Talks

Invited Talks

2026

• Topological Optimization with Birth and Death Cochains.
  • 2026 AMS Fall Western Sectional Meeting, Special Session on Topological Data Analysis: Theory and Applications, Arizona State University, Tempe, AZ (Nov 7, 2026).
  • Foundations of Computational Geometry and Topology, ICERM (May 20, 2026).
• Doughnut or Mickey Mouse? Detecting Toroidal Structure in Data through Persistent Cup-Length.
  • 2026 SIAM Texas-Louisiana Sectional Meeting, Topological Data Analysis and Emerging Applications in the Life Sciences, Southern Methodist University, Dallas, TX (Oct 31, 2026).
  • 2026 AMS Spring Southeastern Sectional Meeting, Special Session on Topological Data Analysis, Theory and Applications, Georgia Southern University (Mar 28, 2026).
• Persistent Cup Products and Cup-Length: Theory and Applications (online).
  • Geometry/Topology Seminar, Oregon State University (Jun 1, 2026).
  • Applied Topology Seminar, AATRN (Apr 8, 2026).
• Beyond Persistent Homology: Persistent Cup Products and Related Invariants (online).
  • Building-up differential homotopy theory 2026, Shinshu University, Japan (Mar 2, 2026).
• Beyond Persistent Homology: Persistent Homotopy-Theoretic Invariants (online).
  • Building-up differential homotopy theory 2026, Shinshu University, Japan (Mar 2, 2026).

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).
• Beyond Persistent Homology: Persistent Cup Products and Related Persistent Invariants.
  • Bridging Algebraic Combinatorics, Topology and Applications, Rutgers (Aug 5, 2025).
• Persistence and Topological Complexity.
  • Mathematical Congress of the Americas, Miami (Jul 22, 2025).
• Persistent Cup Product Structures and Related Invariants.
  • Geometry and Topology Seminar, University of Missouri (Mar 13, 2025).
• Persistent Cohomology Operations and Gromov–Hausdorff Estimates.
  • 58th Spring Topology and Dynamics Conference, Special Session on Applied Topology, CNU (Mar 8, 2025).

2024

• Persistent Cohomology Operations and Gromov–Hausdorff Estimates.
  • 2024 AMS Fall Eastern Sectional Meeting, University at Albany (Oct 20, 2024).
• 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.
  • 2024 AMS Spring Southeastern Sectional Meeting, Florida State University (Mar 23, 2024).
• Persistent Cup Product Structures and Related Invariants.
  • Topology Seminar, UCSB (Mar 12, 2024).
  • JMM 2024, AMS Special Session on Discrete Homotopy Theory (Jan 6, 2024).
• Beyond Persistent Homology: More Discriminative Persistent Invariants.
  • Applied Topology Seminar, EPFL (Mar 6, 2024).
  • Geometry and Topology Seminar, Duke University (Jan 22, 2024).
• Persistent Cup Modules.
  • Dagstuhl Seminar 24092 (Feb 29, 2024).
• Decoding Zero-Length Bars.
  • JMM 2024, AIM-AMS Special Session on Applied Topology Beyond Persistence Diagrams (Jan 6, 2024).

2023

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

2022

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

2023

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

2022

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

2021

• Persistent Cup-Length and Its Computation.
  • OSU Topology, Geometry, and Applications — Graduate Student Seminar Group (Dec 10, 2021).
• 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). | Video

2020

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

Regular Group Seminars

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