Research

Home Research Talks Teaching About Me

Publications and Preprints

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:2506.19857
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 (Special Issue of Selected Papers from SoCG 2023)

Persistent Homotopy Groups of Metric Spaces

Facundo Mémoli & L. Zhou

Journal of Topology and Analysis, 2024

Journal | arXiv:1912.12399

Persistent Cup Product Structures and Related Invariants

Facundo Mémoli, Anastasios Stefanou & L. Zhou

Journal of Applied and Computational Topology, 2023

Journal | arXiv:2211.16642
Ephemeral Persistence Features and the Stability of Filtered Chain Complexes

Facundo Mémoli & L. Zhou

39th International Symposium on Computational Geometry (SoCG 2023), 2023

Conference | arXiv:2208.11770
Toroidal Coordinates: Decorrelating Circular Coordinates With Lattice Reduction

Luis Scoccola, Hitesh Gakhar, Johnathan Bush, Nikolas Schonsheck, Tatum Rask, L. Zhou, & Jose A. Perea

39th International Symposium on Computational Geometry (SoCG 2023), 2023

Conference | arXiv:2212.07201
Persistent Sullivan Minimal Models of Metric Spaces

L. Zhou

Preprint, 2023

arXiv:2310.06263
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, 2023

arXiv:2301.00246

Persistent Cup-Length

Marco Contessoto, Facundo Mémoli, Anastasios Stefanou & L. Zhou

38th International Symposium on Computational Geometry (SoCG 2022), 2022

Conference | arXiv:2107.01553v4

Some Results About the Tight Span of Spheres

Facundo Mémoli, Zhengchao Wan, Qingsong Wang & L. Zhou

Preprint, 2021

arXiv:2112.12646

Reducing Parameter Space for Neural Network Training

Tong Qin, L. Zhou, & Dongbin Xiu

Theoretical and Applied Mechanics Letters, 2020

Journal | arXiv:1805.08340

Generalized Fourier Transforms Associated with the Oscillator Representation

Jing-Song Huang & L. Zhou

Journal of Fourier Analysis and Applications, 2019

Journal

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

Last updated: February 2026