Michael Gekhtman
Professor
Ph.D., Ukrainian Academy of Sciences, 1990
Email: Michael.Gekhtman.1@nd.edu
Office: 128 Hayes-Healy Bldg
Phone: (574) 631-7131
Fax: (574) 631-6579
Mailing Address:
255 Hurley Bldg
Notre Dame, IN 46556-4618
Research Interests
Integrable systems, Poisson geometry, cluster algebras, inverse problems.
Selected Publications
- M. Gekhtman, M. Shapiro and A. Vainshtein, Drinfeld double of GL(n) and generalized cluster structures, Proc. Lond. Math. Soc. (3) 116 (2018), no. 3, 429–484.
- M. Gekhtman, M. Shapiro and A. Vainshtein, Exotic cluster structures on SLn: the Cremmer-Gervais case, Mem. Amer. Math. Soc. 246 (2017), no. 1165.
- M. Gekhtman, M. Shapiro, A. Vainshtein and S. Tabachnikov, Integrable cluster dynamics of directed networks and pentagram maps, Adv. Math. 300 (2016), 390–450.
- M. Gekhtman, M. Shapiro and A. Vainshtein, Poisson geometry of directed networks in an annulus, J. Eur. Math. Soc. (JEMS) 14 (2012), no. 2, 541–570.
- M. Gekhtman, M. Shapiro and A. Vainshtein, Generalized Backlund-Darboux transformations for Coxeter-Toda flows from cluster algebra perspective, Acta Math. (2011) 206, 245--310.
- M. Gekhtman, M. Shapiro and A. Vainshtein, Cluster algebras and Poisson geometry, AMS Surveys and Monographs 167 (2010).
- 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.
If you have access to MathSciNet you can see a complete list of publications.
Please direct questions and comments to: Michael.Gekhtman.1@nd.edu
