Publications

Appeared

  1. 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.

  2. 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.

  3. 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

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

  5. 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.

  6. 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.

  7. 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.

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

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

  10. 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.

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

  12. 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. Roswitha Rissner and Irena Swanson, Fluctuations in depth and associated primes of powers of ideals. arXiv:2309.15083 [math.AC], 2023.

Submitted

  1. Clemens Heuberger, Jutta Rath, and Roswitha Rissner, Stabilization of associated prime ideals of monomial ideals – Bounding the copersistence index. arXiv:2310.13431 [math.AC], 2023.

Ongoing projects

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

  2. Upper bounds for the stabilization index of monomial ideals
    Joint work with Jutta Rath and Clemens Heuberger

  3. Sequences of numbers of associated primes of (monomial) ideals
    Joint work with Irena Swanson

  4. Ringsets in matrix algebras
    Joint work with Sabine Evrard and Jean-Luc Chabert

  5. The complete resolution of a family of octic Thue equations
    Joint work with Clemens Heuberger and Volker Ziegler

  6. Algebraic properties of $k$-regular sequences
    Joint work with Daniel Krenn

  7. Skolem properties of rings of functions
    Joint work with Carmelo Finocchiaro

Academic theses

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

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