Robin D. Tucker-Drob

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20112026

most citedFolner tilings for actions of amenable groups

18 citations · 80 across the 24 of their papers we have counts for

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math.LO2026

Finite index extensions of treeable equivalence relations are treeable

Ruiyuan Chen, Anush Tserunyan, Robin Tucker-Drob

We prove that every countable Borel equivalence relation containing a finite index Borel treeable subequivalence relation is Borel treeable. This answers a long-standing question o…

math.GR2026

Vanishing of $ℓ^{2}$ -Betti numbers for inner amenable groups

Robin Tucker-Drob

We prove that every countable inner amenable group has vanishing $ℓ^{2}$ -Betti numbers in all degrees. This was previously open in every degree $n \geq 2$ .

math.GR2026

Obstructions to coarse universality for finitely generated groups

Robin Tucker-Drob

We prove that, for every bounded-degree graph $Λ$ admitting a finitely cobounded coarse quasi-action by a group, there is a finitely generated group which does not coarsely embed i…

Finite index extensions of treeable equivalence relations are treeable

Vanishing of ℓ2-Betti numbers for inner amenable groups

Obstructions to coarse universality for finitely generated groups

Vanishing of $ℓ^{2}$ -Betti numbers for inner amenable groups