Polterovich, Iosif
 Full Professor

Faculty of Arts and Science  Department of Mathematics and Statistics
AndréAisenstadt Office 5229
Courriels
Affiliations
 Membre Centre de recherches mathématiques
 Membre CRM Centre de recherches mathématiques
Research area
Student supervision Expand all Collapse all
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Research projects Expand all Collapse all
Supplément COVID19 CRSNG_Spectral geometry and topology and their applications CRSNG/Conseil de recherches en sciences naturelles et génie du Canada (CRSNG) / 2020  2021
Spectral geometry and topology and their applications CRSNG/Conseil de recherches en sciences naturelles et génie du Canada (CRSNG) / 2017  2024
Spectral geometry and topology and their applications CRSNG/Conseil de recherches en sciences naturelles et génie du Canada (CRSNG) / 2017  2023
CENTRE DE RECHERCHES MATHEMATIQUES (CRM) FRQNT/Fonds de recherche du Québec  Nature et technologies (FQRNT) / 2015  2023
Fonctions propres et asymptotiques spectrales FRQNT/Fonds de recherche du Québec  Nature et technologies (FQRNT) / 2015  2019
THE CRM : 50 YEARS OF SHAPING MATHEMATICAL SCIENCES IN CANADA CRSNG/Conseil de recherches en sciences naturelles et génie du Canada (CRSNG) / 2014  2023
THE CRM : 50 YEARS OF SHAPING MATHEMATICAL SCIENCES IN CANADA CRSNG/Conseil de recherches en sciences naturelles et génie du Canada (CRSNG) / 2014  2022
CHAIRE DE RECHERCHE DU CANADA  GEOMETRIE ET THEORIE SPECTRALE SPIIE/Secrétariat des programmes interorganismes à lintention des établissements / 2014  2019
COMPUTATIONAL RESOURCES FOR RESEARCH IN MATHEMATICS AND STATISTICS CRSNG/Conseil de recherches en sciences naturelles et génie du Canada (CRSNG) / 2013  2015
TOPICS IN GEOMETRIC SPECTRAL THEORY CRSNG/Conseil de recherches en sciences naturelles et génie du Canada (CRSNG) / 2012  2018
ANALYSE GEOMETRIQUE AND SPECTRAL FRQNT/Fonds de recherche du Québec  Nature et technologies (FQRNT) / 2012  2016
CHAIRE DE RECHERCHE DU CANADA EN GÉOMÉTRIE ET THÉORIE SPECTRALE SPIIE/Secrétariat des programmes interorganismes à lintention des établissements / 2009  2014
CENTRE DE RECHERCHES MATHEMATIQUES (CRM) FRQNT/Fonds de recherche du Québec  Nature et technologies (FQRNT) / 2008  2016
Selected publications Expand all Collapse all
The legacy of Vladimir Andreevich Steklov
Inverse electrostatic and elasticity problems for checkered distributions
Upper bounds for Steklov eigenvalues on surfaces
On the HerschPayneSchiffer estimates for the eigenvalues of the Steklov problem
Shape optimization for low Neumann and Steklov eigenvalues
Maximization of the second positive Neumann eigenvalue for planar domains
Average growth of the spectral function on a Riemannian manifold
Pleijel's nodal domain theorem for free membranes
A lower bound for the remainder in Weyl's law on negatively curved surfaces
Estimates from below for the spectral function and for the remainder in local Weyl's law
Extremal metric for the first eigenvalue on a Klein bottle
Isospectral domains with mixed boundary conditions
Spectral problems with mixed DirichletNeumann boundary conditions: isospectrality and beyond
How large can the first eigenvalue be on a surface of genus two?
Lower bounds for the spectral function and for the remainder in local Weyl's law on manifolds
Regularized traces and Taylor expansions for the heat semigroup
Combinatorics of the heat trace on spheres
Explicit constructions of universal $\Bbb R$trees and asymptotic geometry of hyperbolic spaces
A commutator method for computation of heat invariants
Heat invariants of Riemannian manifolds
From AgmonKannai expansion to Kortewegde Vries hierarchy
Structures at infinity of hyperbolic spaces
An asymptotic subcone of the Lobachevski plane as afunction space
On a characterization of flat metrics on $2$torus