Halley Fritze
Contents
Most of my research attention is devoted
to topological data analysis from an implementation perspective.
I blend theory from topology and geometry to solve data-driven
problems.
My thesis implements higher dimensional visualizations of the mapper algorithm, called 2-Mapper,
and constructs persistence barcodes for filtrations of mapper complexes.
I write code mostly in Python and R.
Currently, I am thinking about using topological data analysis to identify
points of genetic recombination in ancestral recombination graphs with
Jonathan Terhorst.
My research experiences also include applications of graph theory and topology
in earth science, climate science, and population genomics.
In particular, I have developed algorithms for inference of coalescent haplotypes in the genomics
library tskit under the mentorship of
Peter Ralph,
and I have experience as a statistician for the
Stanford Genome Technology Center under the mentorship of
Sharada Kalanidhi.
I am always looking for new and exciting interdisciplinary projects that could use
topological data analysis in the natural sciences.
You can find me on
arXiv,
bioRxiv,
Google Scholar,
ORCiD.
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Topological Data Analysis for Prediction of Recombination in ARGs.
Halley Fritze, Jonathan Terhorst.
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Restricted Mapper Classes.
Enrique Alvarado, Robin Belton, Halley Fritze.
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Engineering Mapper Graphs.
Enrique Alvarado, Robin Belton, Nicholas Della Pesca, Aine Doherty, Halley Fritze.
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Identifying orbits in atmostpheric dynamical systems through temporall enriched mapper graphs.
Robyn Brooke, Joshua Dorrington, Halley Fritze.
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Neutrophil State-space Modeling: Combining morphology and dynamics.
Halley Fritze, Bhagirath Mehta, Alexandra Stavrianidi, Arianna Cao, Ishani Mukherji, Dev Sinha, Ronald Davis, Sharada
Kalanidhi.
Papers
Publications
Conference Proceedings
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Multiscale 2-mapper -- Exploratory Data Analysis Guided by the First Betti Number.
Halley Fritze.
The 11th conference in the Algebraic Topology: Methods, Computation, & Science (ATMCS),
July 2025.
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Faithful Reeb Graph Reconstruction of a Tectonic Subduction Zone from Earthquake Hypocenters.
Halley Fritze, Sushovan Majhi, Marissa Masden, Atish Mitra, Michael Stickney.
The 11th conference in the Algebraic Topology: Methods, Computation, & Science (ATMCS),
July 2025.
Other Contributions
