Project Grant 2452134
- This Project Grant award of $366,473 from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports research on "Forbidden Substructures in Graphs and Hypergraphs." The research aims to further develop extremal graph theory, with applications in computer science and information theory. Specific goals include extending the Turán function, making progress on the tree packing conjecture, and exploring connections between graph theory and...
- This Project Grant award, funded by the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049), provides $263,153 to the University of South Carolina to conduct research in arithmetic statistics and Fourier analysis. The research aims to explore connections between these fields, with a focus on developing coursework, hosting external speakers, and conducting outreach activities. Key research components include finite Fourier transform computations,...
- The University of Illinois was awarded a $295,490 Project Grant from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049) to study extremal problems related to paths and cycles in graphs and hypergraphs. The three-year award, issued on June 1, 2022, will support research into topics such as Turán-type problems on cycles and paths in graphs and ordered graphs; problems on different kinds of cycles and paths in...
- 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 Project Grant award from the National Science Foundation Division of Mathematical Sciences provides $108,795 to the University of South Carolina under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) from September 1, 2023 through August 31, 2026. The university will conduct collaborative research on derived categories in birational geometry, enumerative geometry, and non-commutative algebra. Key activities include investigating connections between derived...
- This three-year, $130,029 National Science Foundation project grant supports mathematical research on optimizing local graph conditions to force global structural properties. The awardee, University of South Florida, will investigate extremal combinatorics questions regarding graphs and directed graphs using probabilistic methods including the absorbing technique and regularity method. Graduate students will assist with research to support their professional development. Outcomes will further...
- 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...
- 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...
- This National Science Foundation (NSF) Project Grant award for $210,001, titled "LOCAL TO GLOBAL PHENOMENA IN EXTREMAL AND PROBABILISTIC COMBINATORICS", focuses on exploring the local-to-global principle across mathematics, computer science, and related fields. The key objectives are to investigate local-to-global phenomena in extremal and probabilistic combinatorics, with a specific focus on three central open problems in discrete mathematics. The research team, led by Princeton...
- This Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program provides funding for research on quantum analogues of low-complexity functions on the Hamming cube. The $171,227 award, effective June 15, 2025 through May 31, 2028, will be performed by the University of South Carolina. The goal is to extend classical Fourier analysis tools to the quantum setting, addressing challenges that arise when the dimension...
This Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) program provides $182,494 to the University of South Carolina to conduct research on extremal problems related to cycles and spanning structures in graphs and hypergraphs. The research will explore classical extremal problems for Hamiltonian cycles and related topics such as pancyclicity, long cycles, and other spanning substructures in graphs. The project will also study analogous problems for Berge cycles and other Berge structures in hypergraphs. This research has potential applications in areas such as operations research, circuit design, and optical network design. The award supports this research over a 3-year period from August 1, 2025 to July 31, 2028. No sub-awards are planned under this grant.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $182.5k | 7/30/25 |