Scholars@Duke

• Background
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  Education, Training, & Certifications

  • Ph.D., Ohio State University 2020
• Expertise
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  Subject Headings

  • Applied Topology
  • Discrete geometry
  • Metric geometry
• Publications & Artistic Works
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  Selected Publications

  • Academic Articles

    • Kim, W., and F. Mémoli. “Generalized persistence diagrams for persistence modules over posets.” Journal of Applied and Computational Topology 5, no. 4 (December 1, 2021): 533–81. https://doi.org/10.1007/s41468-021-00075-1.
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    • Dey, Tamal K., Woojin Kim, and Facundo Mémoli. “Computing Generalized Rank Invariant for 2-Parameter Persistence Modules via Zigzag Persistence and its Applications,” November 29, 2021.
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    • Kim, Woojin, and Samantha Moore. “Bigraded Betti numbers and Generalized Persistence Diagrams,” November 3, 2021.
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    • Kim, W., and F. Mémoli. “Spatiotemporal Persistent Homology for Dynamic Metric Spaces.” Discrete and Computational Geometry 66, no. 3 (October 1, 2021): 831–75. https://doi.org/10.1007/s00454-019-00168-w.
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    • Cai, C., W. Kim, F. Memoli, and Y. Wang. “Elder-rule-staircodes for augmented metric spaces.” Siam Journal on Applied Algebra and Geometry 5, no. 3 (January 1, 2021): 417–54. https://doi.org/10.1137/20M1353605.
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    • Kim, Woojin, Facundo Mémoli, and Anastasios Stefanou. “Interleaving by Parts: Join Decompositions of Interleavings and Join-Assemblage of Geodesics,” December 9, 2019.
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    • Kim, Woojin, and Facundo Mémoli. “Extracting Persistent Clusters in Dynamic Data via Möbius inversion,” December 11, 2017.
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  • Conference Papers

    • Dey, T. K., W. Kim, and F. Mémoli. “Computing Generalized Rank Invariant for 2-Parameter Persistence Modules via Zigzag Persistence and Its Applications.” In Leibniz International Proceedings in Informatics, Lipics, Vol. 224, 2022. https://doi.org/10.4230/LIPIcs.SoCG.2022.34.
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    • Kim, W., F. Mémoli, and Z. Smith. “Analysis of Dynamic Graphs and Dynamic Metric Spaces via Zigzag Persistence.” In Abel Symposia, 15:371–89, 2020. https://doi.org/10.1007/978-3-030-43408-3_14.
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    • Kim, W., and F. Mémoli. “Formigrams: Clustering summaries of dynamic data.” In Proceedings of the 30th Canadian Conference on Computational Geometry, Cccg 2018, 180–88, 2018.

  • Preprints

    • Clause, Nate, Woojin Kim, and Facundo Memoli. “The discriminating power of the generalized rank invariant,” July 23, 2022.
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• Teaching & Mentoring
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  Recent Courses

  • MATH 230: Probability 2023
  • MATH 730: Probability 2023
  • STA 230: Probability 2023
  • MATH 230: Probability 2022
  • MATH 730: Probability 2022
  • STA 230: Probability 2022
  • MATH 216D: Linear Algebra and Differential Equations (Discussion) 2021
  • MATH 371: Combinatorics 2021
  • MATH 716D: Linear Algebra and Differential Equations (Discussion) 2021
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  Advising & Mentoring

  • I'm on the Vlearn Directory which lists faculty ambassadors who have prioritized faculty-student interaction outside of the classroom.
• Scholarly, Clinical, & Service Activities
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  Presentations & Appearances

  • Persistence diagrams via limit-to-colimit maps and Möbius inversions. JMM 2023. January 2023  2023
  • Extracting Persistent Clusters in Dynamic Data via Möbius inversion. Applied Topology Seminar (ATiA). SUNY Albany. December 2022  2022
  • Persistence Diagrams at the Crossroads of Algebra and Combinatorics. Algebra/Topology seminar. SUNY Albany. December 2022  2022
  • Computing generalized rank invariant for 2-parameter persistence modules via zigzag persistence. Computational Persistence Workshop. Purdue University. November 2022  2022
  • Persistence diagrams via limit-to-colimit maps and Möbius inversions. International Conference on Advances in Interdisciplinary Statistics and Combinatorics. October 2022  2022
  • Computing generalized rank invariant for 2-parameter persistence modules via zigzag persistence. The 38th International Symposium on Computational Geometry. June 2022  2022
  • Extracting Persistent Clusters in Dynamic Data via Möbius inversion. ATMCS 10: Algebraic Topology: Methods, Computation, & Science. June 2022  2022
  • Persistence diagrams via limit-to-colimit maps and Möbius inversions. CMS Summer Meeting. June 2022  2022
  • Persistence diagrams via limit-to-colimit maps and Möbius inversions. Geometry-Topology seminar. Oregon State University. April 2022  2022
  • Extracting Persistent Clusters in Dynamic Data via Möbius inversion . Workshop on Algebraic Combinatorics and Category Theory in Topological Data Analysis. March 2022  2022
  • Persistent Cluster Analysis in Dynamic Data via Moebius Inversion. Topological Data Analysis and its Applications in Biological Systems. AMS Southeastern Sectional Meeting. November 2021  2021
  • Persistent Cluster Analysis in Dynamic Data via Moebius Inversion. University of Oklahoma . November 2021  2021
  • The Persistent Topology of Dynamic Data. Metrics in Multiparameter Persistence. Lorentz Center in Netherland. July 2021  2021
  • The Persistent Topology of Dynamic Data. Topological Insight in Neuroscience . at Mathematical Sciences Research Institute, Berkeley. May 2021  2021
  • Interleaving by Parts for Persistence In a Poset. Topological Data Analysis. The Institute for Mathematical and Statistical Innovation, University of Chicago. April 2021  2021
  • The Persistent Topology of Dynamic Data. Imperial College London. March 2021  2021
  • The Persistent Topology of Dynamic Data. Purdue University. March 2021  2021
  • Spatiotemporal Persistent Homology for Dynamic Metric Spaces. Second Symposium on Machine Learning and Dynamical Systems. Field Institute. September 2020  2020
  • Elder-Rule-Staircodes for Augmented Metric Spaces. The 36th International Symposium on Computational Geometry (SoCG 2020). June 2020  2020
  • Spatiotemporal Persistent Homology for Dynamic Metric Spaces. ATMCS-AATRN 2020. June 2020  2020
  • Generalized Persistence Diagrams for Persistence Modules over Posets. UFTDA2020. January 2020  2020
  • Spatiotemproal Persistent Homology for Dynamic Metric Spaces. January 2020  2020

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