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.
- November 2021 – Introduction to Magnitude Homology, Geometry Seminar, UNITS
- October 2021 – Topological Techniques in Data Science (with tutorial), DSSC Seminar, UNITS
- August 2021 – Magnitude Homology of Erdos-Renyi graphs, GEMS Seminar, University of Delaware
- June 2019 – Relationship between Spectral Sequences and Persistent Homology, Final Seminar of the Higher Algebra Course, UNITS-SISSA
- March 2019 – Comparison between Cech Cohomology and Sheaf Cohomology, Final Seminar of the Algebraic Geometry Course, UNITS-SISSA