Marc Lackenby

1.6k total citations · 1 hit paper
39 papers, 680 citations indexed

About

Marc Lackenby is a scholar working on Geometry and Topology, Mathematical Physics and Computational Theory and Mathematics. According to data from OpenAlex, Marc Lackenby has authored 39 papers receiving a total of 680 indexed citations (citations by other indexed papers that have themselves been cited), including 39 papers in Geometry and Topology, 23 papers in Mathematical Physics and 15 papers in Computational Theory and Mathematics. Recurrent topics in Marc Lackenby's work include Geometric and Algebraic Topology (38 papers), Homotopy and Cohomology in Algebraic Topology (16 papers) and Advanced Combinatorial Mathematics (10 papers). Marc Lackenby is often cited by papers focused on Geometric and Algebraic Topology (38 papers), Homotopy and Cohomology in Algebraic Topology (16 papers) and Advanced Combinatorial Mathematics (10 papers). Marc Lackenby collaborates with scholars based in United Kingdom, United States and Slovakia. Marc Lackenby's co-authors include Sam Blackwell, András Juhász, Peter Battaglia, Nenad Tomašev, Demis Hassabis, Charles Blundell, Petar Veličković, Lars Buesing, Daniel Zheng and Geordie Williamson and has published in prestigious journals such as Nature, Inventiones mathematicae and Pacific Journal of Mathematics.

In The Last Decade

Marc Lackenby

36 papers receiving 626 citations

Hit Papers

align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

Advancing mathematics by guiding human intuition with AI

2021 243 citations Alex Davies, Petar Veličković et al. Nature profile →

Peers

Marc Lackenby

GT

MP

DMC

CTM

AI

Colin Adams United States

Joel Hass United States

R. James Milgram United States

Graham A. Niblo United Kingdom

Stephen Kirkland Canada

Michael J. Mossinghoff United States

Hui Rao China

Daniel J. Velleman United States

Kunio Murasugi Canada

Charles Bordenave France

Colin Adams United States

Marc Lackenby

644 ×1.5

GT

422 ×1.4

MP

170 ×1.1

DMC

166 ×1.3

CTM

30 ×0.3

AI

Citations per year, relative to Marc Lackenby Marc Lackenby (= 1×) peers Colin Adams

Countries citing papers authored by Marc Lackenby

Since Specialization

Citations

This map shows the geographic impact of Marc Lackenby's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Marc Lackenby with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Marc Lackenby more than expected).

Fields of papers citing papers by Marc Lackenby

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Marc Lackenby. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Marc Lackenby. The network helps show where Marc Lackenby may publish in the future.

Co-authorship network of co-authors of Marc Lackenby

This figure shows the co-authorship network connecting the top 25 collaborators of Marc Lackenby. A scholar is included among the top collaborators of Marc Lackenby based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Marc Lackenby. Marc Lackenby is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

1.

Davies, Alex, András Juhász, Marc Lackenby, & Nenad Tomašev. (2024). The signature and cusp geometry of hyperbolic knots. Geometry & Topology. 28(5). 2313–2343.

2.

Lackenby, Marc & Jessica S. Purcell. (2024). The triangulation complexity of elliptic and sol 3-manifolds. Mathematische Annalen. 390(2). 1623–1667. 1 indexed citations

3.

Lackenby, Marc & Jessica S. Purcell. (2024). The triangulation complexity of fibred3–manifolds. Geometry & Topology. 28(4). 1727–1828. 1 indexed citations

4.

Davies, Alex, Petar Veličković, Lars Buesing, et al.. (2021). Advancing mathematics by guiding human intuition with AI. Nature. 600(7887). 70–74. 243 indexed citations breakdown →

5.

Witten, Edward, Martin R. Bridson, Helmut Hofer, Marc Lackenby, & Rahul Pandharipande. (2017). Lectures on Geometry. Oxford University Press eBooks.

6.

Lackenby, Marc & Jessica S. Purcell. (2014). Geodesics and Compression Bodies. Experimental Mathematics. 23(2). 218–240. 4 indexed citations

7.

Lackenby, Marc, et al.. (2014). An upper bound on Reidemeister moves. American Journal of Mathematics. 136(4). 1023–1066. 12 indexed citations

8.

Lackenby, Marc, et al.. (2011). Unknotting genus one knots. Commentarii Mathematici Helvetici. 86(2). 383–399. 2 indexed citations

9.

Lackenby, Marc. (2010). Detecting large groups. Journal of Algebra. 324(10). 2636–2657. 11 indexed citations

10.

Lackenby, Marc. (2009). Surface subgroups of Kleinian groups with torsion. Inventiones mathematicae. 179(1). 175–190. 7 indexed citations

11.

Lackenby, Marc. (2007). Adding high powered relations to large groups. Mathematical Research Letters. 14(6). 983–993. 4 indexed citations

12.

Lackenby, Marc. (2006). Covering spaces of 3-orbifolds. Duke Mathematical Journal. 136(1). 10 indexed citations

13.

Lackenby, Marc. (2005). A characterisation of large finitely presented groups. Journal of Algebra. 287(2). 458–473. 11 indexed citations

14.

Lackenby, Marc. (2005). Expanders, rank and graphs of groups. Israel Journal of Mathematics. 146(1). 357–370. 26 indexed citations

15.

Lackenby, Marc. (2004). The Heegaard Genus of Amalgamated 3-Manifolds. Geometriae Dedicata. 109(1). 139–145. 35 indexed citations

16.

Lackenby, Marc. (2004). The asymptoic behaviour of Heegaard genus. Mathematical Research Letters. 11(2). 139–149. 5 indexed citations

17.

Lackenby, Marc. (2003). The canonical decomposition of once-punctured torus bundles. Commentarii Mathematici Helvetici. 78(2). 363–384. 13 indexed citations

18.

Lackenby, Marc. (1998). Upper bounds in the theory of unknotting operations. Topology. 37(1). 63–73. 3 indexed citations

19.

Lackenby, Marc. (1997). Surfaces, surgery and unknotting operations. Mathematische Annalen. 308(4). 615–632. 14 indexed citations

20.

Lackenby, Marc. (1996). Fox's congruence classes and the quantum-SU(2) invariants of links in 3-manifolds. Commentarii Mathematici Helvetici. 71(1). 664–677. 5 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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