Greg Knese's Home Page

I'm a Visiting Assistant Professor at UC Irvine.
You can email me at gknese at uci dot edu.
My office is 440C Rowland Hall

Research

I am interested in operator theory, complex analysis,
polynomial zero sets and sums of squares decompositions,
and harmonic analysis.

Papers

  1. September 2009. Kernel decompositions for Schur functions on the polydisk, 18 pages, submitted for publication.
  2. May 2009. (with M.Jury and S.McCullough) Agler interpolation families of kernels, 14 pages,
    to appear in Operators and Matrices.
  3. April 2009. (with J. Agler and J. McCarthy) Algebraic pairs of isometries, 32 pages, to appear in J. Operator Theory.
  4. October 2008. Polynomials with no zeros on the bidisk, 52 pages, submitted for publication.
  5. March 2008. Polynomials defining distinguished varieties, 26 pages, submitted for publication.
  6. Bernstein-Szegõ measures on the two dimensional torus, Indiana Univ. Math. J. 57 No. 3 (2008), 1353-1376.
  7. Function theory on the Neil parabola, Michigan Math. J., Vol. 55, Issue 1 (2007), 139-154.
  8. A Schwarz lemma on the polydisk, Proc. Amer. Math. Soc., 135 (2007), 2759-2768.

Fall 2009 Teaching

Math 4--Math for economists--10am
Math 4--Math for economists--2pm

Other things

Faculty spotlight video
Youtube calculus videos
Slides and audio for the presentation "Rational inner functions on the bidisk" presented at the Fields institute.
LaTeX style file , metafont file , and user's guide to a font/notation I created for two of the above papers.
My math genealogy