Where Geometry Meets Mission: Colleen Farrelly on Geometry, Data & Social Impact.

Colleen Farrelly uses mathematics as a versatile tool across many fields, driven by curiosity and social purpose. Calling herself a “wandering mathematician,” she connects pure math with real-world problems—from epidemic modeling and radiomics to data analysis.

Colleen shares her experience modeling to help position resources that limited an Ebola outbreak. She explains how understanding the geometry and topology of medical images helps generative algorithms produce medically plausible data. She also highlights how tools useful in one domain, like finance, can be applied to others such as ecology or marketing. She stresses the importance of critical thinking: questioning and exploring better approaches.

Colleen authored The Shape of Data: "Geometry-Based Machine Learning and Data Analysis in R" and "Modern Graph Theory Algorithms with Python."

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