  The representability theorem for stacks, due to Artin in the underived
setting and Lurie in the derived setting, gives conditions under which a stack
is representable by an $n$-geometric stack. In recent work of Ben-Bassat,
Kelly, and Kremnizer, a new theory of derived analytic geometry has been
proposed as geometry relative to the $(\infty,1)$-category of simplicial
commutative Ind-Banach $R$-modules, for $R$ a Banach ring. In this paper, we
prove a representability theorem which holds in a very general context, which
we call a representability context, encompassing both the derived algebraic
geometry context of To\"en and Vezzosi and these new derived analytic geometry
contexts. The representability theorem gives natural and easily verifiable
conditions for checking that derived stacks in these contexts are
$n$-geometric, such as having an $n$-geometric truncation, being nilcomplete,
and having an obstruction theory. Future work will explore representability of
certain moduli stacks arising in derived analytic geometry, for example moduli
stacks of Galois representations.
