AATRN supports three affiliated seminars: the Networks Seminar, the Topological Complexity Seminar, and the Vietoris-Rips seminar. We have also online conferences and hosted talks from ATMCS. Click on the relevant subpages for more information.
The Networks seminar covers applications and theory of how network structure is revealed through topology and algebra. The webpage of the networks seminar can be found here.
Co-organizers: Daniela Egas Santander, Jānis Lazovskis, Henri Riihimäki, and Jason Smith
The webpage of the Vietoris-Rips seminar, which considers connections between applied topology, quantitative topology, geometric group theory, and topological combinatorics, can be found here.
This seminar ran 2021-2023, but is currently paused.
Affiliated Workshops and Conferences
Workshop on Bridging Applied and Quantitative Topology
We also host recorded videos from the following conferences on our YouTube channel:
You may be interested in the following other resources that are not organized by AATRN:
Other online research seminars on applied topology include GEOTOP-A: Applications of Geometry and Topology and the Asia Pacific Seminar on Applied Topology and Geometry (APATG).
An important source of applied topology news is appliedtopology.org. Mailing lists with announcements in applied topology include WinCompTop and ALGTOP-L and compgeom-announce. You may also be interested in joining the Slack channel "Geometry & Topology in ML" via their invite link.
Check out the database of articles on real-world applications of TDA, run by Barbara Giunti and Jānis Lazovskis!
Here is a list of applied topology books, ordered by publication year. The list undoubtedly has unintentional omissions; please email aatrn.director"at"gmail.com with updates to this list!
Computational Homology, Tomasz Kaczynski, Konstantin Mischaikow, Marian Mrozek, 2004.
Topology for computing, Afra J Zomorodian, 2005.
Computational Topology: An Introduction, Herbert Edelsbrunner and John L Harer, 2010.
A Short Course in Computational Geometry and Topology, Herbert Edelsbrunner, 2014.
Elementary Applied Topology, Robert Ghrist, 2014.
Persistence Theory: From Quiver Representations to Data Analysis, Steve Y Oudot, 2015.
Geometric and Toplogical Inference, Jean-Daniel Boissonnat, Frédéric Chazal, Mariette Yvinec, 2018.
Algebraic Foundations for Topological Data Analysis, Hal Schenck, 2021.
Computational Topology for Data Analysis, Tamal Dey and Yusu Wang, 2021.
Introduction to Persistent Homology, Žiga Virk, 2022.