Project Grant 2452408
- This $153,999 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences Federal Grant Program supports fundamental research in harmonic analysis and related fields of complex variables and non-homogeneous settings. The research examines questions in harmonic analysis, a major branch of mathematical analysis, with a focus on developing novel techniques and applying them to problems in complex analysis and operator theory. The award also includes a...
- This federal Project Grant award for $216,509, provided by the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049), supports fundamental research in harmonic analysis. The award aims to advance work on the Hilbert transform and related operators, building connections between the Bellman function method and sparse operator domination approaches in modern harmonic analysis. Key activities include addressing open problems on the dyadic square function,...
- This Project Grant award of $338,955 from the National Science Foundation's (NSF) Mathematical and Physical Sciences program supports fundamental research in the field of harmonic analysis. The research aims to advance the understanding of singular integral operators in non-homogeneous environments, which has applications in probability theory, physics, engineering, and medicine. Specific areas of focus include studying singular integrals with matrix weights, singular integrals on graphs with...
- 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 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 $140,000 project grant awarded by the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) will develop new techniques in the study of harmonics and their applications to the structure of prime numbers. The research will focus on improving the understanding of p-adic geometry and its connections to automorphic forms, which have important applications in signal processing and cryptography. The project will provide training opportunities for...
- This $200,000 Project Grant awarded by the National Science Foundation (NSF) under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049) supports research on linear partial differential equations in settings with singular spaces, such as wave propagation in discontinuous media. The principal investigator at Northwestern University will investigate fundamental questions regarding the behavior of wavefunctions in quantum mechanics and acoustic waves in media with non-smooth...
- This federal Project Grant award of $190,000.00 was made by the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) to support a postdoctoral research fellowship. The fellowship titled "Geometry and Analysis of Higher Rank Buildings and Symmetric Spaces" will be hosted at Sorbonne University under the mentorship of Sponsoring Scientist Farrell Brumley. The award period is from October 1, 2025 to September 30, 2029. The project aims to...
- 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) awarded a $310,000 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) program to The Washington University's Office of Sponsored Research Services Division. The grant supports fundamental mathematical research at the intersection of analytic function theory, harmonic analysis, and operator theory. The proposed work aims to leverage "testing theorems" to address open questions in these areas, which have applications in...
This federal Project Grant award, valued at $200,000.00, was provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049). The award funds collaborative research on non-homogeneous harmonic analysis, focused on matrix weights, Banach space valued Calderón–Zygmund operators, and singular integrals on graphs with cycles. The research aims to advance the mathematical understanding of various types of waves, which have broad applications in probability theory, physics, engineering, and medicine. The work will also serve as a training ground for graduate students and young researchers. No sub-awards are planned under this grant. The project period runs from September 1, 2025 to August 31, 2028.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $200.0k | 8/6/25 |