Lackenby, Marc - Mathematical Institute, University of Oxford

• LERF and the LubotzkySarnak Conjecture M. Lackenby # , D. D. Long & A. W. Reid +
• Topology & Groups Michaelmas 2008
• ADDING HIGH POWERED RELATIONS TO LARGE GROUPS
• Introduction to Riemannian manifolds All manifolds will be connected, Hausdor# and second countable.
• A CHARACTERISATION OF LARGE FINITELY PRESENTED GROUPS
• Finite covers of 3manifolds, II Marc Lackenby
• AN ALGORITHM TO DETERMINE THE HEEGAARD GENUS OF SIMPLE 3MANIFOLDS
• Surface subgroups in dimension 3
• Homology in Finite Index Worcester College
• 8. Hierarchies In this section, we consider not just a single incompressible surface, but a
• HEEGAARD SPLITTINGS, THE VIRTUALLY HAKEN CONJECTURE
• Finite covers of 3manifolds, III Marc Lackenby
• THE MAXIMAL NUMBER OF EXCEPTIONAL DEHN SURGERIES
• Constructing the Cayley Graphs of Fd/Dp Henry Bradford
• Topology & Groups Michaelmas 2008
• Topology & Groups Michaelmas 2008
• Surface subgroups in dimension 3
• Taut ideal triangulations of 3-manifolds Marc Lackenby
• THE HEEGAARD GENUS OF AMALGAMATED 3MANIFOLDS
• UNKNOTTING GENUS ONE KNOTS ALEXANDER COWARD AND MARC LACKENBY
• Topology & Groups Michaelmas 2008
• SURFACE SUBGROUPS OF KLEINIAN GROUPS WITH TORSION
• The Geometry and Topology of Finite Index Subgroups, III
• Part III Hyperbolic Manifolds Examples Sheet 1
• LERF and the Lubotzky-Sarnak Conjecture M. Lackenby
• SURFACE SUBGROUPS OF KLEINIAN GROUPS WITH TORSION
• Section c Algebraic Topology Hilary 2002
• 4. Basic pl topology We have already had to state without proof of a number of results of the form
• Topology & Groups Michaelmas 2008
• LARGE GROUPS, PROPERTY (# ) AND THE HOMOLOGY GROWTH OF SUBGROUPS
• Part III Hyperbolic Manifolds Examples Sheet 2
• NEW LOWER BOUNDS ON SUBGROUP GROWTH AND HOMOLOGY GROWTH
• The Geometry and Topology of Finite Index Subgroups, II
• DEHN SURGERY AND NEGATIVELY CURVED 3-MANIFOLDS
• THE ASYMPTOTIC BEHAVIOUR OF HEEGAARD GENUS
• THE HEEGAARD GENUS OF AMALGAMATED 3-MANIFOLDS
• A CHARACTERISATION OF LARGE FINITELY PRESENTED GROUPS
• EXPANDERS, RANK AND GRAPHS OF GROUPS MARC LACKENBY
• CLASSIFICATION OF ALTERNATING KNOTS WITH TUNNEL NUMBER ONE
• HEEGAARD SPLITTINGS, THE VIRTUALLY HAKEN CONJECTURE
• COVERING SPACES OF 3-ORBIFOLDS MARC LACKENBY
• ADDING HIGH POWERED RELATIONS TO LARGE GROUPS
• NEW LOWER BOUNDS ON SUBGROUP GROWTH AND HOMOLOGY GROWTH
• LARGE GROUPS, PROPERTY () AND THE HOMOLOGY GROWTH OF SUBGROUPS
• THE CROSSING NUMBER OF COMPOSITE KNOTS MARC LACKENBY
• Proceedings of the International Congress of Mathematicians Hyderabad, India, 2010
• AN UPPER BOUND ON REIDEMEISTER MOVES ALEXANDER COWARD AND MARC LACKENBY
• Surface subgroups of arithmetic Kleinian groups
• Surface subgroups in dimension 3
• Topology & Groups Michaelmas 2008
• Topology & Groups Michaelmas 2008
• Topology & Groups Michaelmas 2008
• Topology & Groups Michaelmas 2008
• Topology & Groups Michaelmas 2008
• TOPOLOGY AND GROUPS Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2
• 3. Incompressible surfaces The majority of 3manifold theory studies submanifolds of a 3manifold M ,
• EXPANDERS, RANK AND GRAPHS OF GROUPS MARC LACKENBY
• Property (#) and Geometry, III Marc Lackenby
• Topology & Groups Michaelmas 2008
• ATTACHING HANDLEBODIES TO 3-MANIFOLDS MARC LACKENBY
