Publications

Appeared

  1. Roswitha Rissner and Nicholas J. Werner, Counting core sets in matrix rings over finite fields, Linear Algebra Appl., vol. 720. pp. 1–25, 2025. MR4897680.

  2. Clemens Heuberger, Jutta Rath, and Roswitha Rissner, Stabilization of associated prime ideals of monomial ideals – Bounding the copersistence index, Linear Algebra Appl., vol. 707, pp. 162–186, 2024.

  3. Roswitha Rissner and Irena Swanson, Fluctuations in depth and associated primes of powers of ideals, Arkiv för Matematik, vol. 62, no. 1, pp. 191–215, 2024.

  4. Moritz Hiebler, Sarah Nakato, and Roswitha Rissner, Characterizing absolutely irreducible integer-valued polynomials over discrete valuation domains, J. Algebra, vol. 633, pp. 696–721, 2023. MR4620134.

  5. Sophie Frisch, Sarah Nakato, and Roswitha Rissner, Split absolutely irreducible integer-valued polynomials over discrete valuation domains, J. Algebra, vol. 602, pp. 247–277, 2022.
    arXiv:2107.14276 [v2] contains an extended introduction, the remaining sections are identical to the journal version.

  6. Roswitha Rissner and Daniel Windisch, Absolute irreducibility of the binomial polynomials, J. Algebra, vol. 578, pp. 92–114, 2021. MR4234798.
    Update to the journal version to include more references (all results and proofs remain unchanged): arXiv:2009.02322

  7. Ayman Badawi and Roswitha Rissner, Ramsey numbers of partial order graphs and implications in ring theory, Open Mathematics, vol. 18, pp. 1645–1657, 2020.

  8. Sophie Frisch, Sarah Nakato, and Roswitha Rissner, Sets of lengths of factorizations of integer-valued polynomials on Dedekind domains with finite residue fields, J. Algebra, vol. 528, pp. 231–249, 2019. MR3933257.

  9. Austin Antoniou, Sarah Nakato, and Roswitha Rissner, Irreducible polynomials in $\operatorname{Int}(\mathbb{Z})$, in ITM Web Conf. Volume 20, 2018 International Conference on Mathematics (ICM 2018) Recent Advances in Algebra, Numerical Analysis, Applied Analysis and Statistics, 2018.

  10. Clemens Heuberger and Roswitha Rissner, Computing $J$-Ideals of a Matrix over a Principal Ideal Domain, Linear Algebra Appl., vol. 527, pp. 12–31, 2017. MR3647467.

  11. Roswitha Rissner, A note on analytically irreducible domains, in Rings, polynomials, and modules, Springer, Cham, 2017, pp. 337–352. MR3751704.

  12. Roswitha Rissner, Null ideals of matrices over residue class rings of principal ideal domains, Linear Algebra Appl., vol. 494, pp. 44–69, 2016. MR3455685.

  13. Paul-Jean Cahen and Roswitha Rissner, Finiteness and Skolem closure of ideals for non-unibranched domains, Comm. Algebra, vol. 43, no. 6, pp. 2231–2239, 2015. MR3344185.

  14. Roswitha Rissner and Rainer E. Burkard, Bounds on the radius and status of graphs, Networks, vol. 64, no. 2, pp. 76–83, 2014. MR3258707.

  15. Rainer E. Burkard and Roswitha Rissner, Polynomially solvable special cases of the quadratic bottleneck assignment problem, J. Comb. Optim., vol. 22, no. 4, pp. 845–856, 2011. MR2851784.

Accepted

  1. Sarah Nakato and Roswitha Rissner, Irreducible integer-valued polynomials with prescribed minimal power that factors non-uniquely, accepted for publication in the proceedings of the Conference on Rings and Factorizations 2024 in Graz . arXiv:2405.16131 [math.AC], 2024.

Submitted

  1. Jutta Rath and Roswitha Rissner, Minimal generating sets of large powers of bivariate monomial ideals. arxiv.org:2503.21466 [math.AC], 2025.

Ongoing projects

  1. Number of factors in representations of singular integer matrices as products of idempotents
    Joint work with Laura Cossu

  2. Factorization properties in subrings of $\operatorname{Int}(\mathbb{Z})$
    Joint work with Paul Baginski

  3. Trace-orthonormal bases over $\mathbb{F}_q$
    Joint work with Gülizar Günay Mert

  4. Factorizations of matrices with entries in $\mathbb{N}_0$
    Joint work with Johannes Schmucker and Markus Tripp

  5. Efficient computation of $J$-ideals
    Joint work with Armin Jamshidpey and Eric Schost and Mark Giesbrecht

Academic theses

  1. Roswitha Rissner, On the algebraic and arithmetic properties of commutative rings, Habilitation thesis, University of Klagenfurt. 2024.

  2. Roswitha Rissner, Integer-valued polynomials, PhD thesis, Graz University of Technology, 2015.

  3. Roswitha Rissner, Mittelpunktseigenschaften von Bäumen (Trees and centrality), Master’s thesis, Graz University of Technology, 2012.