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
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
Further details
Editor of "International Mathematical Research Notices"
Editor of "Groups, Geometry and Dynamics"
Editor of "Journal of Topology" (2007-2021)
Editor of "Journal of the LMS" (2008-2013)
Recent publications
The triangulation complexity of elliptic and sol 3-manifolds
Lackenby, M Purcell, J Mathematische Annalen (12 Jan 2024) Wolfgang Haken, 1928–2022
Callahan, P Kapovich, I Lackenby, M Shalen, P Wilson, R Notices of the American Mathematical Society volume 70 issue 9 1452-1467 (01 Oct 2023) How does over-squashing affect the power of GNNs?
Di Giovanni, F Rusch, T Bronstein, M Deac, A Lackenby, M Mishra, S Veličković, P (06 Jun 2023) The computational complexity of knot genus in a fixed 3-manifold
Lackenby, M Yazdi, M Proceedings of the London Mathematical Society volume 126 issue 3 837-879 (01 Mar 2023) Expander graph propagation
Deac, A Lackenby, M Velickovic, P Proceedings of Machine Learning Research volume 198 38:1-38:18 (21 Dec 2022) Prizes, awards, and scholarships
LMS Whitehead Prize 2003
EPSRC Advanced Research Fellowship 2004-09
Philip Leverhulme Prize 2006
Invited speaker, ICM 2010