Prof. Marc Lackenby

Status

Academic Faculty

Professor of Mathematics

Research groups

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

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 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)

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

Prizes, awards, and scholarships

LMS Whitehead Prize 2003

EPSRC Advanced Research Fellowship 2004-09

Philip Leverhulme Prize 2006

Invited speaker, ICM 2010