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Marc Lackenby
Marc Lackenby
Professor of Mathematics, University of Oxford
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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
5022021
Word hyperbolic Dehn surgery
M Lackenby
arXiv preprint math/9808120, 1998
2311998
The volume of hyperbolic alternating link complements
M Lackenby
Proceedings of the London Mathematical Society 88 (1), 204-224, 2004
1972004
Heegaard splittings, the virtually Haken conjecture and Property tau
M Lackenby
arXiv preprint math/0205327, 2002
952002
A polynomial upper bound on Reidemeister moves
M Lackenby
Annals of Mathematics, 491-564, 2015
892015
Expanders, rank and graphs of groups
M Lackenby
Israel Journal of Mathematics 146, 357-370, 2005
822005
The maximal number of exceptional Dehn surgeries
M Lackenby, R Meyerhoff
arXiv preprint arXiv:0808.1176, 2008
752008
Taut ideal triangulations of 3–manifolds
M Lackenby
Geometry & Topology 4 (1), 369-395, 2000
732000
The efficient certification of knottedness and Thurston norm
M Lackenby
Advances in Mathematics 387, 107796, 2021
702021
Expander graph propagation
A Deac, M Lackenby, P Veličković
Learning on Graphs Conference, 38: 1-38: 18, 2022
652022
The Heegaard genus of amalgamated 3-manifolds
M Lackenby
Geometriae Dedicata 109, 139-145, 2004
572004
An upper bound on Reidemeister moves
A Coward, M Lackenby
American Journal of Mathematics 136 (4), 1023-1066, 2014
552014
The canonical decomposition of once-punctured torus bundles
M Lackenby
Commentarii Mathematici Helvetici 78 (2), 363-384, 2003
532003
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
462009
Detecting large groups
M Lackenby
Journal of Algebra 324 (10), 2636-2657, 2010
392010
Dehn surgery on knots in 3-manifolds
M Lackenby
Journal of the American Mathematical Society 10 (4), 835-864, 1997
391997
Elementary knot theory
M Lackenby
arXiv preprint arXiv:1604.03778, 2016
372016
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
252010
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