Institute of Geometry

Ángel Javier Alonso

• 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
  

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