CURRICULUM VITAE

Leonid B.Golinskii                          Date of birth:
Senior Research Fellow,                     December 9, 1952
Institute for Low Temperature Physics &     Citizenship:
Engineering, Ukraine Acad. of Sciences      Citizen of the Ukraine
47 Lenin ave., Kharkov 61103, Ukraine

EDUCATION

Doctor of Science in mathematical analysis from the Institute for
Low Temperature Physics & Engineering, Kharkov, Ukraine, 2003;
Ph.D. in probability theory and mathematical statistics from Steklov
Math. Institute, Russian Acad. of Sci.(St.Petersburg Dept), 1986;
MSc  Kharkov State University, Dept. of Math., graduated in 1974.

PROFESSIONAL EXPERIENCE, POSITIONS HELD:

Senior Research Fellow, Institute for Low Temperature Physics,
Ukraine Acad. of Sci., Kharkov, 1988 - present time
Junior Research Fellow, Institute for Low Temperature Physics,
Ukraine Acad. of Sci., Kharkov, 1977 - 1988
Visiting Associate Professor
The Ohio State University (Columbus, OH), 1996-1997, 1998-1999, 2001

TEACHING EXPERIENCE, COURSES GIVEN WITHIN LAST TEN YEARS:

The Kharkov State University   - Complex Analysis, Functional 
                                 Analysis, Probability Theory.
                                 Graduate Courses:
                               - Orthogonal Polynomials and Applications,
                               - Spectral Theory of Stationary 
                                 Random Processes
The Ohio State University        (Columbus, OH), 1996-1997, 1998-1999, 2001
                               - Ordinary and Partial Differential Equation,
                                 Introductory Linear Algebra,
                                 Introduction to Real Analysis,
                                 Real Analysis II-III.

AREAS OF SPECIALIZATION

Complex Analysis, Operator Theory, Probability Theory.

THESIS TITLE (Doctor of Science)

Orthogonal polynomials on the unit circle, Szego difference 
equations and unitary Hessenberg matrices.

ACTIVITIES

Member of the Editorial Board, Journal of Approximation Theory

AREAS OF RESEARCH INTEREST

COMPLEX ANALYSIS (including orthogonal polynomials and their applications,
Schur functions and Schur parameters, classical interpolation problems,
J-contractive matrix functions and their applications)
OPERATOR THEORY (including spectral theory of unitary and self-adjoint
operators and perturbation theory with applications to orthogonal 
polynomials)
PROBABILITY THEORY (including random orthogonal polynomials, spectral 
theory of random stationary processes, decomposition of probability 
distributions and its stability, characterization problems of 
mathematical statistics and their stability)


                      LIST OF REFEREES

Prof. W. Van Assche  Department of Mathematics, Katholieke Universiteit
                     Leuven, Celestijnenlaan 200B, B-3001 Heverlee, Belgium.
Prof. J.S. Geronimo  School of Mathematics, Georgia Institute of Technology,
                     Atlanta, GA 30332-0160, USA.
Prof. F. Marcellan   Catedratico de Matematica Aplicada,
                     Universidad Carlos III de Madrid, Avda. Mediterraneo,
                     28913 Leganes, Spain.
Prof. P. Nevai       Department of Mathematics, The Ohio State University,
                     P.O. Box 3341 Columbus, OH 43210, USA.
Prof. B. Simon       Department of Mathematics, California Institute of
                     Technology, Pasadena, CA 91125, USA


                    SELECTED RECENT PUBLICATIONS


1.  Szego difference equations, transfer matrices and orthogonal
    polynomials on the unit circle, (with P. Nevai), Commun. Math.
    Phys., Vol. 223, 2001, p.p. 223--259.

2.  On the limit sets of the discrete spectrum for complex Jacobi matrices,
    (with I. Egorova), Mat. Sbornik, Vol. 196, 2005, pp.43--70. (Russian)

3.  The location of the discrete spectrum for complex Jacobi matrices,
    (with I. Egorova), Proc. Amer. Math. Soc., Vol. 133, 2005, no.12, 
    pp.3635-3641.

4.  Lieb-Thirring and Bargman-type inequalities for circular arc, 
    Journal of Approx. Theory, Vol. 139, 2006, pp. 65--74.

5.  Schur flows and orthogonal polynomials on the unit circle, Mat. 
    Sbornik, Vol. 197, no.8, 2006, pp. 41--62. (Russian)

6.  The asymptotic properties of the spectrum of nonsymmetrically perturbed
    Jacobi matrix sequences, (with S. Serra-Capizzano), Journal of Approx. Theory, 
    Vol. 144, 2007, pp. 84--102.

7.  Coefficients of orthogonal polynomials on the unit circle and higher-order 
    Szego theorems, (with A. Zlatos), Constractive Approx., Vol. 26, 2007, pp. 361--382.

8.  Orthogonal polynomials: from Jacobi to Simon, (with V. Totik), Proceedings of
    Symposia in Pure Mathematics, Vol. 76.2, 2007, pp. 821--874.