Michael Usher

529 citations
16 papers · 217 · h-index 9

Impact in

    • Geometric and Algebraic Topology
    • Geometry and complex manifolds
    • Algebraic Geometry and Number Theory
    • Homotopy and Cohomology in Algebraic Topology
    • Mathematical Dynamics and Fractals
    • Advanced Operator Algebra Research

Papers in

    • Geometric and Algebraic Topology 15
    • Algebraic Geometry and Number Theory 3
    • Homotopy and Cohomology in Algebraic Topology 10
    • Advanced Algebra and Geometry 3
    • Advanced Operator Algebra Research 2
    • Mathematical Dynamics and Fractals 2

Michael Usher

15 papers receiving 197 citations

Peers

Michael Usher
Comparison fields: 5 of 29
  • Geometry and Topology 174
  • Mathematical Physics 164
  • Discrete Mathematics and Combinatorics 22
  • Applied Mathematics 43
  • Computational Theory and Mathematics 65
Replace Peter Haı̈ssinsky with:
Peter Haı̈ssinsky France
Francisco Presas Spain
Chris Judge United States
Andrés Sambarino France
Kevin M. Pilgrim United States
Greg McShane France
Stefano Francaviglia Italy
Sérgio R. Fenley United States
Guangcun Lu China
Ara Basmajian United States
Michael Usher relative to Peter Haı̈ssinsky France Peter Haı̈ssinsky's profile →
Citations per field
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Citations per year

Countries citing papers authored by Michael Usher

Since Specialization
Citations

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

Fields of papers citing papers by Michael Usher

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authors

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

All Works

16 of 16 papers shown
#Work
1 200035
2 200828
3 201628
4 201124
5 201022
6 200615
7 200912
8
The Gromov invariant and the Donaldson-Smith standard surface count
200312
9 20098
10 20068
11 20217
12 20207
13 20115
14 20155
15 20141
16 20220

About Michael Usher

Michael Usher is a scholar working on Geometry and Topology, Mathematical Physics, Applied Mathematics, Computational Theory and Mathematics and Discrete Mathematics and Combinatorics, having authored 16 papers that have together received 217 indexed citations. Recurring topics across this work include Geometric and Algebraic Topology (15 papers), Homotopy and Cohomology in Algebraic Topology (10 papers), Geometric Analysis and Curvature Flows (4 papers), Advanced Algebra and Geometry (3 papers), Algebraic Geometry and Number Theory (3 papers), Advanced Operator Algebra Research (2 papers), Mathematical Dynamics and Fractals (2 papers) and Topological and Geometric Data Analysis (2 papers). The work is most often cited by research in Geometry and Topology (174 citations), Mathematical Physics (164 citations), Discrete Mathematics and Combinatorics (22 citations), Applied Mathematics (43 citations) and Computational Theory and Mathematics (65 citations). Michael Usher has collaborated with scholars based in United States and Israel. Frequent co-authors include Robert S. Strichartz, Jun Zhang and Tianjun Li. Their work appears in journals such as Mathematical Research Letters, Bulletin of the London Mathematical Society, Mathematical Proceedings of the Cambridge Philosophical Society, Algebraic & Geometric Topology and Journal of Symplectic Geometry.

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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