jean-marc fontaine has shown that there exists an equivalence of categories between the category of continuous $\mathbb{z}_p$-representations of a given galois group and the category of \'{e}tale $(\phi,\gamma)$-modules over a certain ring. we are interested in the question of whether there exists a theory of $(\phi,\gamma)$-modules for the lubin-tate tower. we construct this tower via the rings $r_n$ which parametrize deformations of level $n$ of a given formal module. one can choose prime elements $\pi_n$ in each ring $r_n$ in a compatible way, and consider the tower of fields $(k'_n)_n$ obtained by localizing at $\pi_n$, completing, and passing to fraction fields. by taking the compositum $k_n = k_0 k'_n$ of each field with a certain unramified extension $k_0$ of the base field $k'_0$, one obtains a tower of fields $(k_n)_n$ which is strictly deeply ramified in the sense of anthony scholl. this is the first step towards showing that there exists a theory of $(\phi,\gamma)$-modules for this tower. in this talk we will introduce the notions of formal modules and their deformations, strictly deeply ramified towers of fields, and $(\phi,\gamma)$-modules, and sketch the proof that the lubin-tate tower is strictly deeply ramified.