Lee Rudolph

1.7k total citations
40 papers, 785 citations indexed

About

Lee Rudolph is a scholar working on Geometry and Topology, Mathematical Physics and Computational Theory and Mathematics. According to data from OpenAlex, Lee Rudolph has authored 40 papers receiving a total of 785 indexed citations (citations by other indexed papers that have themselves been cited), including 22 papers in Geometry and Topology, 9 papers in Mathematical Physics and 9 papers in Computational Theory and Mathematics. Recurrent topics in Lee Rudolph's work include Geometric and Algebraic Topology (16 papers), Algebraic Geometry and Number Theory (6 papers) and Robotic Mechanisms and Dynamics (6 papers). Lee Rudolph is often cited by papers focused on Geometric and Algebraic Topology (16 papers), Algebraic Geometry and Number Theory (6 papers) and Robotic Mechanisms and Dynamics (6 papers). Lee Rudolph collaborates with scholars based in United States and Spain. Lee Rudolph's co-authors include Walter D. Neumann, Li Han, Avner Ash, Andrea A. diSessa, Harold Abelson, Claude Weber, Daniel Ménard, Jonathan A. Moran and William W. Menasco and has published in prestigious journals such as The International Journal of Robotics Research, American Journal of Physics and Inventiones mathematicae.

In The Last Decade

Lee Rudolph

38 papers receiving 692 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Lee Rudolph United States	18	615	422	228	120	82	40	785
Heiner Zieschang Germany	19	972 1.6×	713 1.7×	248 1.1×	225 1.9×	148 1.8×	69	1.2k
A. M. Macbeath United Kingdom	14	480 0.8×	309 0.7×	187 0.8×	98 0.8×	199 2.4×	49	755
Kevin Walker United Kingdom	10	209 0.3×	182 0.4×	77 0.3×	24 0.2×	15 0.2×	23	490
Donald A. Norton United States	8	435 0.7×	157 0.4×	59 0.3×	221 1.8×	85 1.0×	14	845
David W. Henderson United States	13	203 0.3×	189 0.4×	13 0.1×	93 0.8×	76 0.9×	27	428
Ilan Vardi United States	11	65 0.1×	60 0.1×	39 0.2×	34 0.3×	94 1.1×	31	368
L. Roth United Kingdom	6	172 0.3×	71 0.2×	18 0.1×	82 0.7×	26 0.3×	18	306
Thomas G. Lucas United States	13	294 0.5×	30 0.1×	28 0.1×	61 0.5×	13 0.2×	73	652
Michel Mendès France France	13	71 0.1×	133 0.3×	62 0.3×	201 1.7×	32 0.4×	39	447
Ernst Snapper United States	10	108 0.2×	35 0.1×	53 0.2×	71 0.6×	28 0.3×	32	294

Countries citing papers authored by Lee Rudolph

Since Specialization

Citations

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

Fields of papers citing papers by Lee Rudolph

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Lee Rudolph

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

All Works

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20 of 20 papers shown

Han, Li, et al.. (2009). Bending and kissing: Computing self-contact configurations of planar loops with revolute joints. Clark Digital Commons (Clark University). 27. 1346–1351. 4 indexed citations

Han, Li & Lee Rudolph. (2006). Inverse Kinematics for a Serial Chain with Joints Under Distance Constraints.. Clark Digital Commons (Clark University). 17 indexed citations

Weber, Claude, et al.. (2002). Morse-Novikov number for knots and links. Archive ouverte UNIGE (University of Geneva). 6 indexed citations

Rudolph, Lee. (2002). A non-ribbon plumbing of fibered ribbon knots. Proceedings of the American Mathematical Society. 130(12). 3741–3743. 1 indexed citations

Rudolph, Lee. (2001). Hopf plumbing, arborescent Seifert surfaces, baskets, espaliers, and homogeneous braids. Topology and its Applications. 116(3). 255–277. 9 indexed citations

Rudolph, Lee. (2001). Quasipositive pretzels☆☆Research partially supported by CNRS and by NSF grant DMS-9504832.. Topology and its Applications. 115(1). 115–123. 7 indexed citations

Rudolph, Lee. (1998). Quasipositive plumbing (constructions of quasipositive knots and links, V). Proceedings of the American Mathematical Society. 126(1). 257–267. 29 indexed citations

Rudolph, Lee. (1997). The slice genus and the Thurston-Bennequin invariant of a knot. Proceedings of the American Mathematical Society. 125(10). 3049–3050. 13 indexed citations

Menasco, William W. & Lee Rudolph. (1995). How Hard Is It to Untie a Knot. American Scientist. 83(1). 38–49. 2 indexed citations

10.

Rudolph, Lee. (1993). Quasipositivity as an obstruction to sliceness. Bulletin of the American Mathematical Society. 29(1). 51–59. 106 indexed citations

11.

Rudolph, Lee. (1990). A congruence between link polynomials. Mathematical Proceedings of the Cambridge Philosophical Society. 107(2). 319–327. 30 indexed citations

12.

Neumann, Walter D. & Lee Rudolph. (1990). Difference index of vectorfields and the enhanced Milnor number. Topology. 29(1). 83–100. 12 indexed citations

13.

Neumann, Walter D. & Lee Rudolph. (1987). Unfoldings in knot theory. Mathematische Annalen. 278(1-4). 409–439. 24 indexed citations

14.

Rudolph, Lee. (1985). Special Positions for Surfaces Bounded by Closed Braids. Revista Matemática Iberoamericana. 1(3). 93–133. 22 indexed citations

15.

Rudolph, Lee. (1983). Algebraic functions and closed braids. Topology. 22(2). 191–202. 60 indexed citations

16.

Rudolph, Lee. (1983). Braided surfaces and seifert ribbons for closed braids. Commentarii Mathematici Helvetici. 58(1). 1–37. 76 indexed citations

17.

Rudolph, Lee. (1982). Embeddings of the line in the plane.. Journal für die reine und angewandte Mathematik (Crelles Journal). 337. 113–118. 13 indexed citations

18.

Rudolph, Lee. (1982). Non-trivial positive braids have positive signature. Topology. 21(3). 325–327. 21 indexed citations

19.

Rudolph, Lee. (1975). A Morse function for a surface in CP3. Topology. 14(4). 301–303. 4 indexed citations

20.

Abelson, Harold, Andrea A. diSessa, & Lee Rudolph. (1975). Velocity space and the geometry of planetary orbits. American Journal of Physics. 43(7). 579–589. 10 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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