Decomposing the Persistent Homology Transform of Star-Shaped Objects, Shreya Arya, Barbara Giunti, Abigail Hickok, Lida Kanari, Sarah McGuire, Katharine Turner, arXiv:2408.14995, 2024

Pruning vineyards: updating barcodes by removing simplices, Barbara Giunti, Jānis Lazovskis, arXiv:2312.03925, 2023

Cofibrant indecomposables in chain complex valued tame functors indexed by dimension one posets, Wojciech Chachólski, Barbara Giunti, Claudia Landi, Francesca Tombari, arXiv:2301:04079, 2023

Notes on pivot pairings, Barbara Giunti, EuroCG'21, 2021

Amplitudes in persistence theory, Barbara Giunti, John S. Nolan, Nina Otter, and Lukas Waas, Journal of Pure and Applied Algebra, 2024

Topological Data Analysis in Smart Manufacturing: State of the Art and Future Directions, Martin Uray, Barbara Giunti, Michael Kerber, and Stefan Huber, Journal of Manufacturing Systems, 2024

Keeping it sparse: Computing Persistent Homology revisited, Ulrich Bauer, Talha Bin Masood, Barbara Giunti, Guillaume Houry, Michael Kerber, Abhishek Rathod, Computing in Topology and Geometry, 2024

DONUT -- Creation, Development, and Opportunities of a Database, Barbara Giunti, Bastian Rieck, and Jānis Lazovskis, Notices of the American Mathematics Society, 2023

Decomposing filtered chain complexes: geometry behind barcoding algorithms, Wojciech Chachólski, Barbara Giunti, Alvin Jin, and Claudia Landi, Computational Geometry: Theory and Applications, 2023

Average complexity of matrix reduction for clique filtrations, Barbara Giunti, Guillaume Houry, and Michael Kerber, ISSAC '22: Proceedings of the 2022 International Symposium on Symbolic and Algebraic Computation, 2022

Invariants for tame parametrised chain complexes, Wojciech Chachólski, Barbara Giunti, and Claudia Landi, Homology, Homotopy and Applications, 2021

Dynamical systems on graphs through the signless Laplacian matrix, Barbara Giunti and Vincenzo Perri, Springer Ricerche di Matematica, 2018