University of Wisconsin-Madison is one of the best public universities in US. The Analysis group is actively recruting PhD students with the focus on projects in Harmonic analysis, Approximation theory, Mathematical theory of Fluids, Reaction-Diffusion equations. The high quality research of PhD students might be supported by various grants.
You can find more information on http://www.math.wisc.edu/graduate/about
If interested, please, feel free to visit my page http://www.math.wisc.edu/~denissov/ and ask the questions by email.