3 papers
math.AG2026
Reconstruction of Binary Linear Systems and Profile Geometry of Sparse Krylov Strata
Yangcheng Li
We study reconstruction and profile geometry for divisor schemes of binary linear systems and their sparse Krylov charts. Over the integers, the first nonzero equations of the comp…
math.NT2026
The Arithmetic Geometry of Square-Sided Heron Triangles
Yangcheng Li
We study rational Heron triangles with two marked square sides using elliptic curves and K3 surfaces. An explicit quartic-to-elliptic correspondence parametrizes marked similarity…
math.NT2023
A new perspective of arithmetic billiards
Yangcheng Li
We study the problem of arithmetic billiards from a new perspective. We first raise a similar problem about reflecting lights inside grids. For the solution to this problem, we wil…