Classical logic
The sentence "There is no way I am returning to college" is just another way of writing "I am not returning to college." You can express this with the negation operator in the obvious way. j is not required for this, because (j v ~j) is the law of the excluded middle, and we don't need to assert a tautology (i.e. asserting a tautology does not add anything to the statement or affect its meaning).
Modal (alethic) logic
Under modal logic, we have the option of interpreting the sentence as "I necessarily will not return to college." This would put it on par with statements like "2+2=4" (i.e. statements whose truth value never changes, no matter what alternate circumstances we might imagine), which is arguably a step too far for an a posteriori statement such as "I will not return to college" - but modal logic does not prohibit this, it's just not typical.
You would write this as □~c ("c is necessarily false") or as ~◇c ("it is not possible that c is true"), which are exactly equivalent because the ◇ symbol is defined as just another way of writing ~□~. You should also be aware that there are many different modal logics, most of which are at least somewhat suitable for alethic logic (i.e. the kind of modal logic that deals with possibility and necessity). At the very least, it is typical for alethic logics to include axiom T, which states that □p ⊢ p (i.e. the box operator may be removed if it is the outermost modal operator); axiom K, which states that □(p → q) ⊢ □p → □q (i.e. the box operator distributes over the material conditional); and axiom N, which states that all theorems of first-order logic (such as the law of the excluded middle) are necessarily true (may be prefixed with a box). There are other, more elaborate axioms, but they're not universally accepted. See the SEP link above for more background on how this all works.
