My research background lies in the field of algebraic topology, and specifically concerns persistent homology and magnitude homology. These are both tools used in topological data analysis (TDA) to study qualitative features of data: persistent homology gives information about the topological properties of a space at different spatial resolutions, while magnitude homology tests certain kinds of convexity in a metric space.

The project I am currently working on involves investigating the interpretation of the magnitude homology groups of a class of outerplanar graphs.

If you want to know more about persistent homology and some of its applications, check out my Master’s Thesis.




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