I’m a William W. Elliott Assistant Research Professor of Math at Duke University (2020 – 2023). My mentor at Duke is Ezra Miller. My short CV is here:CV_August_2022. I received a Math Ph.D. in May, 2020 from Ohio State. I was working under the guidance of Facundo Mémoli . Before that, I earned my Bachelor’s degree at Seoul National Univ. in South Korea.

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

## Upcoming Talks

The list of my talks in the past can be found in my CV.

**Jan/2023** The Joint Mathematics Meetings 2023 (SS. on Applied Topology: Theory and Implementation), *Title: TBD *

**Nov/2022*** *Computational Persistence Workshop at Purdue University (virtual), *Title: TBD *

**Oct/2022** International Conference on Advances in Interdisciplinary Statistics and Combinatorics at UNC at Greensboro, *Title: TBD*

## News

**July/23/2022.** * The discriminative power of the generalized rank invariant* has been posted to arXiv (Joint work with N. Clause and F. Memoli).

**July/23/2022.** Bigraded Betti numbers and generalized persistence diagrams has been posted to arXiv (Joint work with Samantha Moore); It is a new version of the preprint posted on Nov, 2021. *Submitted.*

**July/20/2022.** Interleaving by parts: Join Decompositions of Interleavings and Join-Assemblage of Geodesics has been posted to arXiv. It is a new version of the preprint posted on Jan, 2021. *Submitted.*

**Mar/14/2022.** The full version of *Computing Generalized Rank Invariant for 2-Parameter Persistence Modules via Zigzag Persistence and its Applications* has been invited to a special issue of Discrete & Computational Geometry, devoted to best papers from SoCG 2022. arXiv

**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*. *Submitted.*

**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/03/2021.** *The Generalized Persistence Diagram Encodes the Bigraded Betti Numbers* has been posted to arXiv (Joint work with Samantha Moore).

**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.

**May/07/2021.** * Elder-Rule-Staircodes for Augmented Metric Spaces *has been accepted for publication in SIAM Journal on Applied Algebra and Geometry. arXiv preprint.