3 papers
math.NT2026
Uniformity in rational torsion and small points on abelian varieties
Ziyang Gao, Kaiyuan Gu
In this paper, we propose a method to study the Uniform Boundedness Conjecture and the Lang-Silverman Conjecture, which gives a uniform lower bound on the heights of non-torsion ra…
cond-mat.soft2025
Ferrofluids under oscillatory magnetic fields
Taige Wang, Kaiyuan Gu, Anzhou Wang +1
Ferrofluids exhibit two canonical interfacial instabilities, a static Rosensweig (normal-field) instability that produces a lattice of peaks and a dynamical Faraday instability tha…
math.AG2024
On Special Subvarieties of the Universal Semi-abelian Scheme and Pink Conjectures
Kaiyuan Gu, Chenxin Huang
The universal Poincaré torsor, or more generally the universal semi-abelian scheme, can be viewed as a mixed Shimura variety. We give a classification of special subvarieties of t…