Profile The profile is based on mining the text of the experts' scientific documents to create an index of weighted terms, which defines the key subjects of each individual researcher.

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Cluster algebra Mathematics
Polynomial Mathematics
energy Physics & Astronomy
Siméon Denis Poisson Mathematics
Poisson bracket Mathematics
quantum computation Physics & Astronomy
Genus Mathematics
Cell Mathematics

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Grants 2004 2020

Publications 1995 2017

  • 12 h-Index
  • 44 Article
  • 3 Conference contribution

Introduction: Exotic cluster structures on SLn: The cremmer-gervais case

Gekhtman, M., Shapiro, M. & Vainshtein, A. Mar 1 2017 In : Memoirs of the American Mathematical Society. 246, 1165, p. 1-106 106 p.

Research output: Contribution to journalArticle

Siméon Denis Poisson
Lie groups
Ring
Series
life (durability)
formulations
energy
disorders
bandwidth

Generalized cluster structure on the Drinfeld double of GLn

Gekhtman, M., Shapiro, M. & Vainshtein, A. Apr 1 2016 In : Comptes Rendus Mathematique. 354, 4, p. 345-349 5 p.

Research output: Contribution to journalArticle

Poisson bracket
Poisson-Lie groups
Lie brackets
5 Citations

Cremmer-Gervais cluster structure on SLn

Gekhtman, M., Shapiro, M. & Vainshtein, A. Jul 8 2014 In : Proceedings of the National Academy of Sciences of the United States of America. 111, 27, p. 9688-9695 8 p.

Research output: Contribution to journalArticle

Siméon Denis Poisson
Cluster algebra
Totally positive matrices
Locus
Ring
2 Citations

Integrable cluster dynamics of directed networks and pentagram maps

Gekhtman, M., Shapiro, M., Tabachnikov, S. & Vainshtein, A. Jun 9 2014 In : Advances in Mathematics.

Research output: Contribution to journalArticle

Pentagram
Directed network
Poisson geometry
Complete integrability
Toda lattice