A. Vainshtein

Geometry and Topology · with Shapiro · 2000–2014

A researcher in the Science corpus: 10 papers; trusts 8 researchers and is trusted by 43 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 39 citations into it; #388 of 7,422 by trust here, #203 by citations
• Discrete Mathematics and Combinatorics — 20 citations into it; #1,828 of 2,017 by trust here, #1,251 by citations
• Statistical and Nonlinear Physics — 20 citations into it
• Algebra and Number Theory — 17 citations into it; #143 of 2,864 by trust here, #77 by citations
• Mathematical Physics — 14 citations into it; #626 of 8,562 by trust here, #334 by citations
• Computational Theory and Mathematics — 6 citations into it; #4,821 of 12,182 by trust here, #2,761 by citations

Whom A. Vainshtein trusts overall

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

1. Michael I. Gekhtman
2. Andrei Zelevinsky
3. Sergey Fomin
4. Mikhail Kogan
5. Alexander Postnikov
6. Michael Shapiro
7. Max Glick

Who trusts A. Vainshtein overall

1. Sergey Fomin
2. Gregg Musiker
3. Ralf Schiffler
4. Greg Muller
5. Michael I. Gekhtman
6. Bernard Leclerc
7. B. Keller
8. Paul D. Johnson
9. Michael Shapiro
10. Anna Wienhard

Papers from A. Vainshtein's perspective

Ordered by how strongly the researchers A. Vainshtein 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 of Finite Type via Coxeter Elements and Principal Minors
6. Cluster algebras and triangulated surfaces. Part I: Cluster complexes
7. Towards the geometry of double Hurwitz numbers
8. Cluster algebras II: Finite type classification
9. The Laurent Phenomenon (Advances in Applied Mathematics)
10. Cluster algebras I: Foundations

Their papers

• Hurwitz numbers and intersections on moduli spaces of curves (2000) — 389 citations
• Rational functions and real Schubert calculus (2004) — 50 citations
• 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
• Chamber behavior of double Hurwitz numbers in genus 0 (2008) — 51 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
• Restricted permutations and Chebyshev polynomials. (2000) — 56 citations