For additional information see Michael Gekhtman's Personal Page.
Research Interests
Integrable systems, Poisson geometry, cluster algebras, inverse problems.
Selected Publications
- M. Gekhtman, M. Shapiro and A. Vainshtein, Poisson Geometry of Directed Networks in a Disk, Selecta Math. 15 (2009), no. 1, pp. 61-103,.
- M. Gekhtman and I. Nenciu, Multi-Hamiltonian structures for the defocusing Ablowitz-Ladik equation, Comm. Pur. Appl. Math. 62 (2009), 147--182.
- M. Gekhtman, M. Bertola and J. Szmiegielsky, The Cauchy two-matrix model,
Comm. Math. Phys. 287 (2009), 983--1014.
- M. Gekhtman, M. Shapiro and A. Vainshtein, Cluster algebras and and Weil-Petersson forms, Duke Math. J. 127 (2005), 291--311.
- M. Gekhtman, M. Shapiro and A. Vainshtein, Cluster algebras and Poisson geometry,
Moscow Math. Journal 3 (2003), 899--934.
Please direct questions and comments to: Michael.Gekhtman.1@nd.edu
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