Institute of Geometry

Ángel Javier Alonso


Institute of Geometry, TU Graz
Kopernikusgasse 24
8010 Graz
Austria

Phone: (+43) 316 873 8949
Email: alonsohernandez@tugraz.at

About
Since October 2021, I am a PhD student under the supervision of Michael Kerber.

Papers
  • A Sparse Multicover Bifiltration of Linear Size [arXiv]
    Ángel Javier Alonso

  • Probabilistic Analysis of Multiparameter Persistence Decompositions [doi] [arXiv]
    Ángel Javier Alonso, Michael Kerber, Primoz Skraba
    Proceedings of the 40th Symposium on Computational Geometry (SoCG 2024)

  • On the scanning map and the space of smooth projective hypersurfaces [arXiv]
    Ángel Javier Alonso, Federico Cantero Morán
    to appear Quaterly Journal of Mathematics

  • Delaunay Bifiltrations of Functions on Point Clouds [doi] [arXiv]
    Ángel Javier Alonso, Michael Kerber, Tung Lam, Michael Lesnick
    Proceedings of the ACM-SIAM Symposium on Discrete Algorithms (SODA24)

  • Decomposition of Zero-dimensional Persistence Modules via Rooted Subsets [doi] [conf] [arXiv]
    Ángel Javier Alonso, Michael Kerber
    Discrete & Computational Geometry, to appear in print
    Conference version: Proceedings of the 39th Symposium on Computational Geometry (SoCG 2023)

  • Filtration-Domination in Bifiltered Graphs [doi] [arXiv]
    Ángel Javier Alonso, Michael Kerber, Siddharth Pritam
    2023 Proceedings of the Symposium on Algorithm Engineering and Experiments (ALENEX), 27-38

Software
  • filtration-domination includes algorithms to simplify bifiltered graphs while preserving the multiparameter persistent homology of their clique complexes.