Michael Gekhtman

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Jacek SzmigielskiProfessor of Mathematics, University of SaskatatchewanVerified email at math.usask.ca
leonid faybusovichProfessor of Mathematics, University of Notre DameVerified email at nd.edu
Shaun FallatUniversity of ReginaVerified email at uregina.ca
Serge TabachnikovProfessor of Mathematics, Penn StateVerified email at math.psu.edu
Anthony BlochUniversity of MIchiganVerified email at umich.edu
Yurij M. BerezanskyInstitute of Mathematics, NAS of UkraineVerified email at imath.kiev.ua
Michael ShmoishHead of the BKU, Technion - Israel Institute of TechnologyVerified email at cs.technion.ac.il
Alexander Kalyuzhnyi, Олександр Ка...Institute of Mathematics NAS of Ukraine, NTTU KPIVerified email at imath.kiev.ua
Alexander StolinProfessor of Mathematics, Chalmers and University of GothenburgVerified email at gu.se
Irina NenciuUniversity of Illinois at ChicagoVerified email at uic.edu
Dylan RupelMathAcademy, Pasadena, CAVerified email at pusd.us
Allen HermanProfessor of Mathematics, University of ReginaVerified email at math.uregina.ca
Mark AlberDistinguished Professor of Mathematics, University of California, RiversideVerified email at ucr.edu
Milen YakimovProfessor of Mathematics, Northeastern UniversityVerified email at northeastern.edu

Michael Gekhtman

Professor of Mathematics, University of Notre Dame

Verified email at nd.edu

cluster algebras integrable systems inverse problems orthogonal polynomials


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Cluster algebras and Poisson geometry M Gekhtman, M Shapiro, A Vainshtein arXiv preprint math/0208033, 2002	294	2002
Cluster algebras and Poisson geometry M Gekhtman, M Shapiro, A Vainshtein American Mathematical Soc., 2010	241	2010
Cluster algebras and Weil-Petersson forms M Gekhtman, M Shapiro, A Vainshtein	211	2005
Cauchy biorthogonal polynomials M Bertola, M Gekhtman, J Szmigielski Journal of Approximation Theory 162 (4), 832-867, 2010	70	2010
The Cauchy two-matrix model M Bertola, M Gekhtman, J Szmigielski Communications in Mathematical Physics 287 (3), 983-1014, 2009	69	2009
Integrable cluster dynamics of directed networks and pentagram maps M Gekhtman, M Shapiro, S Tabachnikov, A Vainshtein Advances in Mathematics 300, 390-450, 2016	62	2016
Cauchy–Laguerre two-matrix model and the Meijer-G random point field M Bertola, M Gekhtman, J Szmigielski Communications in Mathematical Physics 326, 111-144, 2014	62	2014
Generalized Bäcklund–Darboux transformations for Coxeter–Toda flows from a cluster algebra perspective M Gekhtman, M Shapiro, A Vainshtein	60	2011
Poisson brackets on rational functions and multi-Hamiltonian structure for integrable lattices L Faybusovich, M Gekhtman Physics Letters A 272 (4), 236-244, 2000	58	2000
On the properties of the exchange graph of a cluster algebra M Gekhtman, M Shapiro, A Vainshtein arXiv preprint math/0703151, 2007	55	2007
Poisson geometry of directed networks in an annulus M Gekhtman, M Shapiro, A Vainshtein Journal of the European Mathematical Society 14 (2), 541-570, 2012	53	2012
Higher pentagram maps, weighted directed networks, and cluster dynamics M Gekhtman, M Shapiro, S Tabachnikov, A Vainshtein arXiv preprint arXiv:1110.0472, 2011	52	2011
Elementary Toda orbits and integrable lattices L Faybusovich, M Gekhtman Journal of Mathematical Physics 41 (5), 2905-2921, 2000	52	2000
Non-commutative and commutative integrability of generic Toda flows in simple Lie algebras M Gekhtman, M Shapiro arXiv preprint solv-int/9704011, 1997	52	1997
Poisson geometry of directed networks in a disk M Gekhtman, M Shapiro, A Vainshtein Selecta Mathematica 15, 61-103, 2009	45	2009
On schur flows L Faybusovich, M Gekhtman Journal of Physics A: Mathematical and General 32 (25), 4671, 1999	43	1999
Separation of variables in the classical magnetic chain MI Gekhtman	38	1995
Inverse problem of the spectral analysis and non-Abelian chains of nonlinear equations YM Berezanskii, MI Gekhtman Ukrainian Mathematical Journal 42 (6), 645-658, 1990	38	1990
Solitons and almost-intertwining matrices A Kasman, M Gekhtman Journal of Mathematical Physics 42 (8), 3540-3551, 2001	32	2001
Integration of some chains of nonlinear difference equations by the method of the inverse spectral problem YM Berezanskii, MI Gekhtman, ME Shmoish Ukrainian Mathematical Journal 38 (1), 74-78, 1986	32	1986

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