Marc Culler

3.4k total citations
36 papers, 1.6k citations indexed

About

Marc Culler is a scholar working on Geometry and Topology, Mathematical Physics and Applied Mathematics. According to data from OpenAlex, Marc Culler has authored 36 papers receiving a total of 1.6k indexed citations (citations by other indexed papers that have themselves been cited), including 33 papers in Geometry and Topology, 26 papers in Mathematical Physics and 10 papers in Applied Mathematics. Recurrent topics in Marc Culler's work include Geometric and Algebraic Topology (30 papers), Homotopy and Cohomology in Algebraic Topology (17 papers) and Mathematical Dynamics and Fractals (14 papers). Marc Culler is often cited by papers focused on Geometric and Algebraic Topology (30 papers), Homotopy and Cohomology in Algebraic Topology (17 papers) and Mathematical Dynamics and Fractals (14 papers). Marc Culler collaborates with scholars based in United States, Canada and Australia. Marc Culler's co-authors include Peter B. Shalen, Karen Vogtmann, John Luecke, John W. Morgan, D. Cooper, Henri Gillet, D. D. Long, Hyam Rubinstein, Richard D. Canary and William Jaco and has published in prestigious journals such as Annals of Mathematics, Transactions of the American Mathematical Society and Inventiones mathematicae.

In The Last Decade

Marc Culler

35 papers receiving 1.4k citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Marc Culler United States	16	1.6k	1.2k	465	280	217	36	1.6k
Peter B. Shalen United States	20	1.9k 1.2×	1.5k 1.2×	508 1.1×	351 1.3×	356 1.6×	61	2.0k
David Gabai United States	20	1.8k 1.2×	1.4k 1.1×	517 1.1×	341 1.2×	365 1.7×	46	1.9k
Robert E. Gompf United States	16	1.5k 0.9×	1.2k 1.0×	365 0.8×	185 0.7×	231 1.1×	42	1.6k
Kunio Murasugi Canada	22	1.4k 0.9×	839 0.7×	640 1.4×	449 1.6×	81 0.4×	72	1.6k
Jerome Levine United States	20	1.3k 0.8×	1.0k 0.8×	211 0.5×	201 0.7×	139 0.6×	52	1.4k
Yakov Eliashberg United States	20	1.6k 1.0×	1.1k 0.9×	236 0.5×	198 0.7×	552 2.5×	51	1.7k
András I. Stipsicz Hungary	17	1.2k 0.8×	916 0.7×	365 0.8×	156 0.6×	193 0.9×	67	1.3k
Martin Scharlemann United States	18	947 0.6×	642 0.5×	300 0.6×	246 0.9×	101 0.5×	69	1.0k
Alan W. Reid United States	18	1.1k 0.7×	859 0.7×	308 0.7×	148 0.5×	173 0.8×	89	1.1k
William Jaco United States	17	1.3k 0.8×	883 0.7×	369 0.8×	289 1.0×	239 1.1×	44	1.4k

Countries citing papers authored by Marc Culler

Since Specialization

Citations

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

Fields of papers citing papers by Marc Culler

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Marc Culler. 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 Culler. The network helps show where Marc Culler may publish in the future.

Co-authorship network of co-authors of Marc Culler

This figure shows the co-authorship network connecting the top 25 collaborators of Marc Culler. A scholar is included among the top collaborators of Marc Culler 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 Culler. Marc Culler 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

Culler, Marc & Peter B. Shalen. (2012). 4-free groups and hyperbolic geometry. Figshare. 3 indexed citations

Culler, Marc & Peter B. Shalen. (2011). Margulis numbers for Haken manifolds. Israel Journal of Mathematics. 190(1). 445–475. 6 indexed citations

Agol, Ian, Marc Culler, & Peter B. Shalen. (2010). Singular surfaces, mod 2 homology, and hyperbolic volume, I. Transactions of the American Mathematical Society. 362(7). 3463–3498. 4 indexed citations

Culler, Marc, et al.. (2008). Characteristic subsurfaces, character varieties and Dehn fillings. Geometry & Topology. 12(1). 233–297. 5 indexed citations

Agol, Ian, Marc Culler, & Peter B. Shalen. (2006). Dehn surgery, homology and hyperbolic volume. Algebraic & Geometric Topology. 6(5). 2297–2312. 10 indexed citations

Culler, Marc, et al.. (2004). Characteristic subsurfaces and Dehn filling. Transactions of the American Mathematical Society. 357(6). 2389–2444. 5 indexed citations

Canary, Richard D., Marc Culler, Sa’ar Hersonsky, & Peter B. Shalen. (2003). Approximation by Maximal Cusps in Boundaries of Deformation Spaces of Kleinian Groups. Journal of Differential Geometry. 64(1). 15 indexed citations

Culler, Marc & Peter B. Shalen. (1999). Boundary slopes of knots. Commentarii Mathematici Helvetici. 74(4). 530–547. 3 indexed citations

Culler, Marc, Sa’ar Hersonsky, & Peter B. Shalen. (1998). The first betti number of the smallest closed hyperbolic 3-manifold. Topology. 37(4). 805–849. 5 indexed citations

10.

Anderson, James W., Richard D. Canary, Marc Culler, & Peter B. Shalen. (1996). Free Kleinian groups and volumes of hyperbolic {3}-manifolds. Journal of Differential Geometry. 43(4). 36 indexed citations

11.

Culler, Marc & Peter B. Shalen. (1994). The Volume of a Hyperbolic 3-Manifold with Betti Number 2. Proceedings of the American Mathematical Society. 120(4). 1281–1281. 7 indexed citations

12.

Culler, Marc & Peter B. Shalen. (1992). Paradoxical decompositions, 2-generator Kleinian groups, and volumes of hyperbolic 3-manifolds. Journal of the American Mathematical Society. 5(2). 231–288. 32 indexed citations

13.

Culler, Marc, C. McA. Gordon, John Luecke, & Peter B. Shalen. (1988). Correction to: "Dehn Surgery on Knots". Annals of Mathematics. 127(3). 663–663. 8 indexed citations

14.

Culler, Marc, et al.. (1987). Dehn Surgery on Knots. Annals of Mathematics. 125(2). 237–237. 348 indexed citations

15.

Culler, Marc. (1986). Lifting representations to covering groups. Advances in Mathematics. 59(1). 64–70. 59 indexed citations

16.

Culler, Marc & Karen Vogtmann. (1986). Moduli of graphs and automorphisms of free groups. Inventiones mathematicae. 84(1). 91–119. 231 indexed citations

17.

Culler, Marc & Peter B. Shalen. (1983). Varieties of Group Representations and Splittings of 3-Manifolds. Annals of Mathematics. 117(1). 109–109. 322 indexed citations

18.

Culler, Marc. (1981). Using surfaces to solve equations in free groups. Topology. 20(2). 133–145. 52 indexed citations

19.

Culler, Marc. (1978). Shorter Notes: Homology Equivalent Finite Groups are Isomorphic. Proceedings of the American Mathematical Society. 72(1). 218–218. 1 indexed citations

20.

Culler, Marc. (1978). Homology equivalent finite groups are isomorphic. Proceedings of the American Mathematical Society. 72(1). 218–220. 2 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.

Explore authors with similar magnitude of impact