Spring 2026
Time & Location: All talks are on Monday in Gibson Hall ___ at _:00 PM unless otherwise noted.
Organizer: Komendarczyk, Rafal
January 29, 2026
Geometry & Topology
Title: Persistent Homology Learning Seminar (LSC)
Speaker: Rafal Komendarczyk - Tulane University
Abstract: This learning seminar introduces the foundations of persistent homology, a key tool in topological data analysis for capturing multiscale topological features of general metric spaces. We will study persistence modules, barcodes, and distances such as the bottleneck and interleaving metrics, with a focus on their geometric meaning.
A central goal of the seminar is to understand and prove stability theorems for persistent homology, including bounds relating bottleneck distance to the Gromov–Hausdorff distance. Core examples will come from Morse theory and Vietoris–Rips filtrations of metric spaces.
The seminar is structured as a guided, collaborative reading course and is aimed at graduate students and faculty generally interested in this aspect of topology or geometry.
Location: Hebert 210
Time: 12:30 PM
_______________
February 5, 2026
Geometry & Topology
Title: Persistent Homology Learning Seminar (LSC)
Speaker: Rafal Komendarczyk - Tulane University
Abstract: We will continue our journey into the realm of persistence modules.
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This learning seminar introduces the foundations of persistent homology, a key tool in topological data analysis for capturing multiscale topological features of general metric spaces. We will study persistence modules, barcodes, and distances such as the bottleneck and interleaving metrics, with a focus on their geometric meaning.
A central goal of the seminar is to understand and prove stability theorems for persistent homology, including bounds relating bottleneck distance to the Gromov–Hausdorff distance. Core examples will come from Morse theory and Vietoris–Rips filtrations of metric spaces.
The seminar is structured as a guided, collaborative reading course and is aimed at graduate students and faculty generally interested in this aspect of topology or geometry.
Location: Hebert 210
Time: 12:30 PM
_______________
February 12, 2026
Geometry & Topology
Title: Persistent Homology Learning Seminar (LSC)
Speaker: Rafal Komendarczyk - Tulane University
Abstract: We will go over examples of the interleaving of persistence modules and the interleaving distance.
--------------------------
This learning seminar introduces the foundations of persistent homology, a key tool in topological data analysis for capturing multiscale topological features of general metric spaces. We will study persistence modules, barcodes, and distances such as the bottleneck and interleaving metrics, with a focus on their geometric meaning.
A central goal of the seminar is to understand and prove stability theorems for persistent homology, including bounds relating bottleneck distance to the Gromov–Hausdorff distance. Core examples will come from Morse theory and Vietoris–Rips filtrations of metric spaces.
The seminar is structured as a guided, collaborative reading course and is aimed at graduate students and faculty generally interested in this aspect of topology and geometry.
Location: Hebert 210
Time: 12:30 PM
_______________
February 19, 2026
Geometry & Topology
Title: Persistent Homology Learning Seminar (LSC)
Speaker: Rafal Komendarczyk - Tulane University
Abstract: We are in a position to establish stability for Morse functions in terms of the interleaving distance.
--------------------------
This learning seminar introduces the foundations of persistent homology, a key tool in topological data analysis for capturing multiscale topological features of general metric spaces. We will study persistence modules, barcodes, and distances such as the bottleneck and interleaving metrics, with a focus on their geometric meaning.
A central goal of the seminar is to understand and prove stability theorems for persistent homology, including bounds relating bottleneck distance to the Gromov–Hausdorff distance. Core examples will come from Morse theory and Vietoris–Rips filtrations of metric spaces.
The seminar is structured as a guided, collaborative reading course and is aimed at graduate students and faculty generally interested in this aspect of topology and geometry.
Location: Hebert 210
Time: 12:30 PM
_______________
