About

I am a postdoctoral researcher in the Department of Mathematics at KTH.
My research at KTH is supported by the Wallenberg AI, Autonomous Systems and Software Program (WASP) and by the Data Driven Life Science (DDLS) program funded by the Knut and Alice Wallenberg Foundation.

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.

Contacts

KTH Royal Institute of Technology
Department of Mathematics, Lindstedtsvägen 25, 11428 Stockholm

Email:  lastname at kth dot se

My KTH personal page is here

Preprints & Publications

Morse theory of Euclidean distance functions and applications to real algebraic geometry,
with Antonio Lerario, Isaac Ren and Martina Scolamiero. Submitted, 2024. [arXiv]

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

On the support of Betti tables of multiparameter persistent homology modules,
with Claudia Landi. Submitted, 2023.  [arXiv]

Algebraic Wasserstein distances and stable homological invariants of data,
with Jens Agerberg, Isaac Ren and Martina Scolamiero. Submitted, 2023.  [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]