Michael I. Gekhtman

Geometry and Topology · 2002–2014

A researcher in the Science corpus: 6 papers; trusts 8 researchers and is trusted by 32 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 34 citations into it; #510 of 7,422 by trust here, #328 by citations
• Statistical and Nonlinear Physics — 19 citations into it
• Discrete Mathematics and Combinatorics — 18 citations into it
• Algebra and Number Theory — 16 citations into it; #149 of 2,864 by trust here, #82 by citations
• Mathematical Physics — 12 citations into it; #627 of 8,562 by trust here, #334 by citations
• Computational Theory and Mathematics — 6 citations into it

Whom Michael I. Gekhtman trusts overall

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

1. Andrei Zelevinsky
2. Mikhail Kogan
3. Sergey Fomin
4. Alexander Postnikov
5. Michael Shapiro
6. Max Glick
7. A. Vainshtein
8. Richard Evan Schwartz
9. Valentin Ovsienko
10. A. Goncharov

Who trusts Michael I. Gekhtman overall

1. Sergey Fomin
2. Gregg Musiker
3. Ralf Schiffler
4. Greg Muller
5. Bernard Leclerc
6. B. Keller
7. Anna Wienhard
8. Michael Shapiro
9. Andrei Zelevinsky
10. M. Kontsevich

Papers from Michael I. Gekhtman's perspective

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

1. Total positivity, Grassmannians, and networks
2. On symplectic leaves and integrable systems in standard complex semisimple Poisson-Lie groups
3. Cluster algebras: Notes for the CDM-03 conference
4. Five-diagonal matrices and zeros of orthogonal polynomials on the unit circle
5. Cluster algebras and triangulated surfaces. Part I: Cluster complexes
6. Cluster Algebras of Finite Type via Coxeter Elements and Principal Minors
7. Cluster algebras II: Finite type classification
8. The Laurent Phenomenon (Advances in Applied Mathematics)
9. Cluster algebras I: Foundations
10. Grassmannians and Cluster Algebras

Their papers

• INTEGRABLE CLUSTER DYNAMICS OF DIRECTED NETWORKS AND PENTAGRAM MAPS (2014) — 54 citations
• Higher pentagram maps, weighted directed networks, and cluster dynamics (2011) — 53 citations
• Generalized Bäcklund–Darboux transformations for Coxeter–Toda flows from a cluster algebra perspective (2009) — 49 citations
• On the properties of the exchange graph of a cluster algebra (2007) — 59 citations
• Cluster algebras and Weil-Petersson forms (2003) — 212 citations
• Cluster Algebras and Poisson Geometry (2002) — 438 citations