This three-year, $157,604 National Science Foundation Project Grant in the Mathematical and Physical Sciences program (CFDA 47.049) will support research at Boston University focusing on gravitational instantons, mirror symmetry, and enumerative geometry. Specifically, the principal investigator will investigate the differential geometric aspects of gravitational instantons and implications for enumerative geometry and algebraic geometry through mirror symmetry. The research aims to unify understanding of mirror symmetry from different geometric perspectives and provide projects for undergraduate and graduate students. It is expected to provide new constructions of minimal Lagrangians in Calabi-Yau manifolds and stepping stones for probing Calabi-Yau three-fold geometry with fibration structures. The work will be performed at Boston University from September 1, 2022 through August 31, 2025.
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