4 problems

Periodicity conjecture. These $h_0$-submodules have the same $h_0$-coexponent for all $i$.

Let $E_2$ denote the Adams $E_2$ page for the sphere, viewed with its algebraic structure, and let its differentials be regarded as derivations. Uniqueness conjecture. The space of…

New Doomsday Conjecture. For any $Sq^0$-family in $\operatorname{Ext}_{A_*}(\mathbb{F}_2,\mathbb{F}_2)$, only finitely many elements survive to the $E_\infty$-page of the classical…

Let $p$ be an odd prime, let $A$ be the mod $p$ Steenrod algebra, and let $\varphi_s$ denote the mod $p$ Lannes–Zarati homomorphism in Adams filtration $s$, with positive stem $t$.…