Ruida Di

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20232026

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math.NT2026

Covering Projective Height Balls by Subspaces in Rigid Adelic Spaces

Ruida Di, Runjie Hu

Let $E$ be an $n$ -dimensional rigid adelic space over a number field $K$ . We study the minimum number $g_{E} (R)$ of proper $K$ -subspaces needed to cover the projective height ball of…

math.NT2026

Joint Equidistribution of Subspaces of Bounded Height in Rigid Adelic Spaces

Ruida Di

For every $1 \leq d < n$ , we prove joint equidistribution, as the height tends to infinity, of $d$ -dimensional $K$ -subspaces in a rigid adelic space over a number field $K$ , together w…

math.NT2023

Uniform Bogomolov Conjecture for Tori

Ruida Di

In this paper, we present a novel proof of the uniform Bogomolov conjecture for algebraic tori. To do this, we introduce a definition of non-degenerate subvarieties applicable to a…