The National Science Foundation (NSF) awarded a $215,057 project grant to William Marsh Rice University, doing business as Rice University, through the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The grant funds research to study singularity, rigidity, and extremality phenomena in minimal hypersurfaces, which are generalizations of minimal surfaces important in areas like general relativity and phase transition theory. This 3-year research project will further investigate the structure of minimal surface singularities, enhanced rigidity properties of critical points in phase transition theory, and extremal behaviors of quasi-local mass notions in general relativity. The grant will also support the principal investigator's efforts to promote student learning and training through seminar organization, conferences, and publications. No subawards are planned under this grant.
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