Introduction to persistent homology - MPI MiS Leipzig (Spring 2024)
Room E2 10 (Leon-Lichtenstein)
May 29, 13-14:30. Persistent homology group, persistent Betti numbers function (PBNF), monotonicity of PBNF
June 12, 13-14:30. Discontinuities of PBNF, multiplicity
June 19, 13-14:30. Persistence diagram (PD), cornerpoints of PD, Discontinuities of PD,
June 26, 13-14:30. Local finiteness, Representation theorem
July 3, 13-14:30. Bottleneck distance, stability theorem
Past courses:
Linear Algebra - University of Bologna (teaching assistant, 2018)
Algebra och Geometri SF1624 - KTH (teaching assistant, 2018)
Linjär Algebra SF1672 - KTH (teaching assistant, 2019-2021)
Multivariable Calculus SF1674 - KTH (teaching assistant, 2019)
Grupper och Ringar SF1678 - KTH (teaching assistant, 2020-2021)
Basic course in Mathematics SF1690 - KTH (teaching assistant, 2022)
Supervision:
Lucia Ferrari - Master thesis (2023): From group equivariant to partial group equivariant non-expansive operators (with Patrizio Frosini and Nicola Quercioli)
Eloy Mósig García - Master thesis (2023): Some new results on the matching distance in biparameter persistent homology (with Patrizio Frosini and Nicola Quercioli)