Prof. Marc Lackenby
Status
Academic Faculty
Professor of Mathematics
Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Highlighted publications
A polynomial upper bound on Reidemeister moves
Lackenby, M Annals of Mathematics volume 182 issue 2 491-564 (Sep 2015) http://arxiv.org/abs/1302.0180v2 The maximal number of exceptional Dehn surgeries
Lackenby, M Meyerhoff, R Inventiones Mathematicae volume 191 issue 2 341-382 (01 Feb 2013) The crossing number of composite knots
Lackenby, M (30 May 2008) http://arxiv.org/abs/0805.4706v2 The volume of hyperbolic alternating link complements
Lackenby, M Proceedings of the London Mathematical Society volume 88 issue 1 204-224 (13 Jan 2004) Word hyperbolic Dehn surgery
Lackenby, M (28 Aug 1998) http://arxiv.org/abs/math/9808120v2 Research interests
Topology, geometry and group theory
Prizes, awards, and scholarships
LMS Whitehead Prize 2003
EPSRC Advanced Research Fellowship 2004-09
Philip Leverhulme Prize 2006
Invited speaker, ICM 2010
Recent publications
The computational complexity of knot genus in a fixed 3-manifold
Lackenby, M Yazdi, M Proceedings of the London Mathematical Society (01 Jan 2023) The triangulation complexity of elliptic and sol 3-manifolds
Lackenby, M Purcell, J (09 Dec 2022) http://arxiv.org/abs/2212.04683v1 Expander Graph Propagation
Deac, A Lackenby, M Veličković, P (06 Oct 2022) http://arxiv.org/abs/2210.02997v2 Recognising elliptic manifolds
Lackenby, M Schleimer, S (18 May 2022) http://arxiv.org/abs/2205.08802v2 Advancing mathematics by guiding human intuition with AI
Davies, A Velickovic, P Buesing, L Blackwell, S Zheng, D Tomasev, N Tanburn, R Battaglia, P Blundell, C Juhasz, A Lackenby, M Williamson, G Hassabis, D Kohli, D Nature volume 600 70-74 (01 Dec 2021) Further details
Editor of "Journal of Topology"
Editor of "Groups, Geometry and Dynamics"
Editor of "Journal of the LMS" (2008-2013)