• RESEARCH SUMMARY MARC LACKENBY
• Property (#) and Geometry, II Marc Lackenby
• Finite covers of 3manifolds, I Marc Lackenby
• Section c Algebraic Topology Hilary 2003
• Threedimensional manifolds Michaelas Term 1999
• CLASSIFICATION OF ALTERNATING KNOTS WITH TUNNEL NUMBER ONE
• Section c Algebraic Topology Hilary 2003
• Topology & Groups Michaelmas 2008
• TOPOLOGY AND GROUPS Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2
• 6. Constructing hyperbolic manifolds Recall that a hyperbolic manifold is a (G, X)manifold, where X is H n and
• THE CROSSING NUMBER OF COMPOSITE KNOTS MARC LACKENBY
• DETECTING LARGE GROUPS MARC LACKENBY
• DETECTING LARGE GROUPS MARC LACKENBY
• Curriculum Vitae Marc Lackenby
• WORD HYPERBOLIC DEHN SURGERY MARC LACKENBY
• Section c Algebraic Topology Hilary 2003
• The Geometry and Topology of Finite Index Subgroups
• SPECTRAL GEOMETRY, LINK COMPLEMENTS AND SURGERY DIAGRAMS
• THE CANONICAL DECOMPOSITION OF ONCE-PUNCTURED TORUS BUNDLES
• AN ALGORITHM TO DETERMINE THE HEEGAARD GENUS OF SIMPLE 3-MANIFOLDS
• DEHN SURGERY AND NEGATIVELY CURVED 3MANIFOLDS
• 6. Regular neighbourhoods and fibre bundles Theorem 6.1. (Regular neighbourhoods of submanifolds) Let L be a submanifold
• AN UPPER BOUND ON REIDEMEISTER MOVES ALEXANDER COWARD AND MARC LACKENBY
• THE ASYMPTOTIC BEHAVIOUR OF HEEGAARD GENUS
• Section c Algebraic Topology Hilary 2002
• Hyperbolic Manifolds Hilary Term 2000
• ThreeDimensional Manifolds Michaelmas Term 1999
• Taut ideal triangulations of 3manifolds Marc Lackenby
• SPECTRAL GEOMETRY, LINK COMPLEMENTS AND SURGERY DIAGRAMS
• Property (#) and geometry, IV Marc Lackenby
• Topology & Groups Michaelmas 2008
• THE CANONICAL DECOMPOSITION OF ONCEPUNCTURED TORUS BUNDLES
• THE VOLUME OF HYPERBOLIC ALTERNATING LINK COMPLEMENTS
• SOME 3MANIFOLDS AND 3ORBIFOLDS WITH LARGE FUNDAMENTAL GROUP
• Surface subgroups in dimension 3
• COVERING SPACES OF 3ORBIFOLDS MARC LACKENBY
• SOME 3-MANIFOLDS AND 3-ORBIFOLDS WITH LARGE FUNDAMENTAL GROUP
• Topology & Groups Michaelmas 2008
• Threedimensional manifolds Michaelmas Term 1999
• WORD HYPERBOLIC DEHN SURGERY MARC LACKENBY
• Hyperbolic Manifolds Hilary Term 2000
• Introduction to Riemannian manifolds All manifolds will be connected, Hausdorff and second countable.
• THE CROSSING NUMBER OF SATELLITE KNOTS MARC LACKENBY
• AN UPPER BOUND ON REIDEMEISTER MOVES ALEXANDER COWARD AND MARC LACKENBY
• CORE CURVES OF TRIANGULATED SOLID TORI MARC LACKENBY
• 6. Constructing hyperbolic manifolds Recall that a hyperbolic manifold is a (G, X)-manifold, where X is Hn
• Part III Hyperbolic Manifolds Examples Sheet 2
• Part III Hyperbolic Manifolds Examples Sheet 1
• CORE CURVES OF TRIANGULATED SOLID TORI MARC LACKENBY
• THE CROSSING NUMBER OF SATELLITE KNOTS MARC LACKENBY
• AN UPPER BOUND ON REIDEMEISTER MOVES ALEXANDER COWARD AND MARC LACKENBY
• THE MAXIMAL NUMBER OF EXCEPTIONAL DEHN SURGERIES
• TOPOLOGY AND GROUPS Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2
• TOPOLOGY AND GROUPS Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2
• Curriculum Vitae Marc Lackenby
• THE CROSSING NUMBER OF SATELLITE KNOTS MARC LACKENBY
• THE CROSSING NUMBER OF SATELLITE KNOTS MARC LACKENBY
• THE VOLUME OF HYPERBOLIC ALTERNATING LINK COMPLEMENTS
• UNKNOTTING GENUS ONE KNOTS ALEXANDER COWARD AND MARC LACKENBY