11 citations · 12 across the 3 of their papers we have counts for
4 papers
On the complexity of zero-dimensional multiparameter persistence
Jacek Brodzki, Matthew Burfitt, Mariam Pirashvili
Multiparameter persistence is a natural extension of the well-known persistent homology, which has attracted a lot of interest. However, there are major theoretical obstacles preve…
A numerical measure of the instability of Mapper-type algorithms
Francisco Belchí, Jacek Brodzki, Matthew Burfitt +1
Mapper is an unsupervised machine learning algorithm generalising the notion of clustering to obtain a geometric description of a dataset. The procedure splits the data into possib…
The cohomology of free loop spaces of rank 2 flag manifolds
Matthew I. Burfitt, Jelena Grbić
A complete flag manifold is the quotient of a Lie group by its maximal torus. The rank of a flag manifold is the dimension of the maximal torus of the Lie group. The rank 2 complet…
The cohomology of free loop spaces of homogeneous spaces
Matthew Burfitt
The free loops space of a space has become an important object of study particularly in the case when is a manifold.The study of free loop spaces is motivated in parti…