Courses in Spring 2012:
GT Algebra: Commutative Ring Theory;
Symbolic Computation.
Other teaching related stuff:
previous courses,
oral exam dates,
Mathematik 2/3 Studienberechtigungsprüfungen.
My research interests are mostly in the triangle formed by algebra, discrete mathematics, and number theory. Mathematical pet objects are commutative rings, polynomial mappings 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.
A construction of integer-valued polynomials with prescribed sets of lengths of factorizations - preprint (PDF), (dvi) (ps)
Integer-valued polynomials on algebras - preprint (PDF), (dvi) (ps)
with D. Krenn, Sylow p-groups of polynomial permutations - preprint (PDF), (dvi) (ps)
with L.N. Vaserstein, Polynomial parametrization of Pythagorean quadruples, quintuples and sextuples, J. Pure Appl. Algebra 216 (1) 2012, 184-191. (dvi) (ps)
with Ch. Frei, Non-unique factorization of polynomials over residue class rings of the integers, Comm. Algebra 39(4) (2011) 1482-1490 (dvi) (ps)
Integer-valued polynomials on algebras - a survey. , Actes du CIRM 2 (2010) no 2, 27-32. (dvi) (ps)
with G. Lettl, Polynomial parametrization of the solutions of Diophantine equations of genus 0, Funct. Approx. Comment. Math. 39 (2008) (2) (Narkiewicz Volume) 205-209. (dvi) (ps)
Remarks on Polynomial Parametrization of Sets of Integer Points, Comm. Algebra 36 (2008) (3) 1110-1114 (abstract) (dvi) (ps)
with L.N. 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 (Inst. 5010)
Technische Universität Graz
Steyrergasse 30
A-8010 Graz,
Austria
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?