For instance, here's definition 16 of the Ethereum Yellow Paper:
Does $\wedge$ simply mean a concatenation of statements? Like the logic gate AND?
$\wedge$ is exactly 'and' in this context. $\vee$ means 'or'. You can notice the similarity both in form and meaning with $\cap$ and $\cup$ from set theory.
In differential geometry, $\omega_1\wedge\omega_2$ also means the wedge product of two differential forms.
Yes, this symbol is generally used to denote AND. See the wikipedia article on Logical Conjunction:
$ A\land B$ is true only if $A$ is true and $B$ is true
Similarly, we use $ A\lor B$ to mean $A$ OR $B$ (logical disjunction).