I’m co-organizing the program Dimension and Dynamics at the Institute for Computational and Experimental Research in Mathematics in Spring 2016. (Yes, this means that I hope to participate in the program. Details to follow when they are finalized.) ICERM has several postdoctoral positions associated with the program, one for the full academic year and four for the semester. Applications should be submitted via MathJobs. There is also funding for program visitors and workshop participants; the ICERM webpage has more details on that.
The program covers various aspects of dimension theory and dynamics, from ergodic theory to hyperbolic dynamics to computation. In my own research, I’ve been increasingly attracted to connections between dimension theory and dynamical systems on one hand, and harmonic analysis and additive combinatorics on the other. I look forward to doing more work in that direction in the next few years.