Welcome to my website. I am a mathematician, currently employed as a senior scientist at the Department of Mathematics at Alpen-Adria-Universität Klagenfurt.

My main research areas are algebra and number theory, including combinatorial and computational aspects. My work includes topics in:

• factorization theory, non-unique factorizations of powers of irreducibles, absolute irreducibility
• size of prime divisors, tight bounds for the maximum norm of integer kernel elements, Siegel lemma
• integer-valued polynomials over rings of integers in number fields and general Dedekind domains, Skolem properties
• non-archimedian valuation theory, $p$-adic constructions
• topological properties of rings and modules, completions
• (multivariate) polynomials and polynomial functions over fields as well as possibly non-commutative rings
• primary decomposition of ideals/modules and associated primes, numbers of associated primes and stabilization index with focus on monomial ideals
• (generalized) null ideals of matrices over rings (with zero-divisors)
• combinatorial commutative algebra, simplicial complexes, Stanley-Reisner rings
• integer optimization, graph theory, centrality notions in graphs

I am tech-savvy and particularly fond of developing and using algorithmic methods in order to formulate and prove mathematical conjectures.