Project Grant 2304920
- This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) totaling $249,648 supports research on the relation between geometric and algebraic structures of groups. The award will fund the principal investigator's (PI) investigations into groups with geometric structures, focusing on situations where such groups have subgroups that exhibit undesirable geometric properties. Additionally, the PI will undertake efforts to broaden...
- The National Science Foundation (NSF) awarded a $394,473 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) program to the University of Oklahoma's Office of Research Administration. The grant will fund research by the Principal Investigator on rigidity properties of hyperbolic manifolds, which are multi-dimensional shapes with negative curvature. The projects aim to advance understanding of rigidity and flexibility phenomena in the fundamental groups of real and complex...
- This $115,718 federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports advanced research into the algebraic and geometric properties of solutions to systems of polynomial equations. The primary goals of the project are to study the algebraic aspects of these solutions using non-archimedean geometry, investigate the complexity of curves within varieties of general type, and develop new non-archimedean...
- This federal Project Grant award in the amount of $177,469.00 was provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences Grant Program (CFDA #47.049). The award will support research into the geometry of moduli spaces from low-dimensional topology and applications, with a focus on three main directions: studying higher algebraic structures in instanton Floer homology, analyzing the properties of generalized Seiberg-Witten equations, and exploring the...
- The National Science Foundation awarded a $361,306 Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049) to the University of Maryland, College Park for research titled "Geometries of Topological Groups." The three-year award beginning September 1, 2023 will support the university's efforts to solve open questions regarding the geometrization of topological groups through mathematical problems combining logic, analysis and metric geometry. As part of the...
- This $204,372 federal Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) supports research on the potential theoretic aspects of complex geometry. The principal investigator will employ methods from potential theory, infinite-dimensional geometry, and geometric analysis to investigate a cluster of interconnected questions and conjectures in complex geometry. The project aims to advance scientific knowledge in this...
- This $280,000 Project Grant from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) will support research in birational geometry at New York University from April 2022 through March 2025. Specifically, the principal investigator will use methods from Galois cohomology of function fields, properties of algebraic cycles over non-algebraically closed fields, K-theory, and degeneration techniques to advance understanding of rationality and stable...
- This $300,000 National Science Foundation award under the Mathematical and Physical Sciences program (CFDA 47.049) supports research and education activities in the area of automorphic forms and exceptional algebraic structures at the University of California, San Diego from July 1, 2022 to June 30, 2027. The principal investigator will conduct three related research projects investigating half-integral weight modular forms on exceptional groups, modular forms on the exceptional group G2 with...
- 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...
- Federal Grant Award Summary The University of Oklahoma received a $279,960 Project Grant from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) for the period August 1, 2025 through July 31, 2028. The award supports research on singular foliations and invariant theory within differential geometry, focusing on the mathematical study of symmetry in manifolds and the interplay between algebraic invariant functions and geometric leaf structures. The project...
This National Science Foundation award under the Mathematical and Physical Sciences program (CFDA 47.049) provides $275,396 to the University of Oklahoma from August 1, 2023 through July 31, 2026. The funding supports research into the geometries and topologies of surfaces and graphs. Specifically, the award will advance understanding of how abstract algebraic groups manifest as symmetries of geometric spaces in one and two dimensions. Graduate students will gain research experience applying techniques from both algebra and geometry. This work aims to develop a Nielsen-Thurston theory for surfaces of infinite type, a major problem in the field. In addition, the award supports related research into the outer automorphism groups of free groups and their connections to mapping class groups.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $275.4k | 6/5/23 |