Michael Usher

514 total citations
16 papers, 201 citations indexed

About

Michael Usher is a scholar working on Geometry and Topology, Mathematical Physics and Applied Mathematics. According to data from OpenAlex, Michael Usher has authored 16 papers receiving a total of 201 indexed citations (citations by other indexed papers that have themselves been cited), including 15 papers in Geometry and Topology, 14 papers in Mathematical Physics and 4 papers in Applied Mathematics. Recurrent topics in Michael Usher's work include Geometric and Algebraic Topology (15 papers), Homotopy and Cohomology in Algebraic Topology (10 papers) and Geometric Analysis and Curvature Flows (4 papers). Michael Usher is often cited by papers focused on Geometric and Algebraic Topology (15 papers), Homotopy and Cohomology in Algebraic Topology (10 papers) and Geometric Analysis and Curvature Flows (4 papers). Michael Usher collaborates with scholars based in United States and Israel. Michael Usher's co-authors include Robert S. Strichartz, Jun Zhang and Tianjun Li and has published in prestigious journals such as Bulletin of the London Mathematical Society, Mathematical Proceedings of the Cambridge Philosophical Society and Israel Journal of Mathematics.

In The Last Decade

Michael Usher

15 papers receiving 186 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Michael Usher United States 8 165 151 59 39 20 16 201
Jarod Alper United States 8 234 1.4× 156 1.0× 29 0.5× 24 0.6× 12 0.6× 19 245
Christophe Pittet France 9 125 0.8× 162 1.1× 70 1.2× 39 1.0× 19 0.9× 18 210
F. Paulin France 7 202 1.2× 177 1.2× 43 0.7× 62 1.6× 31 1.6× 9 224
Dirk Siersma Netherlands 7 130 0.8× 62 0.4× 29 0.5× 28 0.7× 19 0.9× 15 161
Peter Haı̈ssinsky France 8 154 0.9× 153 1.0× 26 0.4× 65 1.7× 12 0.6× 24 190
Michael Entov Israel 7 269 1.6× 219 1.5× 25 0.4× 56 1.4× 26 1.3× 14 304
Kevin M. Pilgrim United States 9 141 0.9× 163 1.1× 50 0.8× 41 1.1× 12 0.6× 32 186
Ara Basmajian United States 8 223 1.4× 117 0.8× 21 0.4× 115 2.9× 20 1.0× 26 235
Kiumars Kaveh United States 5 200 1.2× 90 0.6× 52 0.9× 37 0.9× 50 2.5× 19 226
Jörg Schürmann Germany 9 210 1.3× 154 1.0× 30 0.5× 24 0.6× 51 2.5× 24 235

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-authorship network of co-authors of Michael Usher

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

All Works

16 of 16 papers shown
1.
Usher, Michael. (2022). Local rigidity, symplectic homeomorphisms, and coisotropic submanifolds. Bulletin of the London Mathematical Society. 54(1). 45–53.
2.
Usher, Michael. (2021). Local rigidity, contact homeomorphisms, and conformal factors. Mathematical Research Letters. 28(6). 1875–1939. 6 indexed citations
3.
Usher, Michael. (2020). Symplectic Banach–Mazur distances between subsets of ℂn. Journal of Topology and Analysis. 14(1). 231–286. 6 indexed citations
4.
Usher, Michael & Jun Zhang. (2016). Persistent homology and Floer–Novikov theory. Geometry & Topology. 20(6). 3333–3430. 26 indexed citations
5.
Usher, Michael. (2015). Observations on the Hofer distance between closed subsets. Mathematical Research Letters. 22(6). 1805–1820. 5 indexed citations
6.
Usher, Michael. (2014). Linking and the Morse complex. Annales de la faculté des sciences de Toulouse Mathématiques. 23(1). 25–94. 1 indexed citations
7.
Usher, Michael. (2011). Boundary depth in Floer theory and its applications to Hamiltonian dynamics and coisotropic submanifolds. Israel Journal of Mathematics. 184(1). 1–57. 24 indexed citations
8.
Usher, Michael, et al.. (2011). Low-dimensional and Symplectic Topology. 5 indexed citations
9.
Usher, Michael. (2010). THE SHARP ENERGY-CAPACITY INEQUALITY. Communications in Contemporary Mathematics. 12(3). 457–473. 21 indexed citations
10.
Usher, Michael. (2009). Kodaira dimension and symplectic sums. Commentarii Mathematici Helvetici. 84(1). 57–85. 7 indexed citations
11.
Usher, Michael. (2009). Floer homology in disk bundles and symplectically twisted geodesic flows. Journal of Modern Dynamics. 3(1). 61–101. 12 indexed citations
12.
Usher, Michael. (2008). Spectral numbers in Floer theories. Compositio Mathematica. 144(6). 1581–1592. 27 indexed citations
13.
Usher, Michael. (2006). Vortices and a TQFT for Lefschetz fibrations on 4–manifolds. Algebraic & Geometric Topology. 6(4). 1677–1743. 7 indexed citations
14.
Li, Tianjun & Michael Usher. (2006). Symplectic forms and surfaces of negative square. Journal of Symplectic Geometry. 4(1). 71–91. 15 indexed citations
15.
Usher, Michael, et al.. (2004). The Gromov invariant and the Donaldson{Smith standard surface count. 9 indexed citations
16.
Strichartz, Robert S. & Michael Usher. (2000). Splines on fractals. Mathematical Proceedings of the Cambridge Philosophical Society. 129(2). 331–360. 30 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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