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CW-VAE: Shape Generation via Conformal Welding Priors in Variational Autoencoders

Published in Mathematics, Computation and Geometry of Data, 2025

This paper presents CW-VAE (Conformal Welding Variational Autoencoder), a framework using conformal welding as a geometric prior for 2D simply-connected shapes.

Recommended citation: Chenran Lin, Oscar Y.L. Chau and Lok Ming Lui (2025).
"CW-VAE: Shape Generation via Conformal Welding Priors in Variational Autoencoders"
Mathematics, Computation and Geometry of Data. 4(2).
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How geometry of subduction zones correlates with earthquake dynamics

Published in ArXiv Preprint, 2026

Combines differential surface geometry and global seismic data to show that flatter subduction zones generate rarer, larger earthquakes while variable curvature zones produce frequent, smaller events.

Recommended citation: Oscar Y.L. Chau, Rebecca Bendick, Gary P. T. Choi, L. Mahadevan. (2026).
"How geometry of subduction zones correlates with earthquake dynamics"
ArXiv Preprint.
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Enrichment Programme for Young Mathematics Talent Teaching Assistant

Secondary school student course, The Chinese University of Hong Kong, Mathematics department, 2024

Instructed mathematically gifted secondary school students in university level discrete mathematics, covering graph theory, number theory, and combinatorial game theory.

Teaching Assistant: UGEB2530 Games and Strategic Thinking

General Education Undergraduate Course, Department of Mathematics, The Chinese University of Hong Kong, 2025

Instructed interdisciplinary undergraduate students in mathematical game theory, decision modeling, and strategic reasoning.

Teaching Assistant: MATH3320 Foundation of Data Analytics

Undergraduate Course, Department of Mathematics, The Chinese University of Hong Kong, 2025

Supported upper level undergraduate instruction in the mathematical foundations of data science, machine learning, and statistical modeling.

Teaching Assistant: MATH2221 Mathematics Laboratory

Undergraduate Course, Department of Mathematics, The Chinese University of Hong Kong, 2026

Taught lab sections on computational mathematics and scientific programming using MATLAB for undergraduate mathematics majors.