3 papers
math.AT2026
Homology-based Morphometry of Brain Atrophy: Methods and Applications
Donato Quiccione, Mariam Pirashvili, Nathan Broomhead +1
Understanding the structure of the brain, and how it changes with time and disease, is a core goal of structural neuroimaging. Contemporary approaches to structural brain analysis…
math.AT2025
An isometry theorem for persistent homology of circle-valued functions
Nathan Broomhead, Mariam Pirashvili
This paper explores persistence modules for circle-valued functions, presenting a new extension of the interleaving and bottleneck distances in this setting. We propose a natural g…
math.KT2025
On the Gottlieb group, Drinfeld centre and the centre of a crossed module
Mariam Pirashvili
This new version includes a connection of the main construction to the Gottlieb group, which was absent in the previous versions. However, the first version included material about…