Anna Mustata, PhD student
Anna Mustata was employed as a PhD student from 1. September 2024 in the Algebra & Geometry Section.
Anna’s family is from Romania, and she grew up in Ireland. She completed a master’s program at Uppsala University (Sweden).
Her thesis was titled "Multiparameter Persistence and Relative Homological Algebra" on a connection between exact categories and topological data analysis, supervised by Professor Martin Herschend.
The main focus of this project was how defining an exact structure on a category of persistence modules can be used to compute rank invariants via relative projective resolutions, with a brief note on how exact structures can provide a shortcut for finding the Auslander Reiten translation of modules that are relative projective but not projective in the standard sense in this category.
Anna is now starting a PhD with Professor Henrik Holm with a focus on model categories. The first project will be about trying to explicitly define the Gorenstein projective modules in certain categories in terms of the Gorenstein projective modules in the category from which those categories were constructed.
You can find Anna in office 04.0.05.