Ryan Slechta

firstinitial surname at purdue dot edu

Welcome to my webpage! I am a sixth year PhD student in the Department of Computer Science at Purdue University. In 2016, I joined the Topology, Geometry, and Data Analysis group at The Ohio State University. After four fantastic years, I moved to Purdue with my advisor, Tamal Dey.

I'm primarily interested in a subfield of theoretical computer science called computational topology (also known as topological data analysis). In particular, I work on persistent homology and computational dynamics.

I have coauthored papers with 20 people. Here they are in alphabetical order: Guadalupe Canahuate, David Chiu, Guillaume Damiand, Nathan DeBardeleben, Tamal Dey, Rocio Gonzalez-Diaz, Anna Grim, Qiang Guan, Michał Lipiński, Ben McCamish, Sarah Michalak, Laura Monroe, Marian Mrozek, Tim O’Connor, Peter Olver, Eduardo Paluzo-Hidalgo, Jason Sawin, Cheri Shakiban, Rob Thompson, and Joanne Wendelberger.

Visit dblp for a complete list of my papers.

Preprints

Tracking Dynamical Features via Continuation and Persistence with Tamal K. Dey, Marian Mrozek, and Michał Lipiński. To appear in SoCG 2022. Slides are here.

Persistence of Conley-Morse Graphs in Combinatorial Dynamical Systems with Tamal K. Dey and Marian Mrozek. To appear in SIADS. Slides for GETCO can be found here.

Persistence of the Conley Index in Combinatorial Dynamical Systems with Tamal K. Dey and Marian Mrozek. A recording of my talk at SoCG 2020 can be found here. Seminar-length slides are here.

Filtration Simplification for Persistent Homology via Edge Contraction with Tamal K. Dey. I presented these slides at DGCI 2019. A repository with relevant code can be found here.

Edge Contraction in Persistence-Generated Discrete Morse Vector Fields with Tamal K. Dey. Presented at SMI 2018.

Vita

My CV can be viewed here, and my ORCID is https://orcid.org/0000-0002-3641-3072.

My Erdős number is 3: Erdős → János Pach → Tamal Dey → Ryan Slechta