Differential geometry (53-XX) 19 Global analysis, analysis on manifolds (58-XX) 15 Category theory; homological algebra (18-XX) 15 $$K$$-theory (19-XX) 10 Number theory (11-XX) 5 Topological groups, Lie groups (22-XX) 5 Several complex variables and analytic spaces (32-XX) 4 Nonassociative rings and algebras (17-XX) 4 Quantum theory (81-XX) 3 Combinatorics (05-XX) 3 Associative rings and algebras (16-XX) 2 General and overarching topics; collections (00-XX) 2 General topology (54-XX) 2 Relativity and gravitational theory (83-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Convex and discrete geometry (52-XX) 1 Astronomy and astrophysics (85-XX)

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