Project Grant 2302198

This Project Grant award from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) provides $165,000 to Syracuse University to conduct research on homological approaches to differential forms, differential operators, and transfer of algebra structures. The award will support the principal investigator's research on measures of singularity in algebraic geometry, focusing on differential forms, differential operators, cotangent complexes, and DG-algebra and A-infinity structures. The project aims to gain insight into the homological behavior of exterior and symmetric power operations, which are central in many areas of algebra and geometry. The research will continue the principal investigator's engagement in graduate education and organization of conferences and workshops related to the project's themes. The award reflects NSF's mission to promote progress in the mathematical and physical sciences and enhance scientific understanding of major problems.