Integral points of log K3 surfaces

• Positive integer points on Mordell-Schzinel surfaces

Preprint, with Robin Zhang

Total positivity and Lie theory

• Fixed points of DT transformations, cluster-exponents and Weyl groups

Journal für die reine und angewandte Mathematik (Crelle's Journal), with Jiang-Hua Lu, to appear

• Cluster tori for finite type and Bott-Samelson varieties

with Jiang-Hua Lu, in preparation

Cluster algebras

• Friezes of cluster algebras of geometric type

Advances in Mathematics, with Min Huang and Jiang-Hua Lu

• Tropical friezes and cluster-additive functions via Fock-Goncharov duality and a conjecture of Ringel

Forum Math. Sigma, with Peigen Cao and Jiang-Hua Lu

Arithmetics of dynamical systems

• Y-frieze patterns

Preprint

• When frieze patterns meet Y-systems: Y-frieze patterns

The Mathematical Intelligencer, 47(1), p.72–76

• On upper bounds of frieze patterns

The Fibonacci Quarterly, 63(1), p.98–106, with Jon Cheah

Formal mathematics (in Lean 4)

• Formalisation of frieze patterns

with Akselai, Jon Cheah, Bockman Cheung and Eaton Liu

• Formalisation of root datum of type A

with Ambrose Tang

Software

• Founder and maintainer of visualca.net

• Creator of Mordellia

Selected talks

• On the correspondence between root systems and cluster algebras

Richard P. Stanley seminar in combinatorics Feb 2026

• Mordell-Schinzel surfaces and cluster algebras

Princeton University / IAS Number theory seminar Feb 2026

• Fixed points of DT transformations and their applications

Tohoku cluster seminar May 2025

• Fixed points of DT transformations and cluster-exponents

Poisson Geometry and cluster algebra conference, Chern Institute Jan 2025

• Y-frieze patterns

Durham University Mar 2024

• Cluster-additive functions

Paris Algebra Seminar, Institut Henri Poincaré Jun 2023

• Cluster-additive functions and frieze patterns with coefficients

Tokyo-Nagoya Algebra Seminar May 2023