Gyujin Oh

collaborators

5 papers

math.NT2025

Aubert duals of strongly positive representations for metaplectic groups

Yeansu Kim, Gyujin Oh

We determine the Aubert duals of strongly positive representations of the metaplectic group $\widetilde{Sp}(n)$ over a non-Archimedean local field $F$ of characteristic different…

math.RT2025

Generalized Whittaker models beyond $sl_{2}$ -triples

Gyujin Oh

We extend the notion of generalized Whittaker models by allowing them to be built upon smooth irreducible representations of unipotent subgroups of a $p$ -adic reductive group that…

math.NT2025

Moduli stacks of crystals and isocrystals

Gyujin Oh, Koji Shimizu

Given a liftable smooth proper variety over $F_{p}$ , we construct the moduli stacks of crystals and isocrystals on it. We show that the former is a formal algebraic stack ov…

math.NT2025

Arithmetic quantum local systems over the moduli of curves

Gyujin Oh

We construct an arithmetic analogue of the quantum local systems on the moduli of curves, and study its basic structure. Such an arithmetic local system gives rise to a uniform way…

math.NT2024

Theta characteristics and noncongruence modular forms

Gyujin Oh

The Hodge bundle $I ¨ $ over a modular curve is a square-root of the canonical bundle twisted by the cuspidal divisor, or a theta characteristic, due to the Kodaira--Spencer isomorph…

Aubert duals of strongly positive representations for metaplectic groups

Generalized Whittaker models beyond sl2​-triples

Moduli stacks of crystals and isocrystals

Arithmetic quantum local systems over the moduli of curves

Theta characteristics and noncongruence modular forms

Generalized Whittaker models beyond $sl_{2}$ -triples