Project Grant 2302520
- This $270,000 Project Grant award from the National Science Foundation (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports fundamental research in geometric representation theory and symplectic geometry at the University of California, Berkeley. The research aims to develop new tools and solve open problems in these mathematical fields, which draw inspiration from theoretical physics. Key research themes include investigating the cocenter of the affine Hecke category,...
- The National Science Foundation awarded a $201,000 Project Grant to the University of California, Berkeley under the Mathematical and Physical Sciences program (CFDA 47.049). The grant supports research in Diophantine geometry and arithmetic geometry, which study solutions to families of polynomial equations. Specifically, the principal investigator and collaborators will develop new frameworks to prove the irrationality of certain conjectured numbers through analysis of rational...
- The Regents of the University of California, doing business as the University of California, Berkeley, was awarded a $304,859 Project Grant from the National Science Foundation Division of Mathematical Sciences on July 15, 2021. The grant supports research titled "Shimura Varieties and Automorphic Forms with Arithmetic Applications" through June 30, 2024. The grant funds mathematical research into Shimura varieties and automorphic forms and their applications to number theory. This...
- The National Science Foundation awarded a $300,000 Project Grant to The Regents of the University of California for research titled "Combinatorics of Multivariate Orthogonal Polynomials" under the Mathematical and Physical Sciences program (CFDA 47.049). The three-year award running from July 1, 2021 to June 30, 2024 will support research into advancing the store of scientific knowledge and enhancing understanding of major problems in mathematics. Specifically, the University of...
- 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 $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 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) will support research to develop new tools for studying the geometry and dynamics of physical systems. Key research focus areas include: Investigating the existence and properties of periodic orbits in four-dimensional phase spaces with three-dimensional energy levels Studying the geometry of phase spaces to determine when dynamical systems are equivalent...
- The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $170,443 Project Grant to the University of Massachusetts Boston (UMass Boston) under the Mathematical and Physical Sciences program (CFDA 47.049). The grant supports research in "Critical Symplectic Geometry, Lagrangian Cobordisms, and Stable Homotopy Theory." The project aims to incorporate ideas from homotopy theory and category theory into symplectic geometry to prove structural results about...
- 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 University of California, San Diego will research classical, motivic and equivariant stable homotopy groups of spheres under a $264,138 Project Grant from the National Science Foundation (NSF) Division of Mathematical Sciences. The grant falls under the NSF's Mathematical and Physical Sciences program (CFDA 47.049), which aims to advance scientific knowledge and understanding in these fields. For three years ending July 2024, UCSD researchers will investigate fundamental structures in...
The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $200,000 Project Grant to the Regents of the University of California, doing business as the University of California, Berkeley. This grant is funded under the NSF's Mathematical and Physical Sciences program (CFDA 47.049), which aims to strengthen the nation's scientific enterprise through advances in mathematical and physical sciences. The grant supports the development of "homotopical methods in arithmetic geometry", applying techniques from homotopy theory to resolve outstanding questions in number theory. Key focus areas include derived Fourier analysis, cohomology operations in p-adic geometry, and combining algebraic K-theory with the study of Shimura varieties to better understand arithmetic group cohomology. The project also includes a significant component for supporting and training young researchers in these emerging interdisciplinary fields. The award period runs from August 1, 2023 to July 31, 2026.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $200.0k | 7/24/23 |