I am interested in persistence theory in topological data analysis (TDA) and their applications. For my research, I primarily exploit concepts from algebraic & combinatorial topology, (algebraic) combinatorics, metric geometry, commutative algebra, representation theory, and category theory, blending these with ideas of persistence in TDA. I also often run into computational geometry & topology questions during my research.
Email: woojin [AT] math.duke.edu
Zoom Research Meeting: https://duke.zoom.us/j/94227580431?pwd=NVVQQVdWYThXQ2QxNjgzc3NKZGJydz09
Mar/6/2022. I am co-organizing Workshop on Algebraic Combinatorics and Category Theory in Topological Data Analysis which takes place on March 12, 2022 (a substitute for the cancelled AMS Spring Southeastern Sectional Meeting ).
Feb/15/2022. Extracting Persistent Clusters via Möbius inversion has been posted to arXiv (Joint work with F. Memoli), a significant revision of work in 2018, titled previously Stable Signatures for Dynamic Graphs and Dynamic Metric Spaces via Zigzag Persistence.
Feb/9/2022. Computing Generalized Rank Invariant for 2-Parameter Persistence Modules via Zigzag Persistence and its Applications has been accepted to SoCG 2022 arXiv (Joint work with T. Dey and F. Memoli).
Nov/30/2021. Computing Generalized Rank Invariant for 2-Parameter Persistence Modules via Zigzag Persistence and its Applications has been posted to arXiv (Joint work with T. Dey and F. Memoli).
Oct/05/2021. Samantha Moore (a Ph.D. candidate at Univ. of North Carolina at Chapel Hill) is giving a poster presentation about our work “Generalized Persistence Diagrams as an Extension of Elder-Rule-Staircodes” in AATRN poster session, on Oct 8, 2021 (Friday).
Sep/11/2021. I am co-organizing Special Session on Algebraic Combinatorics and Category Theory in Topological Data Analysis in AMS Spring Southeastern Sectional Meeting (March 11-13) with Alex McCleary, Amit Patel, and Facundo Memoli (cancelled).
July/13/2021. Generalizd Persistence Generalized persistence diagrams for persistence modules over posets has been accepted for publication in Journal of Applied and Computational Topology. arXiv preprint.
Apr/09/2021. I will give a contributed lecture titled The Persistent Topology of Dynamic Data at MSRI Hot Topic workshop: Topological Insights in Neuroscience (May 3-11, 2021).
Mar/31/2021. I will give an invited talk in Metrics in Multiparameter Persistence, Lorentz Center (Jul 19-23, 2021).