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I grew up and went to school in Moscow, Russia. Graduated from the Moscow Institute of Electronics and Mathematics (MIEM) in 1976 with the diploma in Applied Mathematics (a rough equivalent of the MS degree.) I started my research with Mikhail Agranovich who was (and still is) a professor in MIEM. After couple of years, I decided that I would like to move to the US. That move took time, but, finally, in 1987 I found myself in Boston, MA. I went to Graduate School, and in 1989 I got my PhD in Mathematics from MIT. Victor Guillemin was my dissertation advisor. For two years, I was an Adjunct Assistant Professor in UCLA, and, from 1991, I am on the faculty in the University of Arizona.
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Courses
  • TG
    Topology-Geometry

  • TMA
    Topics in Modern Analysis

  • LGLA
    Lie Groups and Lie Algebras

  • RA
    Real Analysis

  • CA
    Complex Analysis

  • CII
    Calculus II

  • PA
    Principles of Analysis

  • BHS
    Banach and Hilbert Spaces

  • CI
    Calculus I

  • LA
    Linear Algebra

Grants
  • Funding agency logo
    From Carthage to the World,the Isoperimetric Problem of Queen Dido and its Mathematical Ramifications to be held in Tunisia, Spring 2010

    Principal Investigator (PI)

    2010

    $49.5K
  • Funding agency logo
    Frontiers in Nonlinear Waves

    Co-Investigator (COI)

    2010

    $40.0K
Publications (25)
Recent
  • On multiplicative properties of determinants

    2019

  • Generic eigenvalue multiplicities for two-parameter families of operators

    2013

  • On the spectrum of the Dirichlet Laplacian in a narrow strip

    2009

  • On the spectrum of narrow periodic waveguides

    2008

  • Determinants of zeroth order operators

    2008

  • Problems in teaching through applications [3]

    2007

  • Genericity of simple eigenvalues for a metric graph

    2005

  • Extremal properties of eigenvalues for a metric graph

    2005

  • On the spectrum of a class of second order periodic elliptic differential operators

    2002

  • On the density of states of periodic media in the large coupling limit

    2002

  • An inequality between dirichlet and neumann eigenvalues in a centrally symmetric domain

    2001

  • Relative torsion

    2001

  • A Differential Invariant Related to the First Eigenvalue of the Laplacian

    1999

  • Torsions for manifolds with boundary and glueing formulas

    1999

  • Asymptotic expansion of the Witten deformation of the analytic torsion

    1996

  • Analytic and Reidemeister torsion for representations in finite type Hilbert modules

    1996

  • On the Functional logdet and Related Flows on the Space of Closed Embedded Curves on S sup 2 /sup

    1994

  • Regularized determinants for pseudodifferential operators in vector bundles over S sup 1 /sup

    1993

  • Meyer-vietoris type formula for determinants of elliptic differential operators

    1992

  • On the determinant of elliptic differential and finite difference operators in vector bundles over S sup 1 /sup

    1992

  • On the second eigenvalue of the dirichlet laplacian

    1992

  • On the determination of elliptic differential and finite difference operators in vector bundles over S sup 1 /sup

    1991

  • Some inequalities between Dirichlet and neumann eigenvalues

    1991

  • An invariant measure for the equation u sub tt /sub -u sub xx /sub +u sup 3 /sup =0

    1985

  • A summation method for the Rayleigh-Schrödinger series for the anharmonic oscillator

    1985

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