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Michael Gekhtman

Professor

Ph.D., Ukrainian Academy of Sciences, 1990

Email: Michael.Gekhtman.1@nd.edu
Office: 128 Hayes-Healy
Phone: (574) 631-7131
Fax: (574) 631-6579
Michael Gekhtman

For additional information see Michael Gekhtman's Personal Page.

Research Interests

Mathematical physics, Hamiltonian mechanics, integrable systems and Poisson geometry.

Selected Publications

  • L. Faybusovich and M. Gekhtman. Elementary Toda orbits and integrable lattices. J. Math. Phys., 41:2905-2921, 2000.
  • M. Gekhtman and M. Shapiro. Non-commutative and commutative integrability of generic Toda flows in simple Lie algebras. Comm. Pure & Appl. Math., 52:53-84, 1999.
  • A. Bloch and M. Gekhtman. Hamiltonian and Gradient Structures in the Toda Flows Journ. of Geom. & Phys., 27:230-248,1998.
  • M. Gekhtman. Hamiltonian structure of nonabelian Toda Lattice. Lett. Math. Phys., 46:189-205, 1998.
  • M. Gekhtman and M. Shapiro. Completeness of real Toda flows and totally positive matrices. Math. Zeit., 226:51-66, 1997.

Please direct questions and comments to: Michael.Gekhtman.1@nd.edu

 

 

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Phone: 574-631-7245 • FAX: 574-631-6579
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Last modified: Wednesday, September 5, 2007