Michael Shapiro

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Michael GekhtmanProfessor of Mathematics, University of Notre DameVerified email at nd.edu
Boris Shapiroprofessor i matematik, Stockholms UniversitetVerified email at math.su.se
Mark DykmanProfessor of Physics, Michigan State UniversityVerified email at msu.edu
Lando SergeiProfessor of Mathematics, Higher School of Economics, Skolkovo Institute of Science and TechnologyVerified email at hse.ru
Sergey FominProfessor of Mathematics, University of MichiganVerified email at umich.edu
Dylan ThurstonProfessor, Indiana University at BloomingtonVerified email at indiana.edu
Lea F. SantosUniversity of Connecticut (UCONN), Department of PhysicsVerified email at uconn.edu
Felix IzrailevInstituto de Fisica, BUAP (Mexico)Verified email at sirio.ifuap.buap.mx
Serge TabachnikovProfessor of Mathematics, Penn StateVerified email at math.psu.edu
Sergey ShadrinKdVI UvAVerified email at uva.nl
Alexandre EremenkoPurdue UniversityVerified email at math.purdue.edu
Andrei GabrielovProfessor of Mathematics and Geophysics, Purdue UniversityVerified email at math.purdue.edu
Ira B. SchwartzNaval Research Laboratory and University of MarylandVerified email at nrl.navy.mil
Dmitrii (Dima) PasechnikComputer Science, OxfordVerified email at cs.ox.ac.uk
Hugh ThomasProfessor of Mathematics, UQAMVerified email at uqam.ca
Andrei ZelevinskyProfessor of Mathematics, Northeastern UniversityVerified email at neu.edu
Alex DegtyarevBilkentVerified email at fen.bilkent.edu.tr
Yurii BurmanFaculty of Mathematics, National Research University Higher School of EconomicsVerified email at hse.ru
Peter YuditskiiInstitute for Analysis, Johannes Kepler Universität LinzVerified email at jku.at
Brüstle, ThomasProfessor of Mathematics, Université de Sherbrooke and Bishop's UniversityVerified email at ubishops.ca

Michael Shapiro

Professor of Mathematics, Michigan State University

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mathematics


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Cluster algebras and triangulated surfaces. Part I: Cluster complexes S Fomin, M Shapiro, D Thurston Acta Mathematica 201 (1), 83-146, 2008	831	2008
Cluster algebras and Poisson geometry M Gekhtman, M Shapiro, A Vainshtein American Mathematical Soc., 2010	462*	2010
Hurwitz numbers and intersections on moduli spaces of curves T Ekedahl, S Lando, M Shapiro, A Vainshtein Inventiones Mathematicae 146 (2), 297-327, 2001	411	2001
Cluster algebras and Poisson geometry M Gekhtman, MZ Shapiro, AD Vainshtein Moscow Mathematical Journal 3 (3), 899-934, 2003	292	2003
Cluster algebras and Weil-Petersson forms M Gekhtman, M Shapiro, A Vainshtein Duke Mathematical Journal 127 (2), 291-311, 2005	211	2005
Skew-symmetric cluster algebras of finite mutation type A Felikson, M Shapiro, P Tumarkin Journal of the European Mathematical Society 14 (4), 1135-1180, 2012	163*	2012
On Hurwitz numbers and Hodge integrals T Ekedahl, S Lando, M Shapiro, A Vainshtein Comptes Rendus de l'Académie des Sciences-Series I-Mathematics 328 (12 …, 1999	118	1999
Cluster algebras of finite mutation type via unfoldings A Felikson, M Shapiro, P Tumarkin International Mathematics Research Notices 2012 (8), 1768-1804, 2012	90	2012
Cluster algebras of finite mutation type via unfoldings A Felikson, M Shapiro, P Tumarkin International Mathematics Research Notices 2012 (8), 1768-1804, 2012	90	2012
Teichmüller spaces of Riemann surfaces with orbifold points of arbitrary order and cluster variables L Chekhov, M Shapiro International Mathematics Research Notices 2014 (10), 2746-2772, 2014	89	2014
Cluster algebras and triangulated orbifolds A Felikson, M Shapiro, P Tumarkin Advances in Mathematics 231 (5), 2953-3002, 2012	74	2012
Integrable cluster dynamics of directed networks and pentagram maps M Gekhtman, M Shapiro, S Tabachnikov, A Vainshtein Advances in Mathematics 300, 390-450, 2016	61	2016
Generalized Bäcklund–Darboux transformations for Coxeter–Toda flows from a cluster algebra perspective M Gekhtman, M Shapiro, A Vainshtein Acta Mathematica 206 (2), 245-310, 2011	60	2011
Generalized Bäcklund–Darboux transformations for Coxeter–Toda flows from a cluster algebra perspective M Gekhtman, M Shapiro, A Vainshtein Acta mathematica 206 (2), 245-310, 2011	60	2011
Chamber behavior of double Hurwitz numbers in genus 0 S Shadrin, M Shapiro, A Vainshtein Advances in Mathematics 217 (1), 79-96, 2008	57	2008
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
Strong many-particle localization and quantum computing with perpetually coupled qubits LF Santos, MI Dykman, M Shapiro, FM Izrailev Physical Review A 71 (1), 012317, 2005	53	2005
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
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

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