Talks

Invited Talks

2026

• Persistent Cup Products and Cup-Length: Theory and Applications. Applied Topology Seminar, AATRN (Apr 8, 2026). Link
• Doughnut or Mickey Mouse? Detecting Toroidal Structure in Data through Persistent Cup-Length. Special Session on Topological Data Analysis, Theory and Applications, AMS Spring Sectional Meeting, Georgia Southern University (Mar 28, 2026). Link
• Beyond Persistent Homology: Persistent Cup Products and Related Invariants. Building-up differential homotopy theory 2026, Shinshu University, Japan (Mar 2, 2026). Link
• Beyond Persistent Homology: Persistent Homotopy-Theoretic Invariants. Building-up differential homotopy theory 2026, Shinshu University, Japan (Mar 2, 2026). Link

2025

• Persistent Cup-Length: A New Invariant for Topological Structure Detection. Conference on Topological Data Analysis: Recent Developments and Applications, University of Missouri (Nov 24, 2025). Link
• Beyond Persistent Homology: Persistent Cup Products and Related Persistent Invariants. Bridging Algebraic Combinatorics, Topology and Applications, Rutgers (Aug 5, 2025). Link
• Persistence and Topological Complexity. Mathematical Congress of the Americas, Miami (Jul 22, 2025). Link
• Persistent Cup Product Structures and Related Invariants. Geometry and Topology Seminar, University of Missouri (Mar 13, 2025). Link
• Persistent Cohomology Operations and Gromov–Hausdorff Estimates. Special Session on Applied Topology, 58th Spring Topology and Dynamics Conference, CNU (Mar 8, 2025). Link

2024

• Persistent Cohomology Operations and Gromov–Hausdorff Estimates. AMS Fall Eastern Sectional Meeting, University at Albany (Oct 20, 2024). Link
• Toroidal Coordinates: Decorrelating Circular Coordinates with Lattice Reduction. AISC Conference, University of North Carolina at Greensboro (Oct 12, 2024).
• Ephemeral Persistence Features and the Stability of Filtered Chain Complexes. AMS Spring Sectional Meeting, Florida State University (Mar 23, 2024). Link
• Persistent Cup Product Structures and Related Invariants.
  • Topology Seminar, UCSB (Mar 12, 2024).
  • AMS Special Session on Discrete Homotopy Theory, JMM 2024 (Jan 6, 2024). Link
• Beyond Persistent Homology: More Discriminative Persistent Invariants.
  • Applied Topology Seminar, EPFL (Mar 6, 2024).
  • Geometry and Topology Seminar, Duke University (Jan 22, 2024). Link
• Persistent Cup Modules. Dagstuhl Seminar 24092 (Feb 29, 2024).
• Decoding Zero-Length Bars. AIM-AMS Special Session on Applied Topology Beyond Persistence Diagrams, JMM 2024 (Jan 6, 2024). Link

2023

• Persistent Cup Product Structures and Related Invariants.
  • Northeastern Topology Seminar (Oct 10, 2023). Link
  • SoCG 2023 (Jun 13, 2023). Link
• Ephemeral Persistence Features and the Stability of Filtered Chain Complexes. SoCG 2023 (Jun 12, 2023). Link

2022

• Other Persistence Invariants: Homotopy Groups and the Cohomology Ring. OU Topology and Data Science Seminar (Nov 7, 2022). Link
• Ephemeral Persistence Features and the Stability of Filtered Chain Complexes. Computational Persistence Workshop (Nov 2, 2022). Link
• From Discrete to Persistent Homotopy Groups. Quantitative Topology Seminar, University of Tennessee (Oct 19, 2022). Link
• Persistent Cup-Length.
  • Conference in Honor of Gunnar Carlsson, IMA (Aug 2, 2022). Link
  • AWM Research Symposium (Jun 19, 2022). Link
  • SoCG 2022 (Jun 9, 2022). Link
  • Special Session on Computational Topology and Applications, AMS Spring Western Sectional Meeting (May 14–15, 2022). Link
  • University of Florida Topological Data Analysis Conference (Jan 20, 2022). Link
• Persistent Homotopy Groups of Metric Spaces.
  • Homotopical Aspects of TDA, Center for Quantum and Topological Systems, NYU Abu Dhabi (Jun 2, 2022).
  • Bridging Applied and Quantitative Topology (May 10, 2022). Link
  • AATRN Vietoris–Rips Seminar (Jan 21, 2022). Link | Video
• Other Persistence Invariants: Homotopy and the Cohomology Ring. Topology Seminar, Florida State University (Jan 18, 2022).

Contributed Talks and Posters

2025

• Cohomological Invariants in Topological Data Analysis: Persistent Cup-Length and Cup Modules. Math and Data Seminar, Rutgers (May 8, 2025). Link

2023

• Ephemeral Persistence Features and the Stability of Filtered Chain Complexes. GTDAML Conference (Jun 9, 2023). Link

2022

• Poster: Persistent Homotopy Groups of Metric Spaces. ATMCS10 (Jun 20, 2022). Link
• Poster: Persistent Cup-Length. ATMCS10 (Jun 20, 2022). Link
• Short tutorial: The Cup Product Operation. Tutorial-a-thon hosted by AATRN and WinCompTop (Jan 3, 2022). Link | Video

2021

• Persistent Cup-Length and Its Computation. OSU Topology, Geometry, and Applications — Graduate Student Seminar Group (Dec 10, 2021). Link
• Other Persistence Invariants: Homotopy and the Cohomology Ring. Online Workshop "Beyond TDA — Persistent Topology and Its Applications in Data Sciences" (Aug 2021). Video
• Persistent Homotopy Groups of Metric Spaces. TGDA Talks co-hosted by AATRN (Jan 15, 2021). Link | Video

2020

• Filtered Chain Complexes and Verbose Barcodes. OSU Topology, Geometry, and Applications — Graduate Student Seminar Group (Nov 20, 2020). Link
• Persistent Homotopy Groups of Metric Spaces. MBI Seminar Series (Sep 2020). Link

Regular Group Seminars

I gave talks regularly in the Network Data Analysis group meetings, typically one to two talks per semester during 2018–2023.