[en] I study the problem of bosonization in two- and four-dimensional quantum field theory. Bosonization is an algorithm to change the description of a system in terms of a fermionic field into a description in terms of one or a few bosonic fields. The method I use for my investigations is the 'smooth bosonization scheme', which is based on the path integral formalism. The idea behind this is to first turn the field theory we want to study into a larger theory with a gauge symmetry. Then the original theory can be recovered, or we can produce a completely new theory, by fixing to the appropriate gauge. I start my investigations by revisiting earlier applications of smooth bosonization in two dimensions, where I show how one can remove certain additional assumptions within these previous approaches. A massive Dirac fermion coupled to an arbitrary vector field in four dimensions is then bosonized along these lines. The result is an exact rewriting of the theory into a theory containing a 'small' residual part of the fermion, ghost fields from the gauge-fixing procedure, and the bosonic fields. The bosonized theory may be relevant in connection with low energy effective field theories. (author)