##### KMap

❝

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.Show Less

#### VOSviewer

##### Courses

- TGTopology-Geometry
- TMATopics in Modern Analysis
- LGLALie Groups and Lie Algebras
- RAReal Analysis
- CAComplex Analysis
- CIICalculus II
- PAPrinciples of Analysis
- BHSBanach and Hilbert Spaces
- CICalculus I
- LALinear Algebra

##### Grants

- 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

- 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

Grants

Citations

H-Index

Patents

News

Books

Opportunities