Dawid Kielak

activity

20112025

most citedResidually finite rationally solvable groups and virtual fibring

38 citations · 139 across the 31 of their papers we have counts for

collaborators

Showing 2018Show all

4 papers · 1 filter

math.OA2018★ 5 cited

On property (T) for $Aut (F_{n})$ and $SL_{n} (Z)$

Marek Kaluba, Dawid Kielak, Piotr W. Nowak

We prove that $Aut (F_{n})$ has Kazhdan's property (T) for every $n ⩾ 6$ . Together with a previous result of Kaluba, Nowak, and Ozawa, this gives the same state…

math.GR2018★ 38 cited

Residually finite rationally solvable groups and virtual fibring

Dawid Kielak

We show that a finitely generated residually finite rationally solvable (or RFRS) group $G$ is virtually fibred, in the sense that it admits a virtual surjection to $Z$ wi…

math.AT2018

Agrarian and $L^{2}$ -invariants

Fabian Henneke, Dawid Kielak

We develop the theory of agrarian invariants, which are algebraic counterparts to $L^{2}$ -invariants. Specifically, we introduce the notions of agrarian Betti numbers, agrarian acycl…

math.GR2018★ 16 cited

The Bieri-Neumann-Strebel invariants via Newton polytopes

Dawid Kielak

We study the Newton polytopes of determinants of square matrices defined over rings of twisted Laurent polynomials. We prove that such Newton polytopes are single polytopes (rather…

On property (T) for Aut(Fn​) and SLn​(Z)

Residually finite rationally solvable groups and virtual fibring

Agrarian and L2-invariants

The Bieri-Neumann-Strebel invariants via Newton polytopes

On property (T) for $Aut (F_{n})$ and $SL_{n} (Z)$

Agrarian and $L^{2}$ -invariants