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The mathematics of climate change is one of the grand challenges of 21st century. Atmospheric phenomena range from large scale monsoons and jet stream meanders with spatial scales of thousands of km’s and time-scales of months to years all the way down to individual cumulus clouds formed by turbulence with spatial scales of 100 meters and time-scales of minutes. This workshop will help develop the mathematics necessary to advance our understanding of how to efficiently and accurately link these physical processes. Improvements in this "physics-dynamics" coupling is the major obstacle to improved accuracy of climate models.