Eugenio Borghini

perfil PhD in Mathematics
Research group on Algebraic Topology
Facultad de Ciencias Exactas y Naturales
Universidad de Buenos Aires
eborghini@dm.uba.ar

Research interests: Manifold Learning, Topological Data Analysis, Algorithmic Graph Theory, Combinatorial and Continuous Optimisation, Systolic Geometry and Topology.

English version of my PhD thesis.

Publications

  1. Density-based persistent homology. (2020) In preparation (with X. Fernández and P. Groisman).
  2. A systolic inequality for 2-complexes of maximal cup-length and systolic area of groups. (2019) Preprint, available at Arxiv .
  3. (with E.G. Minian) Simplicial complexity of surface groups. (2019) Accepted for publication in Proceedings of the Royal Society of Edinburgh Section A: Mathematics. Journal.
  4. (with E.G. Minian) The covering type of closed surfaces and minimal triangulations. Journal of Combinatorial Theory Series A, 166 (2019), 1-10. Journal.
  5. Some remarks on PL collapsible covers of 2-dimensional polyhedra. Osaka Journal of Mathematics, 57 (2020), no. 1. Journal.