Andrea Guidolin

About

I am a Lecturer (Assistant Professor) at the School of Mathematical Sciences at the University of Southampton.

My research interests lie in the areas of topological data analysis, applied topology and computational homological algebra. I obtained my PhD in 2018 from the University of Turin and the Polytechnic of Turin, Italy. In 2018–2020 I was a postdoctoral researcher at BCAM, working on applications of topology to neuroscience. In 2021–2024 I was a postdoctoral researcher in the Department of Mathematics at KTH.

Contacts

University of Southampton
School of Mathematical Sciences
Building 54, Highfield, SO17 1BJ Southampton

Email: firstnameinitial dot lastname at soton dot ac dot uk

Preprints & Publications

On the support of Betti tables of multiparameter persistent homology modules,
with Claudia Landi. To appear in The Quartely Journal of Mathematics, 2025. [doi] [arXiv]

Certifying robustness via topological representations,
with Jens Agerberg, Andrea Martinelli, Pepijn Roos Hoefgeest, David Eklund and Martina Scolamiero. Workshop on Symmetry and Geometry in Neural Representations (NeurReps) at NeurIPS 2024, Extended Abstract Track. [arXiv]

Morse theory of Euclidean distance functions from algebraic hypersurfaces,
with Antonio Lerario, Isaac Ren and Martina Scolamiero. Submitted, 2024. [arXiv]

Algebraic Wasserstein distances and stable homological invariants of data,
with Jens Agerberg, Isaac Ren and Martina Scolamiero. Journal of Applied and Computational Topology (2025), 9.1. [doi] [arXiv]

Koszul complexes and relative homological algebra of functors over posets,
with Wojciech Chachólski, Isaac Ren, Martina Scolamiero and Francesca Tombari. Foundations of Computational Mathematics, 2024. [doi] [arXiv]

Morse inequalities for the Koszul complex of multi–persistence,
with Claudia Landi. Journal of Pure and Applied Algebra (2023), 227.7:107319. [doi] [arXiv]

Effective spectral systems relating Serre and Eilenberg–Moore spectral sequences,
with Daniel Miguel, Ana Romero and Julio Rubio. Journal of Symbolic Computation (2023), 114:122-148. [doi]

Geometry of spiking patterns in early visual cortex: a Topological Data Analytic approach,
with Mathieu Desroches, Jonathan D Victor, Keith P Purpura and Serafim Rodrigues. Journal of the Royal Society Interface (2022), 19.196:20220677. [doi] [bioRxiv]

Computing invariants for multipersistence via spectral systems and effective homology,
with Jose Divasón, Ana Romero and Francesco Vaccarino. Journal of Symbolic Computation (2021), 104:724–753. [doi]

Computing higher Leray–Serre spectral sequences of towers of fibrations,
with Ana Romero. Foundations of Computational Mathematics (2021), 21:1023–1074. [doi] [arXiv]

Computing multipersistence by means of spectral systems,
with Jose Divasón, Ana Romero and Francesco Vaccarino. Proceedings of the ACM International Symposium on Symbolic and Algebraic Computation (2019), 195–202. [doi]

Effective computation of generalized spectral sequences,
with Ana Romero. Proceedings of the ACM International Symposium on Symbolic and Algebraic Computation (2018), 183–190. [doi]