Peter Vang Uttenthal

activity

20232026

most citedA classification of even representations onto 3-adic SL(2)

1 citations · 1 across the 11 of their papers we have counts for

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math.NT2023

Level-raising of even representations of tetrahedral type and equidistribution of lines in the projective plane

Peter Vang Uttenthal

The distribution of primes raising the level of even Galois representations of tetrahedral type is studied. Data are presented on primes $v \leq 1 0^{8}$ raising the level of $3$ -adic…

math.NT2023

On flat even deformation rings

Peter Vang Uttenthal

In the presence of a nontrivial dual Selmer group, certain global even deformation rings are shown to be finite and flat over $Z_{p}$ . Previously, flatness was only known in…

math.NT2023

Density of Selmer ranks in families of even Galois representations, Wiles' formula, and global reciprocity

Peter Vang Uttenthal

This paper concerns the distribution of Selmer ranks in a family of even Galois representations in even residual characteristic obtained by allowing ramification at auxiliary prime…