Projects in Topological Data Analysis Fall 2025

Enrique Alvarado,	Iowa State University,	enrique3 "at" iastate.edu
Robin Belton,	Vassar College,	rbelton "at" vassar.edu
Tao Hou,	University of Oregon	taohou "at" uoregon.edu
Tim Ophelders,	TU Eindhoven,	t.a.e.ophelders "at" uu.nl
Bastian Grossenbacher Rieck,	University of Fribourg,	bastian "at" rieck.me
Anna Schenfisch,	TU Eindhoven,	a.k.schenfisch "at" tue.nl
Patrick Schnider,	ETH Zürich,	patrick.schnider "at" inf.ethz.ch
Dev Sinha,	University of Oregon,	dps "at" uoregon.edu

General Information

The main idea of the course is that students from different universities collaborate on projects in topological data analysis. These projects can be of theoretical nature, e.g., the development or analysis of some algorithm or applied, e.g., using topological data analysis on concrete data sets.

The course will start with an official kick-off meeting, in which the problems will be introduced. Before this meeting, the students are encouraged to watch the introductory lectures from previous instances of the course.

Dates

All meetings will be held via zoom at 17:00 (Zürich/Eindhoven/Fribourg), 11:00am (Poughkeepsie) and 8:00am (Eugene), respectively, and should take at most 90 minutes.

• September 16, 2025: Kick-off meeting.
• December 16, 2025: Final presentations.
• December 17, 2025: Final presentations.

Projects

The proposed projects can be found in this booklet. The booklet also contains information about the final reports and presentations.

Resources

General

• Computational Topology: An Introduction, a classical book by Herbert Edelsbrunner and John Harer.
• Topological Data Analysis with Applications by Gunnar Carlsson and Mikael Vejdemo-Johansson.
• Computational Topology for Data Analysis by Tamal Dey and Yusu Wang.
• Algebraic Topology, a standard textbook on algebraic topology by Allen Hatcher.
• Introduction to Topological Data Analysis, lecture notes of last semesters course at ETH.

Paper databases

• DONUT, Database for applications of topology.

Software packages

• Cat-list, Overview of many software packages.

GUDHI notebooks

The following notebooks introduce the libraries GUDHI for persistent homology and Giotto for Mapper.

• Simplicial complexes
• Persistent homology
• Distances
• Mapper

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Last modified: Fri Aug 22 11:28:16 CET 2025 by Patrick Schnider.

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