This $109,927 federal Project Grant awarded by the National Science Foundation's (NSF) Integrative Activities (CFDA 47.083) program supports research by Wichita State University's Office of Research and Sponsored Programs. The project aims to deepen the understanding of curvature and its topological implications in various geometric settings, with three primary research objectives:
- Classifying Riemannian and Kähler manifolds with positively-curved curvature operators.
- Exploring Ricci flows with positive isotropic curvature to classify compact manifolds with positive isotropic curvature.
- Investigating gradient shrinking Ricci solitons and Einstein four-manifolds with positive sectional curvature.
In addition to the core research, the project also supports engagement with K-12 students in the Wichita region through math circle and competition activities, as well as mentorship programs for undergraduate and graduate students. The award period runs from September 2024 through August 2027.
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