Advancing mathematics by guiding human intuition with AI A Davies, P Veličković, L Buesing, S Blackwell, D Zheng, N Tomašev, ... Nature 600 (7887), 70-74, 2021 | 502 | 2021 |
Word hyperbolic Dehn surgery M Lackenby arXiv preprint math/9808120, 1998 | 231 | 1998 |
The volume of hyperbolic alternating link complements M Lackenby Proceedings of the London Mathematical Society 88 (1), 204-224, 2004 | 197 | 2004 |
Heegaard splittings, the virtually Haken conjecture and Property tau M Lackenby arXiv preprint math/0205327, 2002 | 95 | 2002 |
A polynomial upper bound on Reidemeister moves M Lackenby Annals of Mathematics, 491-564, 2015 | 89 | 2015 |
Expanders, rank and graphs of groups M Lackenby Israel Journal of Mathematics 146, 357-370, 2005 | 82 | 2005 |
The maximal number of exceptional Dehn surgeries M Lackenby, R Meyerhoff arXiv preprint arXiv:0808.1176, 2008 | 75 | 2008 |
Taut ideal triangulations of 3–manifolds M Lackenby Geometry & Topology 4 (1), 369-395, 2000 | 73 | 2000 |
The efficient certification of knottedness and Thurston norm M Lackenby Advances in Mathematics 387, 107796, 2021 | 70 | 2021 |
Expander graph propagation A Deac, M Lackenby, P Veličković Learning on Graphs Conference, 38: 1-38: 18, 2022 | 65 | 2022 |
The Heegaard genus of amalgamated 3-manifolds M Lackenby Geometriae Dedicata 109, 139-145, 2004 | 57 | 2004 |
An upper bound on Reidemeister moves A Coward, M Lackenby American Journal of Mathematics 136 (4), 1023-1066, 2014 | 55 | 2014 |
The canonical decomposition of once-punctured torus bundles M Lackenby Commentarii Mathematici Helvetici 78 (2), 363-384, 2003 | 53 | 2003 |
Large groups, property (τ) and the homology growth of subgroups M Lackenby Mathematical proceedings of the cambridge philosophical society 146 (3), 625-648, 2009 | 46* | 2009 |
The crossing number of composite knots M Lackenby Journal of Topology 2 (4), 747-768, 2009 | 46 | 2009 |
Detecting large groups M Lackenby Journal of Algebra 324 (10), 2636-2657, 2010 | 39 | 2010 |
Dehn surgery on knots in 3-manifolds M Lackenby Journal of the American Mathematical Society 10 (4), 835-864, 1997 | 39 | 1997 |
Elementary knot theory M Lackenby arXiv preprint arXiv:1604.03778, 2016 | 37 | 2016 |
An algorithm to determine the Heegaard genus of simple 3–manifolds with nonempty boundary M Lackenby Algebraic & Geometric Topology 8 (2), 911-934, 2008 | 33* | 2008 |
Surface subgroups of Kleinian groups with torsion M Lackenby Inventiones mathematicae 179 (1), 175-190, 2010 | 25 | 2010 |