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