The University of California, Santa Barbara will conduct research on eigenvalue comparison and integral curvature under a $234,436 project grant from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049). The three-year award beginning July 1, 2021 will support analysis of major problems in mathematics, such as classifying the curvature of manifolds. As part of its mission to strengthen the nation's scientific enterprise, the NSF Mathematical and Physical Sciences program provides funding for progress in these fields through grants for specific projects like comparative analysis of eigenvalues and integrated curvature measures. The award to UC Santa Barbara will contribute to increased understanding of fundamental mathematical concepts over the grant period concluding June 30, 2024.
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