Preprints
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
Abelian and model structures on tame functors, Wojciech Chachólski, Barbara Giunti, Claudia Landi, Francesca Tombari, arXiv:2301:04079, 2023
Notes on pivot pairings, Barbara Giunti, EuroCG'21, 2021
Published
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
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