Sophie Frisch

Sophie Frisch is an Austrian mathematician and full professor at the Graz University of Technology (TU Graz), affiliated with the Institute of Analysis and Number Theory. She holds the senior academic rank Ao. Univ.-Prof., reflecting her long-standing faculty status.

Research Interests: Her work is rooted in algebra, with principal emphasis on commutative ring theory and the theory of integer-valued polynomials. Related interests span number theory, combinatorics, topology, and logic. Recurring mathematical objects in her research include commutative rings, polynomial mappings, and integer-valued polynomials.

Publications & Trends: Over three decades (1995-2024) she has produced a substantial body of peer-reviewed articles (30+ listed) appearing in leading journals such as Journal of Algebra, Journal of Pure and Applied Algebra, Monatshefte für Mathematik, and Communications in Algebra. Themes evolve from foundational questions on polynomial parametrizations and interpolation to modern investigations of factorization properties, irreducibility criteria, and arithmetic in rings of integer-valued polynomials. Recent co-authored works explore primes and irreducibles in atomic domains, p-adic approximation techniques, and prime ideal structures in infinite products of rings.

Contact & Location:

• Email: frisch@tugraz.at
• Institute: Institut für Analysis und Zahlentheorie (Institute 5010)
• Address: Kopernikusgasse 24, 8010 Graz, Austria
• Phone: +43 316 873-7133