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math.AT2026
A Persistent Homology Signature of Knotting
Aurelie Jodelle Kemme, Collins A. Agyingi, Colleen Farrelly +1
We ask whether knotting can be recognised using persistent homology. Starting from a point-cloud representation of a curve, we compute one-dimensional persistent homology, extract…
math.AT2025
Persistent Homology: A Pedagogical Introduction with Biological Applications
Aurelie Jodelle Kemme, Collins Amburo Agyingi
Persistent Homology (PH) is a fundamental tool in computational topology, designed to uncover the intrinsic geometric and topological features of data across multiple scales. Origi…