I am an Assistant Professor of Mathematical Sciences at KAIST. I was a William W. Elliott Assistant Research Professor of Mathematics at Duke University until June, 2023. I received a Ph.D. in May, 2020 from Ohio State.
My research interests revolve around developing the theoretical and computational foundations of 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. I want to expand the use of geometric and topological ideas to a broader range of data science and machine learning. Link to Google Scholar
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News
- Feb 7, 2025. Super-Polynomial Growth of the Generalized Persistence Diagram with Donghan Kim and Wonjun Lee (Undergraduate students at KAIST) has been accepted to SoCG 2025.
- Feb 7, 2025. Sparsification of the Generalized Persistence Diagrams for Scalability through Gradient Descent with Matheiu Carrièr (Inria) and Seunghyun Kim (Masters student at KAIST) has been accepted to SoCG 2025.
- Dec 8, 2024. Barcoding Invariants and Their Equivalent Discriminating Power with Emerson G. Escolar has been posted to arXiv.
Upcoming/Recent Trips
- August, 2025. Cycle Representatives in Applied Homological Algebra in Banff
- August, 2025. Bridging Algebraic Combinatorics, Topology and Applications at Rutgers University
- June, 2025. SoCG 2025 in Kanazawa and TDA week 2025 at Kyoto University
- Feb, 2025. Workshop on Applied Geometry and Topology for Data Sciences at SIMIS
- Feb, 2025. TDA and Representation Theory 2025 at Kobe University
Woojin Kim, 김우진 