3 papers
math.AG2024
Duality of differential operators and algebraic de Rham cohomology
Caleb Ji, Casimir Kothari, Oliver Li +3
Given a smooth proper morphism , we introduce a certain derived category where morphisms are permitted to be -linear differential operators.…
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…
math.GR2023
A note on regular polyhedra over finite fields
Caleb Ji
Grothendieck proposed a theory of regular polyhedra over finite fields in Section 4 of \textit{Esquisse d'un Programme}. He isolates certain key parameters from the automorphism gr…