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

with Jon Cheah

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

Cluster algebras

• Friezes of cluster algebras of geometric type

with Min Huang and Jiang-Hua Lu

Preprint.

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

with Peigen Cao and Jiang-Hua Lu

Forum Math. Sigma, to appear

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

with Jiang-Hua Lu

Preprint.

• Cluster tori for finite type and Bott-Samelson varieties, to appear.

with Jiang-Hua Lu

Total positivity and Lie theory

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

Integer points of log K3 surfaces

• Positive integer points on Mordell-Schzinel surfaces, to appear

with Robin Zhang

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