3 problems

Let $F_n$ be the free group of rank $n\geq 2$, let $\operatorname{Aut}(F_n)$ be its automorphism group, and let $H^*(-;\mathbb{Q})$ denote rational group cohomology. Parity stabili…

Let $\mathcal{I}_{n,1}$ be the Torelli group of a genus-$n$ surface with one boundary component and let $\operatorname{IA}_n$ be the IA-automorphism group of the free group of rank…

Let $\mathcal{I}_{n,1}$ be the Torelli group of a genus-$n$ surface with one boundary component and let $\operatorname{IA}_n$ be the IA-automorphism group of the free group $F_n$.…