This $225,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program will fund research at Arizona State University on multigraded commutative algebra and the asymptotic behavior of filtrations of ideals. The research aims to advance the understanding of Hilbert series, the topology of schemes, and the quasi-polynomial behavior of homological functors applied to multigraded modules. Additionally, the project will investigate divisorial filtrations and whether they exhibit mild F-singularities. This work has direct implications for fields like Schubert geometry, toric geometry, and multiparameter persistent homology. The award will also support mentoring initiatives, seminars, conferences, and workshops to engage postdoctoral, graduate, and undergraduate students. The project period runs from August 15, 2024 to July 31, 2027.
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