Nathan M. Dunfield

869 total citations
17 papers, 312 citations indexed

About

Nathan M. Dunfield is a scholar working on Geometry and Topology, Mathematical Physics and Discrete Mathematics and Combinatorics. According to data from OpenAlex, Nathan M. Dunfield has authored 17 papers receiving a total of 312 indexed citations (citations by other indexed papers that have themselves been cited), including 15 papers in Geometry and Topology, 11 papers in Mathematical Physics and 6 papers in Discrete Mathematics and Combinatorics. Recurrent topics in Nathan M. Dunfield's work include Geometric and Algebraic Topology (15 papers), Advanced Combinatorial Mathematics (6 papers) and Homotopy and Cohomology in Algebraic Topology (6 papers). Nathan M. Dunfield is often cited by papers focused on Geometric and Algebraic Topology (15 papers), Advanced Combinatorial Mathematics (6 papers) and Homotopy and Cohomology in Algebraic Topology (6 papers). Nathan M. Dunfield collaborates with scholars based in United States, Germany and United Kingdom. Nathan M. Dunfield's co-authors include Jacob Rasmussen, Sergei Gukov, William P. Thurston, Frank Calegari, Stefan Friedl, Stavros Garoufalidis, Anil N. Hirani, Jeffrey Brock, Danny Calegari and Morwen Thistlethwaite and has published in prestigious journals such as Transactions of the American Mathematical Society, Inventiones mathematicae and Journal of Mechanical Design.

In The Last Decade

Nathan M. Dunfield

17 papers receiving 273 citations

Peers

Nathan M. Dunfield

GT

MP

DMC

CTM

NHEP

Yoshiyuki Yokota Japan

Nathan Habegger France

Nikolai Saveliev United States

Daniel Ruberman United States

Bert Wiest France

Klaus Johannson Germany

David Nadler United States

Richárd Rimányi United States

Stefan Friedl Germany

David Joyce United States

Yoshiyuki Yokota Japan

Nathan M. Dunfield

316 ×1.1

GT

208 ×0.9

MP

141 ×1.4

DMC

64 ×1.3

CTM

11 ×0.6

NHEP

Citations per year, relative to Nathan M. Dunfield Nathan M. Dunfield (= 1×) peers Yoshiyuki Yokota

Countries citing papers authored by Nathan M. Dunfield

Since Specialization

Citations

This map shows the geographic impact of Nathan M. Dunfield'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 Nathan M. Dunfield with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Nathan M. Dunfield more than expected).

Fields of papers citing papers by Nathan M. Dunfield

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Nathan M. Dunfield. 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 Nathan M. Dunfield. The network helps show where Nathan M. Dunfield may publish in the future.

Co-authorship network of co-authors of Nathan M. Dunfield

This figure shows the co-authorship network connecting the top 25 collaborators of Nathan M. Dunfield. A scholar is included among the top collaborators of Nathan M. Dunfield 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 Nathan M. Dunfield. Nathan M. Dunfield is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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17 of 17 papers shown

1.

Dunfield, Nathan M., et al.. (2023). Computing a Link Diagram From Its Exterior. Discrete & Computational Geometry. 71(1). 121–159. 1 indexed citations

2.

Dunfield, Nathan M., et al.. (2023). Enumeration and Identification of Unique 3D Spatial Topologies of Interconnected Engineering Systems Using Spatial Graphs. Journal of Mechanical Design. 145(10). 1 indexed citations

3.

Brock, Jeffrey & Nathan M. Dunfield. (2017). Norms on the cohomology of hyperbolic 3-manifolds. Inventiones mathematicae. 210(2). 531–558. 5 indexed citations

4.

Dunfield, Nathan M., et al.. (2012). Twisted Alexander Polynomials of Hyperbolic Knots. Experimental Mathematics. 21(4). 329–352. 26 indexed citations

5.

Dunfield, Nathan M. & Anil N. Hirani. (2011). The least spanning area of a knot and the optimal bounding chain problem. 135–144. 8 indexed citations

6.

Dunfield, Nathan M.. (2007). \tFinite covers of random 3-manifolds. 40 indexed citations

7.

Calegari, Danny & Nathan M. Dunfield. (2006). An ascending HNN extension of a free group inside SL₂ℂ. Proceedings of the American Mathematical Society. 134(11). 3131–3136. 2 indexed citations

8.

Dunfield, Nathan M., Sergei Gukov, & Jacob Rasmussen. (2006). The Superpolynomial for Knot Homologies. Experimental Mathematics. 15(2). 129–159. 125 indexed citations

9.

Dunfield, Nathan M., et al.. (2006). Behavior of knot invariants under genus 2 mutation. arXiv (Cornell University). 16. 99–123. 4 indexed citations

10.

Calegari, Frank & Nathan M. Dunfield. (2006). Automorphic forms and rational homology 3–spheres. Geometry & Topology. 10(1). 295–329. 20 indexed citations

11.

Dunfield, Nathan M. & Stavros Garoufalidis. (2004). Non-triviality of theA–polynomial for knots inS³. Algebraic & Geometric Topology. 4(2). 1145–1153. 15 indexed citations

12.

Dunfield, Nathan M. & William P. Thurston. (2003). The virtual Haken conjecture: Experiments and examples. Geometry & Topology. 7(1). 399–441. 33 indexed citations

13.

Calegari, Danny & Nathan M. Dunfield. (2002). Commensurability of 1-cusped hyperbolic 3-manifolds. Transactions of the American Mathematical Society. 354(7). 2955–2969. 2 indexed citations

14.

Dunfield, Nathan M.. (2001). A table of boundary slopes of Montesinos knots. Topology. 40(2). 309–315. 10 indexed citations

15.

Dunfield, Nathan M.. (2001). Alexander and Thurston norms of fibered 3-manifolds. Pacific Journal of Mathematics. 200(1). 43–58. 13 indexed citations

16.

Dunfield, Nathan M.. (1999). EXAMPLES OF NON-TRIVIAL ROOTS OF UNITY AT IDEAL POINTS OF HYPERBOLIC 3-MANIFOLDS. Topology. 38(2). 457–465. 6 indexed citations

17.

Brown, Nathanial P., et al.. (1994). Colorings of the plane. III. 3(2). 110–114. 1 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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