1. Current Teaching
Fall 2008: Math 8900, Potential Theory
2.
Earlier Teaching
3. Research Interests
- Approximation in the complex plane, including Pade and
rational
approximation
- Bernstein constants
- Biorthogonal Polynomials
- Continued fractions, and their convergence
- Eigenvalues, singular values, and condition numbers of
Hankel
matrices
- Inequalities such as Bernstein, Large Sieve,
Marcinkiewicz-Zygmund, Markov, Nikolskii Inequalities
- Lagrange Interpolation
- Orthogonal and orthonormal expansions, especially their
approximation properties, and their convergence
- Orthogonal Polynomials, especially for exponential weights,
and
especially their asymptotics
- Potential theory, mainly in the complex plane
- Quadrature theory, both theoretical and numerical
- q-Series, especially for the singular case of q on the unit
circle
- Universality limits for random matrices involving orthogonal polynomials
- Weighted approximation, especially for exponential weights
4.
Selected Papers available online
To buy my book,
Orthogonal
Polynomials with Exponential Weights
(Eli Levin and Doron S Lubinsky), Canadian Mathematical Society Books
in Maths,
Vol. 4, Springer, New York 2001, click
here
To buy my AMS Memoir, Christoffel Functions and Orthogonal
Polynomials for Exponential Weights on [-1,1] (Eli Levin and Doron S.
Lubinsky), AMS Memoir no. 535, American Math. Soc., 1994, click here
5. Graduate Students
6.
CV
7.
Conference Organization
8. Editorial Duties
Associate Editor for