Academic Appointments


  • Professor, Mathematics

Stanford Advisees


  • Doctoral Dissertation Advisor (AC)
    Dylan Cant, Laurent Cote, Ipsita Datta, Paul Falcone, Francois-Simon Fauteux-Chapleau, Joj Helfer, Scott Zhang

All Publications


  • The topology of rationally and polynomially convex domains INVENTIONES MATHEMATICAE Cieliebak, K., Eliashberg, Y. 2015; 199 (1): 215-238
  • RECENT ADVANCES IN SYMPLECTIC FLEXIBILITY BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY Eliashberg, Y. 2015; 52 (1): 1-26
  • CONSTRUCTING EXACT LAGRANGIAN IMMERSIONS WITH FEW DOUBLE POINTS GEOMETRIC AND FUNCTIONAL ANALYSIS Ekholm, T., Eliashberg, Y., Murphy, E., Smith, I. 2013; 23 (6): 1772-1803
  • Lagrangian caps GEOMETRIC AND FUNCTIONAL ANALYSIS Eliashberg, Y., Murphy, E. 2013; 23 (5): 1483-1514
  • Effect of Legendrian surgery GEOMETRY & TOPOLOGY Bourgeois, F., Ekholm, T., Eliashberg, Y., Ganatra, S., Maydanskiy, M. 2012; 16 (1): 301-389
  • Topology of Spaces of S-Immersions Marcus Wallenberg Symposium on Perspectives in Analysis, Geometry and Topology Eliashberg, Y., Mishachev, N. BIRKHAUSER VERLAG AG. 2012: 147–167
  • Symplectic homology product via Legendrian surgery PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA Bourgeois, F., Ekholm, T., Eliashberg, Y. 2011; 108 (20): 8114-8121

    Abstract

    This research announcement continues the study of the symplectic homology of Weinstein manifolds undertaken by the authors [Bourgeois F, Ekholm T, Eliashberg Y (2009) arXiv:0911.0026] where the symplectic homology, as a vector space, was expressed in terms of the Legendrian homology algebra of the attaching spheres of critical handles. Here, we express the product and Batalin-Vilkovisky operator of symplectic homology in that context.

    View details for DOI 10.1073/pnas.1019102108

    View details for Web of Science ID 000290719600015

    View details for PubMedID 21518898

  • Madsen-Weiss for geometrically minded topologists GEOMETRY & TOPOLOGY Eliashberg, Y., Galatius, S., Mishachev, N. 2011; 15 (1): 411-472
  • TOPOLOGICALLY TRIVIAL LEGENDRIAN KNOTS JOURNAL OF SYMPLECTIC GEOMETRY Eliashberg, Y., Fraser, M. 2009; 7 (2): 77-127
  • Wrinkled Embeddings Conference on Foliations, Geometry and Topology held in honor of the 70th birthday of Paul Schweitzer Eliashberg, Y. M., Mishachev, N. M. AMER MATHEMATICAL SOC. 2009: 207–232
  • Geometry of contact transformations and domains: orderability versus squeezing GEOMETRY & TOPOLOGY Eliashberg, Y., Kim, S. S., Polterovich, L. 2006; 10: 1635-1747
  • A few remarks about symplectic filling GEOMETRY & TOPOLOGY Eliashberg, Y. 2004; 8: 277-293
  • Compactness results in Symplectic Field Theory GEOMETRY & TOPOLOGY Bourgeois, F., Eliashberg, Y., Hofer, H., Wysocki, K., Zehnder, E. 2003; 7: 799-888
  • Wrinkling of smooth mappings-II Wrinkling of embeddings and K. Igusa's theorem TOPOLOGY Eliashberg, Y. M., Mishachev, N. M. 2000; 39 (4): 711-732
  • Partially ordered groups and geometry of contact transformations GEOMETRIC AND FUNCTIONAL ANALYSIS Eliashberg, Y., Polterovich, L. 2000; 10 (6): 1448-1476
  • Introduction to symplectic field theory Meeting on Visions in Mathematics - Towards 2000 Eliashberg, Y., Givental, A., Hofer, H. BIRKHAUSER VERLAG AG. 2000: 560–673
  • Symplectic topology in the nineties DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS Eliashberg, Y. 1998; 9 (1-2): 59-88
  • Classification of topologically trivial Legendrian knots Workshop on Geometry, Topology and Dynamics Eliashberg, Y., Fraser, M. AMER MATHEMATICAL SOC. 1998: 17–51
  • Wrinkling of smooth mappings and its applications .1. INVENTIONES MATHEMATICAE Eliashberg, Y., Mishachev, N. M. 1997; 130 (2): 345-369
  • Lagrangian intersections and the stable Morse theory. BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA Eliashberg, Y., Gromov, M. 1997; 11B: 289-326
  • Symplectic geometry of plurisubharmonic functions NATO Advanced Study Institute / Seminaire de Mathematiques Superieures on Gauge Theory and Symplectic Geometry Eliashberg, Y. KLUWER ACADEMIC PUBL. 1997: 49–67
  • Local Lagrangian 2-knots are trivial ANNALS OF MATHEMATICS Eliashberg, Y., Polterovich, L. 1996; 144 (1): 61-76
  • LAGRANGIAN INTERSECTIONS IN CONTACT GEOMETRY GEOMETRIC AND FUNCTIONAL ANALYSIS Eliashberg, Y., Hofer, H., Salamon, D. 1995; 5 (2): 244-269
  • NEW APPLICATIONS OF LUTTINGER SURGERY COMMENTARII MATHEMATICI HELVETICI Eliashberg, Y., Polterovich, L. 1994; 69 (4): 512-522
  • UNKNOTTEDNESS OF LAGRANGIAN SURFACES IN SYMPLECTIC 4-MANIFOLDS DUKE MATHEMATICAL JOURNAL Eliashberg, Y., Polterovich, L. 1993; 72 (2): 295-301
  • EMBEDDINGS OF STEIN MANIFOLDS OF DIMENSION-N INTO THE AFFINE SPACE OF DIMENSION 3N/2+1 ANNALS OF MATHEMATICS Eliashberg, Y., Gromov, M. 1992; 136 (1): 123-135
  • CONTACT 3-MANIFOLDS 20 YEARS SINCE MARTINET,J. WORK COLLOQUIUM ON GEOMETRY : FOLIATIONS AND SINGULARITIES, IN MEMORY OF CLAUDE GODBILLON AND JEAN MARTINET Eliashberg, Y. ANNALES INST FOURIER. 1992: 165–92
  • THE DIAMETER OF THE SYMPLECTOMORPHISM GROUP IS INFINITE INVENTIONES MATHEMATICAE Eliashberg, Y., Ratiu, T. 1991; 103 (2): 327-340
  • ON SYMPLECTIC-MANIFOLDS WITH SOME CONTACT PROPERTIES JOURNAL OF DIFFERENTIAL GEOMETRY Eliashberg, Y. 1991; 33 (1): 233-238
  • THE SPECTRAL GEOMETRY OF FLAT DISKS DUKE MATHEMATICAL JOURNAL Brooks, R., Eliashberg, Y., McMullen, C. 1990; 61 (1): 119-131