This federal Project Grant award of $220,000.00 from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports research conducted by Brown University to study variational methods in singular geometry. The key products and services of this 3-year award include:
The principal investigator will conduct research on applying the principle of least action and Lagrangian functionals to study more complex systems, such as harmonic maps, that have important applications. The project also has an educational component where the principal investigator will supervise graduate students, undergraduates, and produce expository notes for a wider audience. This research aims to develop analytical methods to study topological objects and phenomena like geodesic foliations, laminations, earthquakes, and cataclysms, for which there is limited existing literature. The award reflects NSF's mission and has been deemed worthy of support based on the intellectual merit and broader impacts review criteria.
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