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
- Spectral Theory
- Random Matrix Theory
- Difference and Differential Equations
- Orthogonal Polynomials
Teaching
Current (UCLA):
- Fall 2012: Calculus of Several Variables - Math32a
Previous (UCLA):
- Spring 2012: Complex Analysis - Math132
- 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., R. Killip, Distribution of zeros of random orthogonal
polynomials, in preparation.
- R.K., R. Killip, Matrix models and eigenvalue statistics for
truncations of classical unitary ensembles of random matrices, in
preparation.
- R.K., Inverse spectral theorem and point perturbations
of eventually periodic Jacobi matrices, under
submission, 24pp. (arXiv:1211.4274).
- R.K., Meromorphic continuations of finite gap Herglotz
functions and periodic Jacobi matrices, under submission, 31pp. (arXiv:1210.4627).
- R.K., Jost asymptotics for matrix orthogonal polynomials on
the real line, Constr. Approx. 36 (2012), no. 2, pp. 267-309 (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 (arXiv:1210.1287).
- R.K., Asymptotics of the eigenvalues of two-diagonal Jacobi
matrices, Mathematical Notes, 77, no.1-2(2005), pp.283-287 (arXiv:1210.1292).