Robert Penner

3.5k citations
98 papers · 2.1k · h-index 21

Impact in

    • Geometric and Algebraic Topology
    • Algebraic structures and combinatorial models
    • Algebraic Geometry and Number Theory
    • Mathematical Dynamics and Fractals
    • Homotopy and Cohomology in Algebraic Topology

Papers in

    • Geometric and Algebraic Topology 59
    • Algebraic Geometry and Number Theory 9
    • Homotopy and Cohomology in Algebraic Topology 16
    • Mathematical Dynamics and Fractals 7

Robert Penner

92 papers receiving 2k citations

Peers

Robert Penner
Comparison fields: 5 of 47
  • Geometry and Topology 1.4k
  • Mathematical Physics 458
  • Discrete Mathematics and Combinatorics 154
  • Nuclear and High Energy Physics 215
  • Statistics and Probability 111
Replace Karen Vogtmann with:
Karen Vogtmann United States
W. B. R. Lickorish United Kingdom
Stanislav K. Smirnov Switzerland
Yuri I. Manin Germany
Miles Anthony Reid United Kingdom
Dale Rolfsen Canada
Wendelin Werner France
I. P. Goulden Canada
David N. Yetter United States
Gordon Slade Canada
Robert Penner relative to Karen Vogtmann United States Karen Vogtmann's profile →
Citations per field
00.5×2×4×6×7.7×
Karen Vogtmann · 1×
Citations per year

Countries citing papers authored by Robert Penner

Since Specialization
Citations

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

Fields of papers citing papers by Robert Penner

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authors

The 25 scholars most cited alongside Robert Penner, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with Robert Penner Line = papers co-authored together Robert Penner links everyone, so they are left out of the graph.

All Works

20 of 20 papers shown

Showing the 20 most-cited of 98 papers — load more, or switch the sort, to bring in the rest.

#Work
1 1987267
2
Combinatorics of Train Tracks.
1991231
3 1988213
4 1992162
5 1988140
6 198891
7 201171
8 199268
9 201161
10 199357
11 199154
12 199345
13 198638
14 201037
15 200432
16 198731
17 201231
18 200326
19 200626
20 201226

About Robert Penner

Robert Penner is a scholar working on Geometry and Topology, Mathematical Physics, Discrete Mathematics and Combinatorics, Molecular Biology and Computational Theory and Mathematics, having authored 98 papers that have together received 2.1k indexed citations. Recurring topics across this work include Geometric and Algebraic Topology (59 papers), Homotopy and Cohomology in Algebraic Topology (16 papers), Algebraic Geometry and Number Theory (9 papers), Mathematical Dynamics and Fractals (7 papers), Protein Structure and Dynamics (7 papers), RNA and protein synthesis mechanisms (6 papers), Advanced Combinatorial Mathematics (6 papers) and Black Holes and Theoretical Physics (4 papers). The work is most often cited by research in Geometry and Topology (1.4k citations), Mathematical Physics (458 citations), Discrete Mathematics and Combinatorics (154 citations), Nuclear and High Energy Physics (215 citations) and Statistics and Probability (111 citations). Robert Penner has collaborated with scholars based in United States, France and Denmark. Frequent co-authors include John Harer, D. B. A. Epstein, Jørgen Ellegaard Andersen, Athanase Papadopoulos, Michael S. Waterman, Christian M. Reidys, Ralph M. Kaufmann, Leonid Olegovich Chekhov, Fenix W. D. Huang and Shing–Tung Yau. Their work appears in journals such as Lecture notes in mathematics, Advances in Mathematics, Journal of Differential Geometry, Journal of Computational Biology and Proceedings of the American Mathematical Society.

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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