Project Grant 2453251
- This $473,736 National Science Foundation project grant under the Mathematical and Physical Sciences program (CFDA 47.049) will fund research into the role of symmetry and convexity in isoperimetric-type geometric questions in high dimensions, with potential applications in learning theory and other fields. Principal investigator at Georgia Tech Research Corporation will supervise postdocs, students, and organize seminars to investigate asymptotic geometry questions like the behavior of large...
- 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 $240,914 from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research on algebraic geometry and its applications. The project, led by Georgia Tech Research Corporation, focuses on developing new techniques and moduli theories for studying higher-dimensional algebraic varieties, particularly leveraging the concept of K-stability to construct moduli spaces for Fano varieties and Calabi-Yau manifolds. The...
- The Georgia Tech Research Corporation was awarded a $315,000 Project Grant from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) to conduct research on curves and surfaces in geometry. Over the two-year period from May 2022 to April 2025, the Principal Investigator and collaborators will engage in a range of activities to advance fundamental open questions in the geometry of curves and surfaces,...
- The National Science Foundation awarded a $400,134 Project Grant to the Georgia Tech Research Corporation from the Mathematical and Physical Sciences program (CFDA 47.049) to conduct research in discrete harmonic analysis. Specifically, the awardee will analyze averages over prime numbers in abstract number field settings to gain new insights into traditionally evasive questions about prime numbers and the Goldbach conjecture. A range of questions concerning averages over prime numbers and...
- 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 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports fundamental and applied research in asymptotic geometric analysis and affine convex geometry. The $149,983 award to Case Western Reserve University will fund research focused on understanding high-dimensional convex objects and their applications in fields such as physics, biology, computer science, optimization, and materials science. Key aspects of the...
- This $150,000 Project Grant awarded by the National Science Foundation's (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049) supports research on structural techniques for dense classes of graphs. The project, led by the Georgia Tech Research Corporation, will focus on developing a comprehensive understanding of graph structure, specifically by studying classes with a forbidden vertex-minor or a dependent first-order theory....
- 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 $200,000 Project Grant was awarded by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The award supports a collaborative research project to develop novel mathematical theories and computational methods for efficiently solving high-dimensional partial differential equations (PDEs) and learning solution operators using deep neural network-based approaches. The key objectives are to: 1) propose a supervised learning...
This $253,498 Project Grant from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research on analysis and geometric measure theory, with a focus on developing new techniques to better understand rectifiability in non-Euclidean geometries relevant to physics and computer science. The award also aims to characterize uncertainty principles and sampling theory, with applications to medical imaging, wireless communication, and random systems analysis. Delivered through a collaborative research environment involving undergraduate and graduate students, the project is expected to advance mathematical understanding and train future scientists in disciplines supporting developments in engineering, technology, and the natural sciences. The award is held by the Georgia Tech Research Corporation, a non-profit research organization and state institution of higher education associated with the Georgia Institute of Technology.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $253.5k | 7/28/25 |