Papers

  • When frieze patterns meet Y-systems: Y-frieze patterns, The Mathematical Intelligencer, (article) (arxiv).

  • On upper bounds of frieze patterns (with J. Cheah), The Fibonacci Quarterly, 63(1), 98–106, 2025 (article) (arxiv)

Preprints

  • Fixed points of DT transformations, cluster-exponents and Weyl groups (with J.-H. Lu), submitted, arxiv: 2503.11391

  • Tropical friezes and cluster-additive functions via Fock-Goncharov duality and a conjecture of Ringel (with P. Cao and J.-H. Lu), submitted, arXiv: 2311.17712.

  • Y-frieze patterns, submitted, arXiv: 2311.03073.

  • Friezes of cluster algebras of geometric type (with M. Huang and J.-H. Lu), submitted, arxiv: 2309.00906.

In preparation

  1. Cluster tori for finite type and Bott-Samelson varieties (with J.-H. Lu).

  2. Y-cluster algebras

Conferences attended

  • January 2025: Conference on Poisson Geometry and Cluster Algebras, Chern Institute of Mathematics, Nankai University

  • April 2024: Workshop on formal proofs and Lean, National University of Singapore

  • March 2024: Continued fractions and SL2 tilings, Durham University

  • October 2023: Arbeitsgemeinschaft in cluster algebras, MFO

  • September 2023: Cluster algebras, representation theory and algebraic geometry, HKU

  • June 2023: Higher structures in geometry and mathematical physics, IHP Paris

  • June 2022: New trends in representation theory, AMSI-MSRI Winter School

  • January 2021: Global young scientist summit, Singapore (Online)

  • August 2019: Toric varieties, MSRI Summer Graduate School, NCTS Taipei

  • June 2019: ICCM, Tsinghua University

Selected talks

  • January 2025: Fixed points of DT transformations and cluster-exponents, Chern Institute of Mathematics, Nankai University

  • December 2024: Fixed points of DT transformations and cluster-exponents, AIMS conference (Abu Dhabi)

  • May 2024: Digitalising mathematics in Lean, HKU (slides)

  • March 2024: Y-frieze patterns, Durham University

  • September 2023: Patterns from the duality pairing, HKU

  • June 2023: Cluster-additive functions, Paris Algebra Seminar (held at the IHP)

  • May 2023: Cluster-additive functions and frieze patterns with coefficients, Tokyo-Nagoya Algebra Seminar (Online)

Teaching

  • 2023: Introduction to total positivity in reductive groups (HKU Geometry seminar).

  • 2022: Algebra II (HKU).

  • 2021: Linear Algebra I, Multivariable Calculus and Linear Algebra (HKU).

  • 2020: University Mathematics II, Multivariable Calculus and Linear Algebra (HKU).

  • 2019: University Mathematics II, Multivariable Calculus and Linear Algebra (HKU).