Project Grant 2440719
Award Date
7/15/25
Completion Date
6/30/30
Dollars Obligated
$250K
Funding Federal Agency
Directorate for Mathematical and Physical Sciences
Awarding Federal Agency
Division of Mathematical Sciences
Awardee
Brown University (E3FDXZ6TBHW3)
Federal Grant Program
47.049
Assistance Type
Project Grant
Place of Performance
Providence, RI 02912, USA
Similar Awards
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 varieties...
This Project Grant award, valued at $250,000.00, was provided by the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program to Brown University. The primary focus of this 3-year project is to conduct research in the areas of moduli theory and birational geometry within the field of algebraic geometry, which has important applications in coding, industrial control, computation, and theoretical physics. Key research activities include studying the...
This three-year Project Grant from the National Science Foundation's Mathematical and Physical Sciences program, totaling $210,000, will support research into the geometry and arithmetic of Brill-Noether loci and curves. Specifically, the award recipient, Brown University, will initiate an arithmetic Brill-Noether theory program to elucidate the structure of rational points on Brill-Noether loci in the Picard variety of a curve, with applications to determining low degree points on curves...
This $150,000 federal Project Grant award from the National Science Foundation (CFDA 47.049 - Mathematical and Physical Sciences) to Brown University supports research on compactifications of moduli spaces and their tropicalizations within the field of algebraic geometry. The research program will develop and employ modern techniques to make new progress on the study of moduli spaces, which are parameter spaces for certain geometric objects with deep connections to mathematics, physics, and...
This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences Program (CFDA 47.049) will provide $200,000 to Brown University from July 2025 to June 2028 to support the Principal Investigator's research in geometry and dynamical systems. The research aims to address long-standing mathematical conjectures, such as proving the optimality of the Hennessey-Neinhaus construction for embedding paper Möbius bands and the convergence of aspect ratio...
Brown University will receive $224,838 under a three-year Project Grant from the National Science Foundation Division of Mathematical Sciences to study the geometry of algebraic curves. Specifically, the grant will support research into questions such as the interpolation of curves through general point configurations, the structure of curve equations and their Betti tables, natural vector bundles that control curve deformation, and the integral intersection theory of moduli spaces of curves....
This Project Grant award, valued at $220,000.00, 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 Brown University to study variational methods in singular geometry, with applications to phenomena like classical mechanics, geodesics, and harmonic maps. The project aims to develop new analytical techniques to investigate the properties of solutions to non-linear elliptic PDEs, and...
This Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) will support fundamental research by Brigham Young University in the field of algebraic geometry. The key goals of the $125,000 award, with a performance period from July 15, 2025 to June 30, 2027, are to: Understand the motivic Euler characteristic, a crucial algebraic geometry invariant, for Hilbert schemes of K3 surfaces, including characterizing its...
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 includes...
Brown University was awarded a $331,275 Project Grant from the National Science Foundation Division of Mathematical Sciences on September 1, 2021, with a completion date of July 31, 2023. The award is part of the NSF's Mathematical and Physical Sciences program (CFDA 47.049), which aims to promote progress in these fields and strengthen the nation's scientific enterprise. Under this award, Brown University will research the existence and regularity of solutions to variational problems in...