  We show that there exist traveling wave solutions of the Keller-Segel-FKPP
equation, which models a diffusing and logistically growing population subject
to chemotaxis. In contrast to previous results, our result is in the strong
aggregation regime; that is, we make no smallness assumption on the parameters.
The lack of a smallness condition makes $L^\infty$-estimates difficult to
obtain as the comparison principle no longer gives them ``for free." Instead,
our proof is based on suitable energy estimates in a carefully tailored
uniformly local $L^p$-space. Interestingly, our uniformly local space involves
a scaling parameter, the choice of which is a crux of the argument. Numerical
experiments exploring the stability, qualitative properties, and speeds of
these waves are presented as well.
