Course announcements for Spring 2010:
Symbolic Computation and
Galois Theory.
Other teaching related stuff:
previous courses and
oral exam dates.
My research interests are mostly in algebra (in particular commutative ring theory) and number theory. Mathematical pet objects are polynomial mappings on commutative rings and integer-valued polynomials.
Some of my papers in PDF (that would be the link with the paper's title), PostScript and dvi, as well as abstracts in HTML.
with Ch. Frei, Non-unique factorization of polynomials over residue class rings of the integers, to appear in Comm. Algebra. (dvi) (ps)
with G. Lettl, Polynomial parametrization of the solutions of Diophantine equations of genus 0, to appear in Functiones et Approximatio (Narkiewicz Volume). (dvi) (ps)
Remarks on Polynomial Parametrization of Sets of Integer Points, Comm. Algebra 36 (2008) (3) 1110-1114 (abstract) (dvi) (ps)
with L. Vaserstein, Parametrization of Pythagorean triples by a single triple of polynomials J. Pure Appl. Algebra 212(2008) (1) 271--274 (abstract) (dvi) (ps)
Polynomial Separation of Points in Algebras
in: S. Chapman (ed.), Arithmetical Properties of Commutative Rings and
Modules (Chapel Hill Conf.), Dekker 2005, pp 249-254.
(abstract)
(dvi)
(ps)
Integrally closed domains, minimal polynomials,
and null ideals of matrices.
Comm. Algebra 32(5) (2004) 2015--2017
(abstract)
(dvi)
(ps)
Nullstellensatz and Skolem properties for
integer-valued polynomials
J. reine angew. Math. (Crelle) 536 (2001) 31--42
(abstract)
(dvi)
(ps)
with P.-J. Cahen and J.-L. Chabert:
Interpolation domains
J. Algebra 225 (2000), 794--803.
(abstract)
(dvi)
(ps)
Interpolation by integer-valued polynomials
J. Algebra 211 (1999) 562--577
(abstract)
(dvi)
(ps)
Polynomial functions on finite commutative
rings
in Advances in Commutative Ring Theory,
Proc. of Fez 1997 Conf., D.E. Dobbs et al (eds.), Dekker 1999, 323--336
(abstract)
(dvi)
(ps)
(other ps)
with M. Pasteka (Pa\v st\'eka), R. Tichy and R. Winkler:
Finitely Additive Measures on Groups and Rings
Rend. Circ. Math. Palermo (2) 48 (1999) 323--340
(abstract)
(dvi)
(ps)
Binomial coefficients generalized w.r.t. a
discrete valuation
Applications of Fibonacci Numbers, Proc. of Graz Conf. 1996,
G.E. Bergum et al. (eds.), Kluwer 1998, pp 133--144.
(abstract)
(ps)
(dvi)
On the minimal distance between group tables
Acta. Sci. Math. (Szeged) 63 (1997) 341--351.
(abstract)
(dvi)
(ps)
Integer-valued polynomials on Krull rings
Proc. Amer. Math. Soc. 124 (1996) 3595--3604
(abstract)
(dvi)
(ps)
Substitution and closure of sets under
integer-valued polynomials
J. Number Theory, 56 (1996) 396--403
(abstract)
(dvi)
(ps)
When are weak permutation polynomials strong?
Finite Fields and Appl. 1 (1995) 437--439
(abstract)
(dvi)
(ps)
Some photos from the Fes Conference on Commutative Rings, 1997.
Not math related boring photos:
Windows;
Chicago Metra in a snowstorm;
blurry kingfisher and junko;
lunar eclipse;
Sophie Frisch
Institut für Mathematik A
Technische Universität Graz
Steyrergasse 30
A-8010 Graz
Austria
My entry in TU Graz white pages;
I guess I do not have to point out that the wish list by "Sophie Frisch" on amazon.de was compiled by someone completely unrelated?