B. Hung

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math.NT2026

Resolutions of spaces of crystalline representations and modularity

Robin Bartlett, Bao V. Le Hung, Brandon Levin

We introduce a new partial resolution of crystalline spaces of Galois representations when the gaps in Hodge--Tate weights are smaller than $p$ , with no bound on ramification. Furt…

math.NT2026

Gelfand--Kirillov dimension and mod $p$ cohomology for inner forms of $GL_{2}$

Andrea Dotto, Bao V. Le Hung

Under standard assumptions, we compute the GK-dimension of Hecke eigenspaces in the mod $p$ cohomology of an inner form $D^{\times}$ of $GL_{2}$ over a totally real field unra…

math.NT2025

Serre weight conjectures for $GSp_{4}$

Daniel Le, Bao V. Le Hung, Heejong Lee

We prove the weight part of Serre's conjecture for Galois representations valued in $GSp_{4}$ that are tamely ramified with explicit genericity at places above $p$ as conjec…

math.NT2025

Cohomology of $p$ -adic Chevalley groups

Andrea Dotto, Bao V. Le Hung

Let $G$ be a split connected reductive group over the ring of integers of a finite unramified extension $K$ of $Q_{p}$ . Under a standard assumption on the Coxeter number of…

math.NT2025

Tony Feng, Bao Le Hung

The Breuil-MÃ©zard Conjecture predicts the existence of hypothetical "Breuil-Mezard cycles" in the moduli space of mod $p$ Galois representations of $\mathrm{Gal}(\overline{\mathbb…

Resolutions of spaces of crystalline representations and modularity

Gelfand--Kirillov dimension and mod p cohomology for inner forms of GL2​

Serre weight conjectures for GSp4​

Cohomology of p-adic Chevalley groups

Mirror symmetry and the Breuil-MÃ©zard Conjecture

Gelfand--Kirillov dimension and mod $p$ cohomology for inner forms of $GL_{2}$

Serre weight conjectures for $GSp_{4}$

Cohomology of $p$ -adic Chevalley groups