Michael Usher

Geometry and Topology · 2006–2015

A researcher in the Science corpus: 7 papers; trusts 38 researchers and is trusted by 17 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 70 citations into it; #672 of 7,422 by trust here, #1,410 by citations
• Mathematical Physics — 52 citations into it; #1,000 of 8,562 by trust here, #2,288 by citations
• Computational Theory and Mathematics — 22 citations into it; #7,016 of 12,182 by trust here, #10,901 by citations
• Discrete Mathematics and Combinatorics — 10 citations into it
• Applied Mathematics — 8 citations into it; #2,726 of 7,620 by trust here, #3,589 by citations
• Computer Graphics and Computer-Aided Design — 6 citations into it
• Algebra and Number Theory — 5 citations into it
• Computational Mechanics — 5 citations into it

Whom Michael Usher trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Yong-Geun Oh
2. M. Schwarz
3. Dietmar Salamon
4. Michael Entov
5. D. Mcduff
6. Urs Frauenfelder
7. L. Polterovich
8. Guangcun Lu
9. H. Iritani
10. Arend Bayer

Who trusts Michael Usher overall

1. A. Kislev
2. E. Shelukhin
3. L. Polterovich
4. Vincent Humilière
5. Yong-Geun Oh
6. K. Fukaya
7. Jun Zhang
8. Michael Entov
9. V. Ginzburg
10. Vukavsin Stojisavljevi'c

Papers from Michael Usher's perspective

Ordered by how strongly the researchers Michael Usher trusts endorse each paper. Same corpus, a different order for every researcher.

1. On the action spectrum for closed symplectically aspherical manifolds Pacific J
2. Calabi quasimorphism and quantum homology
3. Rigid subsets of symplectic manifolds (Compositio Mathematica)
4. Lectures on Floer homology
5. Chain level Floer theory and Hofer's geometry of the Hamiltonian diffeomorphism group
6. Spectral numbers in Floer theories (Compositio Mathematica)
7. Embedding Problems in Symplectic Geometry
8. Stability of Persistence Diagrams (Discrete & Computational Geometry)
9. Semisimple Quantum Cohomology and Blow-ups
10. Introduction to Symplectic Field Theory

Their papers

• Persistent homology and Floer-Novikov theory (2015) — 115 citations
• Hofer's metrics and boundary depth (2011) — 63 citations
• Deformed Hamiltonian Floer theory, capacity estimates and Calabi quasimorphisms (2010) — 51 citations
• Boundary depth in Floer theory and its applications to Hamiltonian dynamics and coisotropic submanifolds (2009) — 67 citations
• THE SHARP ENERGY-CAPACITY INEQUALITY (2008) — 55 citations
• Spectral numbers in Floer theories (2007) — 79 citations
• Minimality and symplectic sums (2006) — 98 citations