Project Grant 2554129
- This Project Grant from the National Science Foundation's Division of Mathematical Sciences provides $1,022,898 to Iowa State University under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) from August 1, 2022 to July 31, 2025. The funding supports collaborative research to resolve three prominent types of open questions in extremal combinatorics using flag algebra techniques. Specifically, the investigators and supported students will study extremal hypergraph...
- The National Science Foundation Division of Mathematical Sciences awarded Iowa State University of Science and Technology $150,000 on August 1, 2026, for pure mathematics research in neostability and continuous logic under the Mathematical and Physical Sciences program (CFDA 47.049). The award funds research applying model theory—specifically stability and neostability theory—to improve the reliability of computer programming, numerical analysis, control theory, and robotics. The project focuses...
- The National Science Foundation Division of Mathematical Sciences awarded Iowa State University of Science and Technology $239,160 on August 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop equivariant analysis—a mathematical framework for constructing analytic theorems and objects without designating an arbitrary origin or basepoint. The project, titled "CAREER: Equivariant Analysis at the Crossroads of Descriptive Set Theory, Dynamical Systems, and...
- The National Science Foundation Division of Mathematical Sciences awarded Iowa State University of Science and Technology $200,000 on August 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop matrix-free computational methods for large-scale spatial analysis. The project will create scalable computational tools for spatial prediction, inference, uncertainty quantification, and model evaluation that avoid forming large dense matrices, addressing the...
- The National Science Foundation Division of Materials Research awarded Iowa State University of Science and Technology $720,059 on August 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to investigate how controlled disorder, mechanical strain, and chemical composition tune the balance between coexisting charge-density-wave order and superconductivity in quantum materials. The research examines the interplay between these competing electronic phases across phase...
- The National Science Foundation Division of Mathematical Sciences awarded North Dakota State University $200,000 on August 15, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to conduct research in dynamical algebraic combinatorics and webs through July 31, 2029. The research extends recent work on rotation-invariant SL4-web bases—a discovery sought for nearly 30 years—toward developing an SL5-web basis with applications to arbitrary-rank solutions. The project...
- Federal Project Grant Award Summary Iowa State University of Science and Technology received a $200,000 Project Grant award from the National Science Foundation's Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049), effective August 1, 2025 through July 31, 2028. This collaborative research project will develop model-free statistical methodology and resampling techniques for analyzing complex data without requiring stringent assumptions about...
- The National Science Foundation Division of Mathematical Sciences awarded a $1,017,190 Project Grant to the University of Illinois under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The grant will support collaborative research on extremal combinatorics and flag algebras from August 1, 2022 to July 31, 2025. Specifically, the grant aims to resolve three prominent open questions in extremal combinatorics posed by Erdős, Turán, and Zarankiewicz using flag algebra...
- This Project Grant award from the National Science Foundation (CFDA 47.049 - Mathematical and Physical Sciences) supports fundamental research in commutative algebra and the study of Koszul algebras. The $277,690 award to Iowa State University, effective September 1, 2024 through August 31, 2027, will fund research on free resolutions and Koszul algebras, with applications in areas such as geometry, combinatorics, and hyperplane arrangements. Key activities include classifying new Koszul algebra...
- The National Science Foundation Division of Mathematical Sciences awarded $180,000 to the University of Illinois at Chicago on July 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to fund theoretical research in extremal graph and hypergraph theory and Ramsey theory. The recipient will develop theory on networks and families of finite sets, focusing on how local constraints affect global structure. Research activities include investigation of the supersaturation...
The National Science Foundation Division of Mathematical Sciences awarded Iowa State University of Science and Technology $150,000 on August 15, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) for collaborative research extending flag algebra and semidefinite programming methods in extremal combinatorics. The research advances Razborov's flag algebra framework by developing new techniques to solve longstanding open problems in graphs, hypergraphs, permutations, oriented graphs, point sets, embedded graphs, and phylogenetic trees. The principal investigators will extend the method to new models, further develop stability methods for extremal constructions with iterative structure, refine blow-up techniques connecting local graph structure with graph limits, and adapt flag algebra approaches for small graphs. The work draws on tools from linear and nonlinear programming to obtain exact results. The research team plans to involve graduate students at their institution and from other schools through annual workshops co-organized by the principal investigators. Place of performance is Ames, Iowa. The period of performance runs from the award date through July 31, 2029. No sub-awards are planned.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $150.0k | 8/11/26 |