Iosif Polterovich,   Associate Professor / Professeur agrégé

Canada Research Chair in Geometry and Spectral Theory

Tel:: (514) 343-5899                       E-mail: iossif  at dms.umontreal.ca
Fax: (514) 343-5700                       Office:  5229, Pavillon André-Aisenstadt, 2920 Chemin de la Tour

Recent publications:

• Dmitry Jakobson, Stephane Nonnenmacher and Iosif Polterovich (Editors),  Spectrum and Dynamics: Proceedings of the workshop held in Montreal, QC, April 7-11, 2008, CRM Proceedings and Lecture Notes, Vol. 52, AMS, 2010.
  
• Rodrigo Bañuelos, Tadeusz Kulczycki, Iosif Polterovich and Bartłomiej Siudeja,  Eigenvalue inequalities for mixed Steklov problems,  Amer. Math. Soc. Transl., Vol. 231 (2010), 19-34.
• Alexandre Girouard and Iosif Polterovich,  Shape optimization for low Neumann and Steklov eigenvalues,  Special issue on ``Complex-Analytic Methods", Math. Meth. Appl. Sci. 33, no. 4 (2010),  501-516.
  
• Alexandre Girouard and Iosif Polterovich,  On the Hersch-Payne-Schiffer inequalities for Steklov eigenvalues,  Func. Anal. Appl.  44:2 (2010), 106–117.  (Russian translation is available here)
  
• Hugues Lapointe, Iosif Polterovich and Yuri Safarov,   Average growth of the spectral function on a Riemannian manifold,  Comm. Partial Differential Equations, 34 (2009), no. 6, 581-615.
  
• Alexandre Girouard, Nikolai Nadirashvili and Iosif Polterovich,  Maximization of the second positive Neumann eigenvalue for planar domains,  J. Diff. Geometry 83, no. 3 (2009), 637-662.
  
•  Iosif Polterovich,  Pleijel's nodal domain theorem  for free membranes,  Proc. Amer. Math. Soc. 137 (2009), 1021-1024.
• Dmitry Jakobson, Iosif Polterovich and John Toth,  A lower bound for the remainder in Weyl's law on negatively curved surfaces,  Int. Math. Res. Not. (2008), no. 2, Art. ID rnm142, 38 pp.
  
• Iosif Polterovich,  Spectral asymptotics and dynamics  on Riemannian manifolds, a short survey in Oberwolfach Reports 41 (2007),  2365-2367.
  
• Dmitry Jakobson and Iosif Polterovich,  Estimates from below for the spectral function and for the remainder in local Weyl's law,  Geom. Funct. Anal. 17, no. 3 (2007), 806-838.
• Michael Levitin, Leonid Parnovski and Iosif Polterovich, Isospectral domains with mixed boundary conditions, J. Phys. A: Math. Gen. 39 (2006) 2073-2082.
  
• Dmitry Jakobson, Michael Levitin, Nikolai Nadirashvili and Iosif Polterovich,  Spectral problems with mixed Dirichlet-Neumann boundary conditions: isospectrality and beyond,  J. Comp. Appl. Math. 194 no. 1 (2006), 141-155.
• Dmitry Jakobson, Nikolai Nadirashvili and  Iosif Polterovich, Extremal metric for the first eigenvalue on a Klein bottle, Canad. J. Math. 58 no. 2 (2006), 381-400.  (2008 G. de B. Robinson Award of the Canadian Mathematical Society).
  
• Dmitry Jakobson,  Michael Levitin, Nikolai Nadirashvili, Nilima Nigam and Iosif Polterovich,  How large can the first eigenvalue be on a surface of genus  two ?, Int. Math. Res. Not. 2005:63 (2005), 3967-3985.

Most of my earlier papers are available at  http://arxiv.org/

Selected recent talks:

• Shape optimization for Neumann and Steklov eigenvalues
• Spectral asymptotics on negative surfaces and hyperbolic dynamics
• Dynamical aspects of spectral asymptotics
  

Enseignement en hiver 2012: Analyse Fonctionnelle 1 (MAT6112)

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Thematic  Semester on Geometric Analysis and Spectral Theory, CRM, Spring 2012

Geometry of Eigenvalues and Eigenfunctions, CRM, June 4-8, 2012.

CRM-ISM  Mathematics Colloquium

Seminar on Spectral Theory

Eli ,  Ari and Lev