Project Grant 2510166
- This $390,000 National Science Foundation project grant supports research into branching processes, random partial differential equations, and their applications from September 2022 through August 2025. Funded through the Mathematical and Physical Sciences program (CFDA 47.049), this award to Stanford University will advance tools and understanding of the connections between branching processes and nonlinear parabolic equations. Specifically, researchers will study branching Brownian motion in...
- This $293,784 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports fundamental and applied research on fluctuating systems, random environments, and stochastic algorithms. The research aims to improve understanding and exploitation of randomness across diverse settings, including materials science, fluid dynamics, and machine learning. Key areas of focus include stochastic homogenization, stochastic partial...
- The National Science Foundation Division of Mathematical Sciences awarded The Leland Stanford Junior University $611,138 under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) from July 1, 2023 to June 30, 2026. The Project Grant funding will support research developing and applying methods in microlocal analysis to problems involving wave propagation, inverse problems determining material structure from surface measurements, and imaging through cosmic background...
- This National Science Foundation (NSF) Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049) will provide $295,000 to the University of California, San Diego (UCSD) from August 1, 2024 to July 31, 2027. The grant will support research focused on developing a broad theoretical framework and general scaling limit theory for high-dimensional stochastic differential equations. The research aims to advance the understanding of how the behavior of systems described by...
- This Project Grant from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) provides $193,202 to Columbia University from August 15, 2022 through July 31, 2025. The funding will support research investigating long-time behavior and large population limits of stochastic processes with random times. Specifically, the university will develop mathematical and computational tools to analyze complex interacting systems, with a focus on stochastic models involving...
- This Project Grant award of $350,000 from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) will support research to develop new mathematical frameworks and solution algorithms for large-scale stochastic models across a range of application areas. The project will investigate geometric principles and strategies for effectively incorporating randomness into model representations and algorithm design, with a focus on solving equilibrium problems in...
- This $300,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research into new theoretical approaches for understanding large systems of interacting particles, known as many-particle or many-body systems. The research aims to develop more accurate representations of these complex systems, which arise in diverse applications such as biosciences, physics, and fluid mechanics. The principal investigator will focus...
- This Project Grant award of $150,000.00 from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research into the asymptotic behavior of partial differential equations (PDEs) across a range of scientific applications. The Principal Investigator (PI) will investigate long-term propagation and front structure in reaction-diffusion equations, analyze limits of stochastic PDEs in physical systems, and study the effects of viscosity on shock...
- The National Science Foundation (NSF) awarded a $150,000 Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049) to The Leland Stanford Junior University (Stanford University) to construct a rigorous framework for timelike Liouville theory, a theory of quantum gravity. The 1-year project, running from September 1, 2025 to August 31, 2026, aims to develop an extension of probability theory that can accommodate Gaussian distributions with negative variance and apply this...
- The National Science Foundation (NSF) awarded a $225,000 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) program to The Leland Stanford Junior University. The 3-year grant, effective July 1, 2024, aims to gain a deeper theoretical understanding of the statistical properties of neural networks, which have revolutionized science and engineering. Key research directions include studying the distinguishing features of deep neural networks compared to classical statistical...
This $300,000 Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) program supports research on branching processes, partial differential equations, and their applications to knowledge diffusion and dynamics in heterogeneous and random environments. The research aims to advance theoretical and practical understanding of modeling systems influenced by randomness and heterogeneity, with applications spanning the physical sciences, macroeconomics, and machine learning. Key focus areas include the connection between branching processes, mean field games, and knowledge diffusion in macroeconomic models; the mathematical foundations of diffusion models in machine learning; and the long-time behavior of reaction-diffusion equation systems. The grant, awarded to The Leland Stanford Junior University, will contribute to the training and development of junior researchers in these active areas of applied mathematics research. The project period runs from September 1, 2025 through August 31, 2028.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $300.0k | 8/8/25 |