Eric Ahlqvist

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20242026

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math.NT2026

Schur $I ¨ $ -groups of type $(3, 3)$ for $p = 3$

Eric Ahlqvist, Richard Pink

For any imaginary quadratic field $K$ , the Galois group $G_{K}$ of its maximal unramified pro- $3$ -extension is a Schur $I ¨ $ -group. If this has Zassenhaus type $(3, 3)$ , there are 13 p…

math.NT2025

The Ã©tale cohomology ring of a punctured arithmetic curve

Eric Ahlqvist, Magnus Carlson

We compute the cohomology ring $H^{*} (U, Z / n Z)$ for $U = X ∖ S$ where $X$ is the spectrum of the ring of integers of a number field $K$ and $S$ is a finite set…

math.NT2025

Eric Ahlqvist, Magnus Carlson

We give formulas for 3-fold Massey products in the Ã©tale cohomology of the ring of integers of a number field and use these to find the first known examples of imaginary quadratic…

Schur I¨-groups of type (3,3) for p=3

The Ã©tale cohomology ring of a punctured arithmetic curve

Massey products in the Ã©tale cohomology of number fields

Schur $I ¨ $ -groups of type $(3, 3)$ for $p = 3$