Marc Lackenby

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Marc Lackenby, 1997

Marc Lackenby (born August 28, 1972 ) is a British mathematician who studies knot theory and low-dimensional topology.

Lackenby studied at Cambridge University , where he received his PhD in 1997 from WBR Lickorish ( Dehn Surgery and Unknotting Operations ). As a post-doctoral student , he was a Miller Research Fellow at the University of California, Berkeley . He has been a professor at Oxford University since 2006 , where he has been a lecturer and fellow at St. Catherine's College since 1999 .

Among other things, he proved an upper limit (polynomial in the number of crossings) for the number of Reidemeister movements in order to transfer a diagram of an unknot into the trivial diagram.

In 2003 he received the Whitehead Prize , in 2006 the Philip Leverhulme Prize and in 2010 he was invited to speak at the International Congress of Mathematicians in Hyderabad ( Finite covering spaces of 3-manifolds ).

He was an editor of the Journal of the London Mathematical Society from 2008 to 2013 and of the Journal of Topology and Groups, Geometry and Dynamics since 2007 .

Fonts

  • Heegard splittings, the virtual hook conjecture and property ( ) , Invent. Math., Vol. 164, 2006, pp. 317-359, Arxiv
  • Word hyperbolic Dehn surgery , Inventiones Mathematicae, Volume 140, 2000, pp. 243-282, Arxiv
  • The volume of hyperbolic alternating link complements , Proceedings of the London Mathematical Society, Volume 88, 2004, pp. 204-224, Arxiv
  • Covering spaces of 3-orbifolds , Duke Math J., Volume 136, 2007, pp. 181-203
  • with Robert Meyerhoff: The maximal number of exceptional Dehn surgeries , Invent. Math., Volume 191, 2013, pp. 341-382, Arxiv
  • A polynomial upper bound on Reidemeister moves , Annals of Mathematics, Second Series, Volume 182, 2015, pp. 491-564, Arxiv
  • Elementary Knot Theory , Clay Mathematics Institute, Arxiv 2016

Web links

Individual evidence

  1. ↑ Curriculum Vitae, 2012 , pdf
  2. ↑ Marc Lackenby in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  3. ↑ Progress report on the virtual hook conjecture, proven by Ian Agol
  4. ↑ On unsolved problems in knot theory
personal data
SURNAME Lackenby, Marc
BRIEF DESCRIPTION British mathematician
DATE OF BIRTH August 28, 1972