Project Grant 2451581
- 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...
- 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 $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 of $300,000.00 from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) will support research on quantitative symplectic geometry in higher dimensions. The principal investigator will develop new tools and paradigms to study the quantitative aspects of symplectic geometry, including initiating the study of digital symplectic geometry to link geometric methods with numerical simulations and machine learning. The award will...
- This federal Project Grant award of $150,000.00 from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) will support collaborative research at Temple University focused on the intersections of geometry, topology, and number theory. The principal investigator's work aims to produce new advancements in these mathematical fields, exploring the interplay between rigid geometric phenomena and topological flexibility, as well as connections to algebraic geometry...
- This $150,000 Project Grant award was provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The funding supports collaborative research combining ideas and techniques from several exciting areas of contemporary mathematical thought, including homotopy theory, algebraic K-theory, smooth manifolds, polyhedra, and knots. The project aims to develop new connections between these fields, with plans to classify important...
- This $100,000 Project Grant awarded by the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) aims to develop a deeper understanding of the topology and geometry of four-dimensional spaces. The research will explore similarities and differences among these spaces when equipped with additional geometric structures, such as smooth, symplectic, and complex structures, using a mix of mathematical methods. Key goals include constructing exotic...
- This $194,972 Project Grant award from the National Science Foundation's Mathematical and Physical Sciences (CFDA 47.049) program supports research at Emory University focused on addressing open problems in discrete geometry. The central aims are to study the covering and intersection properties of convex geometric objects and explore connections between discrete geometry and other mathematical fields. Key planned activities include mentoring undergraduate students, developing new mathematical...
- This federal Project Grant award of $117,892 from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research on the geometry of mapping class groups and surface bundles, which are fundamental concepts in mathematics. The research project, conducted by the Regents of the University of California at Riverside, aims to develop combinatorial techniques for studying the geometry of these mathematical objects. Additionally, the educational...
- This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) provides funding for a research project titled "Harmonic Analysis and Affine Isoperimetric Inequalities in Convex Geometry." The $121,788 award, effective August 15, 2025 through May 31, 2028, will support research on two types of mathematical problems: tomographic problems, which focus on retrieving information about geometric objects from limited data, and...
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 sets, plank coverings of spheres, the dual of the Komlos conjecture, and rainbow problems in combinatorics. The research integrates advanced mathematical techniques from combinatorics, optimization, and harmonic analysis, fostering interdisciplinary collaboration across mathematics, physics, and computer science. Additionally, the project aims to develop innovative curricula that blend theoretical and practical learning, preparing the next generation of mathematicians and scientists. The award period runs from September 1, 2025, to August 31, 2028.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $150.0k | 8/14/25 |