I am an Associate Professor of Mathematics at the Faculty of Mathematics and Physics (FMF) of the University of Ljubljana (Slovenia). I am also affiliated with the Institute of Mathematics, Physics and Mechanics (IMFM).
I am an algebraist with additional background in number theory. The central theme of my research is the interaction of arithmetic properties and algebraic structures. My interest in weighted automata has led me to also connect with the theoretical computer science (automata theory) community.
My research includes the study of non-unique factorizations of elements in noncommutative rings and in cluster algebras; arithmetic inverse results for weighted finite automata (noncommutative rational series), for semigroup representations, for D-finite series, and for Mahler series; and monoid-theoretical approaches to the study of direct-sum decompositions of modules.
Before finding my permanent home in Ljubljana in 2023, I was the professor of algebra at the University of Graz (Austria), as head of the Algebra and Number Theory research group. As a postdoc, I held a FWF Erwin Schrödinger Postdoctoral Fellowship, visiting the University of Waterloo (Canada) and Dartmouth College (USA).
My Curriculum Vitae.
PhD students:
- Mara Pompili (Graz, since 2022),
- Daniel Z. Vitas (Ljubljana, since 2023).
Editor of
- E-Mail:
- daniel.smertnig@fmf.uni-lj.si
- Office:
- Office J21 423 (4th floor), Jadranska ulica 21
- Phone:
- +386 1 4766 623
- ORCID:
- orcid.org/0000-0002-5391-2471
- arXiv:
- arxiv.org/a/smertnig_d_1
- SICRIS:
- št.: 58259
- Address:
-
Faculty of Mathematics and Physics
University of Ljubljana
Jadranska ulica 21
1000 Ljubljana
Slovenia
- Noncommutative algebra and ring theory
- Factorization theory
- Dedekind prime rings and hereditary noetherian prime rings
- Multiplicative ideal theory
- Quaternion algebras
- Monoids of modules
- Noncommutative rational series
- Weighted automata
- D-finite series, Mahler series, k-regular sequences
- Arithmetic inverse results