| Regina, software for low-dimensional topology BA Burton (No Title), 1999 | 121 | 1999 |
| Little cubes and long knots R Budney Topology 46 (1), 1-27, 2007 | 83* | 2007 |
| The mapping class group of a genus two surface is linear SJ Bigelow, RD Budney Algebr. Geom. Topol 1 (34), 699–708, 2001 | 76 | 2001 |
| New perspectives on self-linking R Budney, J Conant, KP Scannell, D Sinha Advances in Mathematics 191 (1), 78-113, 2005 | 74 | 2005 |
| JSJ-decompositions of knot and link complements in the 3-sphere R Budney L'enseignement Mathe'matique 52 (2), 319--359, 2006 | 62 | 2006 |
| A family of embedding spaces R Budney Geometry and Topology Monographs 13, 41--83, 2008 | 59 | 2008 |
| Regina: Software for 3-manifold topology and normal surface theory BA Burton, R Budney, W Pettersson | 52 | 1999 |
| Topology of spaces of knots in dimension 3 R Budney Proc. Lond. Math. Soc. 101 (2), 477--496, 2010 | 46* | 2010 |
| On the homology of the space of knots R Budney, F Cohen Geometry and Topology 13, 99--139, 2009 | 45 | 2009 |
| Regina: Normal surface and 3-manifold topology software BA Burton, R Budney, W Pettersson | 38 | 1999 |
| Knotted 3-balls in S^ 4 R Budney, D Gabai arXiv preprint arXiv:1912.09029, 2019 | 37 | 2019 |
| Topology of musical data WA Sethares, R Budney Journal of Mathematics and Music 8 (1), 73-92, 2014 | 33* | 2014 |
| On the image of the Lawrence-Krammer representation R Budney J. Knot. Thry. Ram. 14 (6), 1--17, 2005 | 26 | 2005 |
| Embeddings of 3-manifolds in S^ 4 from the point of view of the 11-tetrahedron census R Budney Arxiv preprint arXiv:0810.2346, 2008 | 23* | 2008 |
| Embedding calculus knot invariants are of finite type R Budney, J Conant, R Koytcheff, D Sinha Algebraic & Geometric Topology 17 (3), 1701-1742, 2017 | 21 | 2017 |
| An operad for splicing R Budney Journal of Topology 5 (4), 945-976, 2012 | 20 | 2012 |
| The operad of framed discs is cyclic R Budney Journal of Pure and Applied Algebra 212 (1), 193-196, 2008 | 10 | 2008 |
| Bifiltrations and persistence paths for 2–Morse functions R Budney, T Kaczynski Algebraic & Geometric Topology 23 (6), 2895-2924, 2023 | 7 | 2023 |
| Regina BA Burton, R Budney, W Pettersson a normal surface theory calculator, http://regina. sourceforge. net, 2001 | 6 | 2001 |
| Combinatorial spin structures on triangulated manifolds R Budney Algebraic & Geometric Topology 18 (3), 1259-1279, 2018 | 5 | 2018 |
William PetterssonUniversity of GlasgowVerified email at glasgow.ac.uk
