Sheng-Yang Kevin Ho

collaborators

4 papers

math.NT2026

A function field analogue of Ligozat's theorem for Drinfeld modular units

Sheng-Yang Kevin Ho

Fix a nonzero level $n \in F_{q} [T]$ . In this paper, we first establish a function field analogue of Ligozat's theorem, which serves as our main result and provid…

math.NT2024

Ogg's conjectures over function fields

Cécile Armana, Sheng-Yang Kevin Ho, Mihran Papikian

In the early 1970s, Andrew Ogg made several conjectures about the rational torsion points of elliptic curves over $Q$ and the Jacobians of modular curves. These conjecture…

math.NT2024

On Drinfeld modular curves for SL(2)

Jesse Franklin, Sheng-Yang Kevin Ho, Mihran Papikian

We study the Drinfeld modular curves arising from the Hecke congruence subgroups of $SL_{2} (F_{q} [T])$ . Using a combinatorial method of Gekeler and Nonnengardt, we ob…

math.NT2024

The Rational Torsion Subgroup of $J_{0} (p^{r})$

Sheng-Yang Kevin Ho

Let $n = p^{r}$ be a prime power ideal of $F_{q} [T]$ with $r \geq 2$ . We study the rational torsion subgroup $T (p^{r})$ of the Drinfel…

A function field analogue of Ligozat's theorem for Drinfeld modular units

Ogg's conjectures over function fields

On Drinfeld modular curves for SL(2)

The Rational Torsion Subgroup of J0​(pr)

The Rational Torsion Subgroup of $J_{0} (p^{r})$