Project Grant 2001206

This three-year Project Grant from the National Science Foundation Division of Mathematical Sciences, totaling $540,974, will fund collaborative research applying recent developments in higher category theory and condensed mathematics to longstanding questions in algebraic geometry and the introduction of new questions in analytic algebraic geometry. Specifically, the principal investigators and their collaborators at the University of California, Berkeley will pursue four main research...

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...

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...

The National Science Foundation (NSF) awarded a $281,250 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) Federal Grant Program to Colorado State University (CSU) to support the 2025 Summer Research Institute in Algebraic Geometry. This large-scale, three-week conference will be held at CSU in Fort Collins, Colorado from July 14 to August 1, 2025. The grant will fund housing for 150 graduate students, postdocs, and early career researchers to attend the institute, which...

This $271,119 project grant from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) supports collaborative research on complex Lagrangians, integrable systems, and quantization in relation to mirror symmetry. The University of California, Davis will lead a research group investigating mirror symmetry as it relates to symplectic geometry and complex algebraic geometry. The group will establish complex Lagrangian geometry as a tool to study geometric...

This $100,000 Project Grant from the National Science Foundation's Mathematical and Physical Sciences (CFDA 47.049) program will establish a Research Training Group (RTG) in Commutative Algebra at the University of Nebraska-Lincoln. The grant will fund a range of training activities, including a first-year undergraduate research experience, an international REU program, and a professional development workshop for early-career algebraists. It will also create three postdoctoral positions and...

This Project Grant award from the National Science Foundation (CFDA 47.049 - Mathematical and Physical Sciences) provides $153,450 to Syracuse University to conduct research on singularities in commutative algebra and algebraic geometry. The research project, titled "Homotopical Methods and Cohomological Supports in Local Algebra," aims to leverage tools from homological algebra to gain deeper insights into the structural properties of commutative rings and study singularities in local...

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,...

This $170,233 three-year Project Grant from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) supports collaborative research at George Mason University to advance enumerative algebraic geometry. The research aims to resolve outstanding questions in this field through investigating the intersection theory of moduli spaces of geometric figures such as flag varieties, their cotangent bundles, bow varieties, and Hessenberg varieties. Techniques include...

This $200,000 National Science Foundation Division of Mathematical Sciences Project Grant will support research and training in noncommutative algebra and geometry at the University of California Irvine from July 1, 2022 to June 30, 2025. The award will advance fundamental understanding of noncommutative algebraic structures that arise in geometry and physics. Researchers will develop new techniques to deduce good algebraic properties for geometrically constructed noncommutative algebras and...