The National Science Foundation (NSF) awarded a $137,324 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) Federal Grant Program to the University of California, Davis (UC Davis) to advance mathematical understanding of polytopes and support the training of a new generation of computational mathematicians.
The project aims to attack various challenges related to polytopes - jewel-like geometric structures with importance across pure and applied mathematics, computer science, and other fields. UC Davis plans to investigate topics such as slices and shadows of polytopes, lattice points and weighted Ehrhart theory, and geometric-topological constructions like fiber polytopes and illumination bodies. The research will leverage a range of mathematical and computational techniques including combinatorics, algebra, geometry, and artificial intelligence. The grant funding will enable UC Davis to develop new mathematical results, educational materials, and software tools to support further polytope research by a broader community of mathematicians and computer scientists. This award reflects NSF's mission to strengthen the nation's scientific enterprise through the advancement of mathematical knowledge and the training of the next generation of experts.
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