Patrick M. Gilmer

822 citations
35 papers · 404 · h-index 12

Impact in

    • Geometric and Algebraic Topology
    • Algebraic structures and combinatorial models
    • Algebraic Geometry and Number Theory
    • Homotopy and Cohomology in Algebraic Topology
    • Advanced Operator Algebra Research
    • Advanced Algebra and Geometry

Papers in

    • Geometric and Algebraic Topology 30
    • Algebraic structures and combinatorial models 11
    • Algebraic Geometry and Number Theory 3
    • Homotopy and Cohomology in Algebraic Topology 25
    • Advanced Operator Algebra Research 2

Patrick M. Gilmer

32 papers receiving 329 citations

Peers

Patrick M. Gilmer
Comparison fields: 5 of 26
  • Geometry and Topology 373
  • Mathematical Physics 315
  • Discrete Mathematics and Combinatorics 67
  • Algebra and Number Theory 24
  • Computational Theory and Mathematics 73
Replace Daniel Ruberman with:
Daniel Ruberman United States
Bert Wiest France
S. Yu. Orevkov Russia
Andrew Nicas Canada
Kent E. Orr United States
José María Montesinos-Amilibia Spain
Yoshiyuki Yokota Japan
Wilbur Whitten United States
Nathan M. Dunfield United States
G. A. Swarup India
Patrick M. Gilmer relative to Daniel Ruberman United States Daniel Ruberman's profile →
Citations per field
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Daniel Ruberman · 1×
Citations per year

Countries citing papers authored by Patrick M. Gilmer

Since Specialization
Citations

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

Fields of papers citing papers by Patrick M. Gilmer

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authors

The 3 scholars most cited alongside Patrick M. Gilmer, 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 Patrick M. Gilmer Line = papers co-authored together Patrick M. Gilmer links everyone, so they are left out of the graph.

All Works

20 of 20 papers shown

Showing the 20 most-cited of 35 papers — load more, or switch the sort, to bring in the rest.

#Work
1 198341
2 198341
3 198140
4 198130
5 199226
6 198124
7 200721
8 199217
9 199317
10 200416
11 198216
12 199312
13 198411
14 199910
15 199710
16 199210
17
Maslov index, lagrangians, mapping class groups and TQFT
20169
18 20018
19 20116
20 19865

About Patrick M. Gilmer

Patrick M. Gilmer is a scholar working on Geometry and Topology, Mathematical Physics, Discrete Mathematics and Combinatorics, Computational Theory and Mathematics and Computer Graphics and Computer-Aided Design, having authored 35 papers that have together received 404 indexed citations. Recurring topics across this work include Geometric and Algebraic Topology (30 papers), Homotopy and Cohomology in Algebraic Topology (25 papers), Algebraic structures and combinatorial models (11 papers), Advanced Combinatorial Mathematics (7 papers), Topological and Geometric Data Analysis (4 papers), Computational Geometry and Mesh Generation (3 papers), Algebraic Geometry and Number Theory (3 papers) and Advanced Operator Algebra Research (2 papers). The work is most often cited by research in Geometry and Topology (373 citations), Mathematical Physics (315 citations), Discrete Mathematics and Combinatorics (67 citations), Algebra and Number Theory (24 citations) and Computational Theory and Mathematics (73 citations). Patrick M. Gilmer has collaborated with scholars based in United States and France. Frequent co-authors include Charles Livingston, Gregor Masbaum and R. A. Litherland. Their work appears in journals such as Pacific Journal of Mathematics, Proceedings of the American Mathematical Society, Inventiones mathematicae, Topology and Transactions 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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