This $180,000 Project Grant from the National Science Foundation Division of Mathematical Sciences, under the Mathematical and Physical Sciences program (CFDA 47.049), will fund research and training in approximation theory and elementary submodels at Virginia Commonwealth University from September 1, 2022 to August 31, 2025. The award supports using simpler concepts to approximate and provide insights into more complicated mathematical problems, employing a combination of set-theoretic and algebraic methods to address some open problems in this area. The work will provide graduate student research training opportunities. If successful, this research could provide new invariants for categorical structures by determining whether simpler subcategories can approximate or extract information about more complex ambient categories.
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