ROSTYSLAV KOZHAN
Office: MS 6228
Phone: (310) 825-4980
E-mail: kozhan {at} math {dot} ucla {another dot} edu
Education and Employment:
- Hedrick Assistant Professor, UCLA, 09/2010 - present
- PhD in Math, Caltech, 09/2006 - 06/2010 (Thesis title:
"Asymptotics for orthogonal polynomials, exponentially small
perturbations and meromorphic continuations of Herglotz functions")
- Master's in Math/Statistics, Lviv National University (Ukraine), 2005-2006
- Bachelor's in Math, Lviv National University (Ukraine), 2001-2005
Research Interests
- Mathematical Physics
- Difference and Differential Equations
- Functional Analysis
- Complex Analysis
- Stochastic Analysis
- Financial Mathematics
in particular:
- Spectral Theory
- Orthogonal Polynomials
- Random Matrix Theory
Teaching
Current (UCLA):
- Spring 2012: Complex Analysis - Math132
Previous (UCLA):
- Winter 2012: Calculus of Several Variables - Math32A
- Fall 2011: Analysis - Math 131A
- Fall 2011: Calculus of Several Variables - Math32A
- Spring 2011: Partial Differential Equations - Math 136
- Spring 2011: Ordinary Differential Equations - Math 135
- Winter 2011: Linear Algebra and Applications - Math 33A
- Fall 2010: Analysis - Math 131A
Publications
- R.K., Point perturbations of measures and exponential convergence of Jacobi parameters, manuscript in preparation.
- R.K., Meromorphic continuations of finite gap Herglotz
functions and periodic orthogonal polynomials, under submission.
- R.K., Jost asymptotics for matrix orthogonal polynomials on the real line, to appear in Constr. Approximations (arXiv:1104.0460v2).
- R.K., Equivalence classes of block Jacobi matrices, Proc. Amer. Math. Soc. 139 (2011), pp.799-805 (arXiv:0911.1586v2).
- R.K., Szegő asymptotics for matrix-valued measures with
countably many bound states, J. of Approx. Theory, 162, Issue 6 (2010),
pp.1211-1224 (arXiv:0910.1975v2).
- R.K., L1-spectrum of Banach space valued Ornstein–Uhlenbeck operators,
Semigroup Forum, Vol.78, no.3(2009), pp.547-553 ([link]).
- R.K., Asymptotics of the eigenvalues of two-diagonal Jacobi matrices, Mathematical Notes, 77, no.1-2(2005), pp.283-287 ([link]).