Current Research

1. Expansion problems of a number theoretic variety. The relationship between orthogonal expansions, Padé approximants, and irrationality proofs (such as that for ζ(3)).
2. Growth problems concerning polynomials with integer coefficients associated with conjectures of Erdös and Szekeres and conjectures of Littlewood.
3. Iterations and expansions related to special functions, emphasizing low complexity.
4. Analytic inequalities and expansions for rational functions and polynomials, including lacunary polynomials.
5. Approximation issues concerning Chebyshev systems, their Chebyshev polynomials, Müntz systems and incomplete rationals.
6. Existence of planar functions.