SUMMARY RECOMMENDATIONS This report reflects discussions and recommendation from the September 1-2, 2015 NSF-IPAM Mathematical Sciences Internship Workshop held at the Institute for Pure and Applied Mathematics (IPAM) at UCLA.  The workshop was organized by Russel Caflisch, Mathematics, UCLA; Alan Lee, VP of Engineering, Advanced […]

This white paper on the recent progress and remaining open questions related to IPAM’s long program Mathematics of Turbulence  was written by Charlie Doering and Joe Klewicki. Read the full report. Introduction Turbulence is perhaps the primary paradigm of complex nonlinear multi-scale dynamics. It is […]

This report summarizes the Workshop on Future Directions in Mathematics, sponsored by the Office of the Assistant Secretary of Defense for Research and Engineering (ASD(R&E)), Basic Science Office. The workshop was held at the Institute for Pure and Applied Mathematics (IPAM) at UCLA on October […]