This federal Project Grant award of $293,046 was provided by the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences (CFDA 47.049) program. The grant supports research by Kansas State University (KSU) on applications of parametrized gauge theory, including the study of higher-dimensional spaces and their unique mathematical properties.
Specifically, the research investigates difficult problems related to smooth 4-manifolds, as well as more approachable questions involving embedded surfaces, diffeomorphisms, and families of such objects. The project aims to develop new invariants and algebraic structures to provide insight into these fundamental mathematical challenges. In addition to the core research, the award supports outreach through KSU's Navajo Nation Math Circles program, which shares mathematical activities inspired by the technical research. The project period runs from July 2024 through June 2027.
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