Summary: The authors begin a study of normal form theorems for parabolic partial differential equations \[ \partial_ t v= \partial_ x^ 2 v+\mu v-v^ 3- \varepsilon R(v), \] where \(R\) is a polynomial whose terms are all of degree 4 or higher. They show that despite the presence of resonances one can construct a partial normal form for perturbations of the Ginzburg- Landau equation. The normal form transformation is expressed in terms of singular integral operators, whose behavior can be controlled in the appropriate function spaces.