Marc Lackenby

Q: What Schools Are Affiliated With Marc Lackenby

Marc Lackenby is affiliated with the following schools: University of Oxford, University of Cambridge

Marc Lackenby's AcademicInfluence.com Rankings

Marc Lackenby

Mathematics

#1662

World Rank

#2675

Historical Rank

Measure Theory

#3791

World Rank

#4471

Historical Rank

mathematics Degrees

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Mathematics

Why Is Marc Lackenby Influential?

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According to Wikipedia, Marc Lackenby is a professor of mathematics at the University of Oxford whose research concerns knot theory, low-dimensional topology, and group theory. Lackenby studied mathematics at the University of Cambridge beginning in 1990, and earned his Ph.D. in 1997, with a dissertation on Dehn Surgery and Unknotting Operations supervised by W. B. R. Lickorish. After positions as Miller Research Fellow at the University of California, Berkeley and as Research Fellow at Cambridge, he joined Oxford as a Lecturer and Fellow of St Catherine's in 1999. He was promoted to Professor at Oxford in 2006.

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Marc Lackenby's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Word hyperbolic Dehn surgery (1998) (188)
The Volume of Hyperbolic Alternating Link Complements (2000) (162)
Advancing mathematics by guiding human intuition with AI (2021) (156)
Heegaard splittings, the virtually Haken conjecture and Property (τ) (2002) (94)
Expanders, rank and graphs of groups (2004) (75)
The Heegaard Genus of Amalgamated 3-Manifolds (2003) (70)
The maximal number of exceptional Dehn surgeries (2008) (66)
Taut ideal triangulations of 3–manifolds (2000) (58)
A polynomial upper bound on Reidemeister moves (2013) (50)
The efficient certification of knottedness and Thurston norm (2016) (46)
An upper bound on Reidemeister moves (2011) (39)
Large groups, property (τ) and the homology growth of subgroups (2009) (36)
The canonical decomposition of once-punctured torus bundles (2001) (34)
The crossing number of composite knots (2008) (33)
Detecting large groups (2007) (32)
Dehn surgery on knots in 3-manifolds (1997) (31)
An algorithm to determine the Heegaard genus of simple 3–manifolds with nonempty boundary (2007) (28)
The asymptoic behaviour of Heegaard genus (2002) (26)
Covering Spaces of Arithmetic 3-Orbifolds (2006) (24)
Finite covering spaces of 3-manifolds (2011) (24)
Elementary knot theory (2016) (24)
Covering spaces of 3-orbifolds (2005) (23)
Some 3-manifolds and 3-orbifolds with large fundamental group (2005) (22)
Surfaces, surgery and unknotting operations (1997) (22)
A characterisation of large finitely presented groups (2004) (21)
Attaching handlebodies to 3{manifolds (2001) (20)
New lower bounds on subgroup growth and homology growth (2005) (20)
Surface subgroups of Kleinian groups with torsion (2008) (19)
Classification of Alternating Knots with Tunnel Number One (2001) (16)
Some Conditionally Hard Problems on Links and 3-Manifolds (2016) (16)
Dehn surgery and negatively curved 3-manifolds (1998) (16)
Cusp volumes of alternating knots (2014) (16)
Adding high powered relations to large groups (2005) (14)
Fox's congruence classes and the quantum-SU(2) invariants of links in 3-manifolds (1996) (14)
Exceptional surgery curves in triangulated 3-manifolds (1999) (13)
Every knot has characterising slopes (2017) (12)
Unknotting genus one knots (2008) (11)
The signature and cusp geometry of hyperbolic knots (2021) (11)
The crossing number of satellite knots (2011) (11)
Double branched covers of knotoids (2018) (11)
LERF and the Lubotzky–Sarnak Conjecture (2008) (10)
The length of unknotting tunnels (2008) (10)
The triangulation complexity of fibred 3-manifolds (2019) (9)
Spectral geometry, link complements and surgery diagrams (2008) (8)
Expander Graph Propagation (2022) (8)
Geodesics and Compression Bodies (2013) (8)
Large groups, Property (tau) and the homology growth of subgroups (2005) (7)
The Whitney Trick (1996) (6)
Essential twisted surfaces in alternating link complements (2014) (6)
Core curves of triangulated solid tori (2011) (6)
Algorithms in $3$-manifold theory (2020) (5)
Upper bounds in the theory of unknotting operations (1998) (5)
Links with splitting number one (2018) (5)
Finding disjoint surfaces in 3-manifolds (2012) (4)
Recognising elliptic manifolds (2022) (3)
The triangulation complexity of elliptic and sol 3-manifolds (2022) (2)
An algorithm to determine the tunnel number of hyperbolic knots (2007) (2)
The computational complexity of determining knot genus in a fixed 3-manifold (2020) (1)
Back Matter (2009) (0)
Back Matter (2010) (0)
Back Matter (1995) (0)
A characterisation of large ﬁnitely presented groups (2005) (0)
Ju n 20 03 THE VOLUME OF HYPERBOLIC ALTERNATING LINK COMPLEMENTS (2008) (0)
Some Conditionally Hard Problems on Links and 3-Manifolds (2017) (0)
A pr 2 00 8 SURFACE SUBGROUPS OF KLEINIAN GROUPS WITH TORSION (2009) (0)
Ju n 20 04 A CHARACTERISATION OF LARGE FINITELY PRESENTED GROUPS (2008) (0)
Back Matter (2011) (0)
A pr 2 00 8 LERF and the Lubotzky-Sarnak Conjecture (0)
SOME CONDTIONALLY HARD PROBLEMS ON LINKS AND 3-MANIFOLDS (2015) (0)
CORE CURVES OF TRIANGULATED SOLID (2014) (0)
Back Matter (2011) (0)
Four dimensional hyperbolic link complements via Kirby calculus (2015) (0)
Every knot has characterising slopes (2018) (0)
The maximal number of exceptional Dehn surgeries (2012) (0)
Finding disjoint surfaces in 3-manifolds (2013) (0)
A ug 2 01 8 EVERY KNOT HAS CHARACTERISING SLOPES (2018) (0)
The computational complexity of knot genus in a fixed 3‐manifold (2020) (0)

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Other Resources About Marc Lackenby

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What Schools Are Affiliated With Marc Lackenby?

Marc Lackenby is affiliated with the following schools:

Marc Lackenby's Academic­Influence.com Rankings