The National Science Foundation (NSF) awarded a 3-year, $155,000 Project Grant under the Integrative Activities (CFDA 47.083) program to the Board of Regents of the University of Nebraska, doing business as the University of Nebraska, for research in commutative algebra and algebraic geometry. The project focuses on three areas: symbolic powers of ideals and higher-order polynomial interpolation, homological properties of symmetric ideals, and the algebraic Lefschetz property. The research aims to develop new mathematical techniques with applications in data analysis, numerical analysis, computer graphics, and mathematical modeling. In addition to the research, the project will engage undergraduate students in summer research, coordinate an undergraduate research hub, and support graduate students and postdoctoral scholars. The award is jointly funded by the NSF Algebra and Number Theory Program and the Established Program to Stimulate Competitive Research (EPSCoR).
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