Research

Publications and Preprints

Topological Optimization with Birth and Death Cochains.
Thomas Weighill & L. Zhou.
Preprint. arXiv:2603.25575
On the Hausdorff stability of barcodes over posets.
Mujtaba Ali, Tom Needham, Anastasios Stefanou & L. Zhou.
Preprint. arXiv:2601.16947

Effective Resistance in Simplicial Complexes as Bilinear Forms: Generalizations and Properties.
Inés García-Redondo, Claudia Landi, Sarah Percival, Anda Skeja, Bei Wang & L. Zhou.
Preprint. arXiv:2511.10749
Doughnut or Mickey Mouse? Detecting Toroidal Structure in Data through Persistent Cup-Length.
Ekaterina S. Ivshina, Galit Anikeeva & L. Zhou.
Preprint. arXiv:2507.11151
Finding the Cores of Higher Graphs Using Geometric and Topological Means: A Survey.
Inés García-Redondo, Claudia Landi, Sarah Percival, Anda Skeja, Bei Wang & L. Zhou.
WinCompTop3 Proceedings, 2025.
arXiv
Persistence and Topological Complexity.
Facundo Mémoli & L. Zhou.
Preprint. arXiv:2506.17888
Persistent Cohomology Operations and Gromov-Hausdorff Estimates.
Anibal M. Medina-Mardones & L. Zhou.
Preprint. arXiv:2503.17130
Ephemeral Persistence Features and the Stability of Filtered Chain Complexes.
Facundo Mémoli & L. Zhou.
Journal of Computational Geometry, 2025.
Journal

Persistent Homotopy Groups of Metric Spaces.
Facundo Mémoli & L. Zhou.
Journal of Topology and Analysis, 2024.
Journal | arXiv

Persistent Cup Product Structures and Related Invariants.
Facundo Mémoli, Anastasios Stefanou & L. Zhou.
Journal of Applied and Computational Topology, 2023.
Journal | arXiv
Ephemeral Persistence Features and the Stability of Filtered Chain Complexes.
Facundo Mémoli & L. Zhou.
SoCG 2023.
Conference | arXiv
Toroidal Coordinates: Decorrelating Circular Coordinates With Lattice Reduction.
Luis Scoccola, Hitesh Gakhar, Johnathan Bush, Nikolas Schonsheck, Tatum Rask, L. Zhou & Jose A. Perea.
SoCG 2023.
Conference | arXiv
Persistent Sullivan Minimal Models of Metric Spaces.
L. Zhou.
Preprint. arXiv
Gromov-Hausdorff Distances, Borsuk-Ulam Theorems, and Vietoris-Rips Complexes.
Henry Adams, Johnathan Bush, Nate Clause, Florian Frick, Mario Gómez, Michael Harrison, R. Amzi Jeffs, Evgeniya Lagoda, Sunhyuk Lim, Facundo Mémoli, Michael Moy, Nikola Sadovek, Matt Superdock, Daniel Vargas, Qingsong Wang & L. Zhou.
Preprint. arXiv

Persistent Cup-Length.
Marco Contessoto, Facundo Mémoli, Anastasios Stefanou & L. Zhou.
SoCG 2022.
Conference | arXiv

Some Results About the Tight Span of Spheres.
Facundo Mémoli, Zhengchao Wan, Qingsong Wang & L. Zhou.
Preprint. arXiv

Reducing Parameter Space for Neural Network Training.
Tong Qin, L. Zhou & Dongbin Xiu.
Theoretical and Applied Mechanics Letters, 2020.
Journal | arXiv

Generalized Fourier Transforms Associated with the Oscillator Representation.
Jing-Song Huang & L. Zhou.
Journal of Fourier Analysis and Applications, 2019.
Journal

Co-organizer, Data Science and Applied Math Working Group (DAWG) Workshop, Duke University, Fall 2024.
With Ranthony Clark, Aziz Burak Gülen, and Jonathan Mousley.
Co-organizer, Applied Math Working Groups, Duke University, Spring 2024.
With Ranthony Clark and Jonathan Mousley.
Co-organizer, AMS Special Session on Bridging Applied and Quantitative Topology (SS 62A), JMM 2024, January 2024.
With Henry Adams.
Co-organizer, Special Session on Topological Persistence: Theory, Algorithms, and Applications, Spring Southeastern AMS Sectional Meeting, Georgia Institute of Technology, Atlanta, March 2023.
With Luis Scoccola and Hitesh Gakhar.
Organizer, weekly group meetings of the Network Data Analysis research group at OSU, 2020 – Aug 2022.
Co-organizer, First Midwest Graduate Student Conference: Geometry and Topology meet Data Analysis and Machine Learning, 2019.

Special Graduate Assignment, Spring 2020 & Spring 2023 (OSU)
Tibor Radó Graduate Fellowship, 2017–18 (OSU)
The 12th Epsilon Fund Award to Top Students, 2016–2017 (HKUST)
Din-Yu Hsieh Teaching Award, 2016–2017 (HKUST)
Scholarship of the Pilot Project for Fostering Top-Notch Students in Basic Science, 2013–2014
Outstanding Student Award, 2011–12, 2012–13 (Sichuan University, top 10%)
First Class Comprehensive Scholarship, 2010–11, 2011–12 (Sichuan University, top 2%)
National Endeavor Fellowship, 2012–13, 2013–14 (top 5%)
National Scholarship, 2010–11, 2011–12 (top 2%)