Project Grant 2452213
- This $150,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research on two open problems in algebraic combinatorics that intersect representation theory and algebraic geometry. The principal investigator and collaborators aim to use combinatorics to better understand these abstract mathematical objects in a more concrete way, with potential applications in mathematics, physics, and human-machine...
- This $150,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports fundamental research at Arizona State University (ASU) on challenging problems in discrete spherical geometry. The project explores intricate mathematical questions related to spheres, which have broad implications across fields such as data science, communications, and materials science. Key focus areas include equiangular lines, spherical two-distance...
- This three-year National Science Foundation Project Grant of $242,441 supports analytic and probabilistic methods research in geometric functional analysis at Carnegie Mellon University from June 2023 through May 2026. The award aims to advance understanding of existing methods and develop new approaches heavily involving probabilistic and analytic ideas to quantitatively study geometric properties of infinite dimensional linear spaces through their finite dimensional subspaces. Key research...
- This National Science Foundation (NSF) Project Grant award under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) will explore new ways to address complex mathematical problems by integrating advanced machine learning techniques with automated reasoning. The $418,035 grant awarded to Carnegie Mellon University will support a collaborative research effort between mathematicians and computer scientists to develop and evaluate new algorithms for solving three specific open...
- This Project Grant award for $180,000.00 from the National Science Foundation (NSF) Mathematical and Physical Sciences program supports research to better understand mathematical structures that are discrete, geometric, and algebraic in nature. The project, conducted by Carnegie Mellon University, aims to investigate optimal discrete objects that possess non-trivial algebro-geometric properties, with applications in areas like combinatorial geometry and locally decodable codes. Key activities...
- Carnegie Mellon University was awarded a $250,000 Project Grant from the National Science Foundation Division of Mathematical Sciences on July 1, 2021 to complete work by June 30, 2024. The grant supports research under the Mathematical and Physical Sciences program (CFDA 47.049), which aims to promote progress in these fields and strengthen the nation's scientific enterprise through increasing knowledge and enhancing understanding of major problems. Specifically, the university will conduct...
- 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...
- The National Science Foundation (NSF) awarded a $270,000 Project Grant to Carnegie Mellon University under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The 3-year grant, effective August 1, 2024, will support research to study the properties of random graphs and networks, including computational problems and algorithms associated with such complex structures. The principal investigator will examine topics such as matchings, Hamilton cycles, and spanning trees in...
- The National Science Foundation Division of Mathematical Sciences awarded a $210,000 Project Grant to Carnegie Mellon University from June 1, 2021 to May 31, 2024 under the Mathematical and Physical Sciences program (CFDA 47.049). The grant funds research on discrete random and pseudorandom structures. The Mathematical and Physical Sciences program aims to promote progress in these fields and strengthen the nation's scientific enterprise through increasing scientific knowledge and enhancing...
- 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 $150,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research at Carnegie Mellon University to advance the theoretical and applied frontiers at the intersection of probability, geometry, and combinatorics. The project focuses on three main research directions: 1) enabling efficient statistical inference for geometric probability distributions, 2) analyzing minimum lengths of combinatorial structures in geometric spaces, and 3) exploring competitive/online analogues of Radon's theorem for high-dimensional point sets. The research also involves a Research Experiences for Undergraduates (REU) component. This award reflects NSF's mission to support fundamental scientific investigation with potential for broader societal and technological impacts. The project period runs from August 15, 2025 to July 31, 2028.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $150.0k | 8/15/25 |