142 citations · 181 across the 7 of their papers we have counts for
7 papers
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…
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…
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…
On the Diophantine system involving pairs of triangles with the same area and the same perimeter
Yangcheng Li, Yong Zhang
Many authors studied the problem that rational triangle pairs (triangle-parallelogram pairs) with the same area and the same perimeter. They investigated this problem by solving th…
Microspherical photonics: Giant resonant light forces, spectrally resolved optical manipulation, and coupled modes of microcavity arrays
Yangcheng Li
In this dissertation novel resonant propulsion of dielectric microspheres is studied with the goal of sorting spheres with identical resonances, which are critical for developing m…
Movable thin films with embedded high-index microspheres for super-resolution microscopy
Kenneth W. Allen, Navid Farahi, Yangcheng Li +5
Microsphere-assisted imaging emerged as a surprisingly simple way of achieving optical super-resolution imaging. In this work, we use movable PDMS thin films with embedded high-ind…
Super-Resolution Imaging by Arrays of High-Index Spheres Embedded in Transparent Matrices
Kenneth W. Allen, Navid Farahi, Yangcheng Li +4
We fabricated thin-films made from polydimethylsiloxane (PDMS) with embedded high-index (n~1.9-2.2) microspheres for super-resolution imaging applications. To control the position…