This $185,987 National Science Foundation Division of Mathematical Sciences Project Grant supports continued collaborative research in enumerative algebraic geometry at the University of North Carolina at Chapel Hill from August 1, 2022 through July 31, 2025. Specifically, the investigators and their graduate students will further their work resolving outstanding questions in enumerative algebraic geometry through techniques including intersection theory, equivariant localization, symmetric...
The University of North Carolina at Chapel Hill received a $740,299 Project Grant award from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The funding will support research into complex Lagrangian geometry as a tool to study geometric questions and quantization arising at the intersection of geometry and topology. Specifically, the award will allow researchers to construct concrete models...
The National Science Foundation (NSF) Division of Mathematical Sciences awarded the University of North Carolina at Chapel Hill (UNC) a $185,000 Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049). The grant supports a three-year research project to develop Hodge theoretic techniques for studying Knizhnik-Zamolodchikov differential equations, which link representation theory, algebraic geometry, and mathematical physics. Key research activities include developing a...
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...
North Carolina State University received a $157,847 Project Grant award from the National Science Foundation Division of Mathematical Sciences on September 1, 2021 to complete the project by August 31, 2024. The grant funds research in higher representation theory and Heegaard Floer homology. This supports the goals of the Mathematical and Physical Sciences program of the National Science Foundation, which aims to strengthen the nation's scientific enterprise through promoting progress in...
The University of North Carolina at Chapel Hill will use a $280,270 Project Grant from the National Science Foundation to support research titled "Dispersive and Wave Equations in the Presence of Background Geometry" from June 2021 through May 2024. The grant is part of NSF's Mathematical and Physical Sciences program (CFDA 47.049), which aims to advance scientific knowledge and understanding in these fields. Specifically, the university will investigate dispersive and wave equations...
The University of North Carolina at Chapel Hill (UNC-Chapel Hill) was awarded a $366,654 project grant from the National Science Foundation (NSF) under the Mathematical and Physical Sciences (47.049) federal grant program. The grant will fund research in three key areas of applied mathematics: properties of model operators in condensed matter and topological physics; performance of numerical algorithms for studying wave propagation; and studying how the geometry of a domain or graph impacts...
The National Science Foundation Division of Mathematical Sciences awarded The University of North Carolina at Charlotte a $180,000 Project Grant under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The three-year award will support research using set-theoretic methods in topology and topological dynamics, providing opportunities for graduate student research training. Specifically, the university will explore the topological consequences of principles related to...
This Project Grant from the National Science Foundation Division of Mathematical Sciences provides $162,825 to support collaborative research in enumerative algebraic geometry at Virginia Polytechnic Institute and State University from August 1, 2022 to July 31, 2025. The research aims to resolve outstanding questions in enumerative algebraic geometry through investigations of intersection theory in moduli spaces of geometric figures including flag varieties, their cotangent bundles, bow...
This $180,139 National Science Foundation project grant supports collaborative research in enumerative algebraic geometry conducted by investigators at Rutgers, The State University. The research aims to resolve outstanding questions in enumerative geometry through the study of intersection theory on moduli spaces of geometric figures including flag varieties, their cotangent bundles, bow varieties, and Hessenberg varieties. Techniques include intersection theory, equivariant localization,...