This was part of The Geometric Realization of AATRN (Applied Algebraic Topology Research Network)

A topological and geometric pipeline for detecting and analyzing cyclic gene expression

Kathryn Hess, EPFL (Ecole Polytechnique Fédérale de Lausanne)

Friday, August 22, 2025



Abstract:

In this talk I will introduce CocycleHunter, a pipeline for identifying and analyzing circular structure in gene expression data, which integrates methods from topological data analysis with geometric lead-lag analysis. Our method provides a powerful, cohomology-based technique for estimating the phase of genes exhibiting cyclic expression patterns (gene cascades), which has been validated on synthetic RNA transcription models, as well as on real datasets.  I’ll explain the math behind the pipeline and illustrate its application to gene expression data.