Project Grant 2418796
Award Date
9/1/24
Completion Date
8/31/26
Dollars Obligated
$116K
Funding Federal Agency
Directorate for Mathematical and Physical Sciences
Awarding Federal Agency
Division of Mathematical Sciences
Federal Grant Program
47.049
Assistance Type
Project Grant
Place of Performance
Denton, TX 76205, USA
Similar Awards
This Project Grant award, valued at $162,076.00 and funded by the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences (CFDA 47.049) program, supports research at the Trustees of the University of Pennsylvania focused on linking algebraic and analytic approaches to studying the behavior of geometric spaces. Key objectives include extending foundational mathematical results known as "Serre's GAGA theorem" to the context of...
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...
This Project Grant award, valued at $249,971, was made by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (MPS) Federal Grant Program (CFDA 47.049). The award will support research by the University of North Texas to study the index of plane curves and the relationship between a combinatorial object and the index of a curve. The project aims to characterize certain plane curves with an index strictly greater than 1 and find bounds on the proportions of such...
This Project Grant award from the National Science Foundation (CFDA 47.049 - Mathematical and Physical Sciences) provided $153,842 to the Research Foundation of the City University of New York (RFCUNY) - Lehman College from September 1, 2023 to August 31, 2025. The grant supports research investigating the relationship between the geometry of curves defined by polynomial equations and the rate at which new solutions are found by augmenting beyond the rational numbers. The project also...
This Project Grant award for $210,000.00 from the National Science Foundation (NSF) Division of Mathematical Sciences supports research on the interplay between polylogarithms, cluster algebras, and hyperbolic geometry. The 3-year award, beginning August 15, 2024 and ending July 31, 2027, aims to investigate key conjectures, find new examples of hyperbolic manifolds, and compute invariants using cluster coordinates. The award will involve both graduate and undergraduate students, and continue...
This federal Project Grant award for $300,000.00, provided by the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program, supports research to significantly expand the investigator's work on applications of model theory to the study of geometric structures. The key objectives are to: 1) tackle major transcendence problems such as the Ax-Lindemann-Weierstrass and Ax-Schanuel conjectures for uniformizing functions of geometric structures in higher...
This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program provides $113,376 to Brown University to develop techniques for understanding the geometry of solutions to systems of polynomial equations. The research focuses on three main areas: 1) the natural stratification of the space of vector bundles on a curve, 2) the interpolation problem in other settings like homogeneous spaces, and 3) the rationality problem for...
This Project Grant award for $200,000 from the National Science Foundation's (NSF) Division of Mathematical Sciences Program (CFDA 47.049) will support research at Trustees of Boston University from September 1, 2024 through August 31, 2027. The research aims to explore three aspects of the arithmetic and geometry of curves: 1) explicitly describing models for solvable covers of the projective line over p-adic fields and extracting associated arithmetic invariants, 2) building new algorithms...
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...
This $105,981 project grant awarded by the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences (CFDA 47.049) program supports fundamental research at the intersection of number theory, representation theory, and geometry. The research aims to explore geometric techniques in representation theory, with a focus on connections between representations of reductive algebraic groups over local fields and geometric constructions like...