Project Grant 2506409
- 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...
- 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 federal Project Grant award, valued at $150,000.00, was provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The award supports research by Yale University to explore connections between foliations, flows, dynamics, and hyperbolic geometry in low-dimensional settings. Key objectives include advancing the understanding of the intricate relationships between geometry and dynamics, particularly in surface and 3D...
- The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $110,000 Project Grant to the University of Kansas Center for Research Inc. to study the singularities of algebraic varieties and develop methods to precisely quantify the complexity of polynomial systems through the use of invariants. This 3-year grant, which runs from September 1, 2023 to August 31, 2026, will train graduate students in technical mathematical research, implementation of results using...
- 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 $201,798 Project Grant was awarded by the National Science Foundation (NSF) through its Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The award will support the Principal Investigator's research on applying new techniques in algebraic geometry to study the geometry of solution sets to systems of polynomial equations. The research will focus on three main directions: cohomology of moduli spaces of stable and smooth curves, and conjectures related to hypersurface...
- This $198,560 federal Project Grant award from the National Science Foundation's (NSF) Division of Mathematical Sciences, under the Mathematical and Physical Sciences (CFDA 47.049) program, supports fundamental research to better understand the relationship between taut foliations and pseudo-Anosov flows in 3-manifolds. The research aims to leverage this relationship to improve the understanding of the Thurston norm, a mathematical concept in 3-dimensional geometry and topology. The project,...
- The National Science Foundation (NSF) awarded a $149,999 Project Grant under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049) to the Research Foundation for the State University of New York (RF SUNY) to conduct collaborative research on the intersection of homotopy theory, algebraic K-theory, smooth manifolds, polyhedra, and knots. The research aims to develop powerful connections between these mathematical fields, including classifying important geometric objects,...
- 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...
- 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...
The National Science Foundation (NSF) awarded a $279,960 Project Grant under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049) to the University of Oklahoma (OU) for the project "Singular Foliations and Invariant Theory". This 3-year grant, awarded on August 1, 2025, supports research focused on the interplay between the geometric study of manifold symmetries (foliations) and the algebraic study of invariant functions. Key objectives include advancing fundamental knowledge in differential geometry, providing new mathematical proofs for classical results, and continuing OU's outreach and training efforts for high school students, undergraduates, and graduate students. The project leverages OU's expertise across scientific domains to explore applications of foliation theory to problems in invariant theory and submanifold theory.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $280.0k | 7/23/25 |