Caleb Ji

collaborators

5 papers

math.AG2025

The Brauer Group of $Y_{0} (2)$

Niven Achenjang, Deewang Bhamidipati, Aashraya Jha +2

We determine the Brauer group of the Deligne-Mumford stack $Y_{0} (2)$ , the moduli space of elliptic curves with a marked $2$ -torsion subgroup over bases of arithmetic inter…

math.AG2025

General base change for relative Du Bois complexes

Caleb Ji, SÃ¡ndor KovÃ¡cs

A partial answer is given to a question raised by KovÃ¡cs and Taji in arxiv:2307.07192, namely that the relative Du Bois complex of a family parametrized by a non-singular curve co…

math.AG2024

Duality of differential operators and algebraic de Rham cohomology

Caleb Ji, Casimir Kothari, Oliver Li +3

Given a smooth proper morphism $f : X \to S$ , we introduce a certain derived category where morphisms are permitted to be $O_{S}$ -linear differential operators.…

math.AG2024

Effectivity for bounds on points of good reduction in the moduli space of hypersurfaces

Caleb Ji

Let $S$ be a finite set of primes. For sufficiently large $n$ and $d$ , Lawrence and Venkatesh proved that in the moduli space of hypersurfaces of degree $d$ in $P^{n}$ , the…

math.NT2024

Convolution monodromy groups and the Shafarevich conjecture for hypersurfaces in tori

Caleb Ji

The Shafarevich conjecture for a class of varieties over a number field posits the finitude of those with good reduction outside a finite set of primes. In the case of hypersurface…

The Brauer Group of Y0​(2)

General base change for relative Du Bois complexes

Duality of differential operators and algebraic de Rham cohomology

Effectivity for bounds on points of good reduction in the moduli space of hypersurfaces

Convolution monodromy groups and the Shafarevich conjecture for hypersurfaces in tori

The Brauer Group of $Y_{0} (2)$