Daniel Le

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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

The weight part of Serre's conjecture over CM fields

Daniel Le, Bao V. Le Hung

Under some technical assumptions of a global nature, we establish the weight part of Serre's conjecture for mod $p$ Galois representations for CM fields that are tamely ramified an…

math.NT2024

Extremal weights and a tameness criterion for mod $p$ Galois representations

Daniel Le, Bao Viet Le Hung, Brandon Levin +1

We study the weight part of Serre's conjecture for generic $n$ -dimensional mod $p$ Galois representations. We first generalize Herzig's conjecture to the case where the field is ra…

Serre weight conjectures for GSp4​

The weight part of Serre's conjecture over CM fields

Extremal weights and a tameness criterion for mod p Galois representations

Serre weight conjectures for $GSp_{4}$

Extremal weights and a tameness criterion for mod $p$ Galois representations