## Publications

#### Appeared

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.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.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.*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*Ayman Badawi and Roswitha Rissner,

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

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

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

*Bounds on the radius and status of graphs*,*Networks*, vol.**64**, no. 2, pp. 76–83, 2014. MR3258707.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

Sarah Nakato and Roswitha Rissner,

*Irreducible integer-valued polynomials with prescribed minimal power that factors non-uniquely*, arXiv:2405.16131 [math.AC], 2024.

#### Submitted

Roswitha Rissner and Nicholas J. Werner,

*Counting core sets in matrix rings over finite fields*, arXiv:2405.04106 [math.RA], 2024.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

*Efficient computation of $J$-ideals*

Joint work with Armin Jamshidpey and Eric Schost and Mark Giesbrecht*Upper bounds for the stabilization index of monomial ideals*

Joint work with Jutta Rath and Clemens Heuberger*Sequences of numbers of associated primes of (monomial) ideals*

Joint work with Irena Swanson*Ringsets in matrix algebras*

Joint work with Sabine Evrard and Jean-Luc Chabert*The complete resolution of a family of octic Thue equations*

Joint work with Clemens Heuberger and Volker Ziegler*Algebraic properties of $k$-regular sequences*

Joint work with Daniel Krenn*Skolem properties of rings of functions*

Joint work with Carmelo Finocchiaro

#### Academic theses

Roswitha Rissner,

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

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