The National Science Foundation (NSF) awarded a $405,500 Project Grant under its Mathematical and Physical Sciences (CFDA 47.049) program to Duke University to support a research program in A1-homotopy theory and its applications to enumerative geometry and number theory. The award will fund research to develop enriched counting methods that can detect differences in the number of solutions to equations requiring real or imaginary numbers, with potential applications in number theory and algebraic geometry. Additionally, the grant will support a pipeline program to engage gifted high school students from diverse backgrounds in collaborative mathematics research experiences. The project aims to increase understanding of the logarithmic derivative of the Weil zeta function and its connections to the topology of algebraic varieties over finite fields. The award period is from June 1, 2024 to May 31, 2027.
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