Liberal Arts and Sciences
Bubenik Lab
Led by Peter Bubenik · Mathematics
What we study
The Bubenik Lab studies Topological Data Analysis (TDA), which examines the 'shape' of data using tools from topology, statistics, and machine learning. They develop methods to analyze complex data structures.
What working here is like
- Computational
- Reading, writing & theory
- No organisms (data only)
- Coding helps
- Papers
- 4
Recent papers, explained
- Mixup Barcodes: Quantifying Geometric-Topological Interactions Between Point Clouds
2026 · DROPS (Schloss Dagstuhl – Leibniz Center for Informatics)
Creates mixup barcodes to describe spatial relationships between point clouds using geometric-topological methods.
- Relative optimal transport
2026 · Studia Mathematica
Develops a theory of optimal transport relative to a distinguished subset, creating relative versions of key norms and distances.
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- Topological data analysis of pattern formation of human induced pluripotent stem cell colonies
2025 · Scientific Reports
Uses topological data analysis to quantify multicellular patterns in stem cell colonies from microscopy images.
- Relative cell complexes in closure spaces
2025 · Canadian Mathematical Bulletin
Finds conditions where pushouts of closure spaces match those in topological spaces, showing cell complex constructions agree.
Plain-language summaries are AI-written and reviewed by us; check the paper for details.
How to reach out
Peter Bubenik hasn't set up this page yet. Their UF Scholars profile lists their publications.