Alexander Merkurjev

activity

20162026

most citedRost invariant on the center, revisited

2 citations · 3 across the 5 of their papers we have counts for

collaborators

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3 papers · 1 filter

math.NT2025

The lifting problem for Galois representations

Alexander Merkurjev, Federico Scavia

We solve the lifting problem for Galois representations in every dimension and in every characteristic. That is, we determine all pairs $(n, k)$ , where $n$ is a positive integer and…

math.NT2024

Galois representations modulo $p$ that do not lift modulo $p^{2}$

Alexander Merkurjev, Federico Scavia

For every finite group $H$ and every finite $H$ -module $A$ , we determine the subgroup of negligible classes in $H^{2} (H, A)$ , in the sense of Serre, over fields with enough roots of u…

math.NT2023★ 1 cited

Non-formality of Galois cohomology modulo all primes

Alexander Merkurjev, Federico Scavia

Let $p$ be a prime number and let $F$ be a field of characteristic different from $p$ . We prove that there exist a field extension $L / F$ and $a, b, c, d$ in $L^{\times}$ such that $(a…

The lifting problem for Galois representations

Galois representations modulo p that do not lift modulo p2

Non-formality of Galois cohomology modulo all primes

Galois representations modulo $p$ that do not lift modulo $p^{2}$