Project Grant 2152488
- 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...
- This National Science Foundation project grant of $740,162 will fund collaborative research on extremal combinatorics and flag algebras from August 2022 through July 2025. The awardee is the University of Colorado Denver under the Mathematical and Physical Sciences program (CFDA 47.049). The research aims to resolve three prominent open questions in extremal combinatorics posed by Erdös, Turán, and Zarankiewicz using flag algebra techniques. The questions concern extremal hypergraph...
- The National Science Foundation Division of Mathematical Sciences awarded a $141,400 Project Grant to the University of Illinois under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The grant will support research into Galois structures and arithmetic statistics in number theory from August 15, 2022 to July 31, 2025. Specifically, the principal investigator and collaborators will modify non-abelian Cohen-Lenstra heuristics when the base field contains roots of unity;...
- 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...
- Federal Grant Award Summary The National Science Foundation's Division of Mathematical Sciences awarded a $210,000 Project Grant to the University of Illinois (Urbana, IL) under the Mathematical and Physical Sciences program (CFDA 47.049) for the period July 1, 2025 through June 30, 2028. The project, "Zilber's Trichotomy and Its Applications," delivers fundamental research services focused on advancing mathematical logic and its interdisciplinary applications. The primary research...
- This National Science Foundation (NSF) Mathematical and Physical Sciences (CFDA 47.049) Project Grant award of $327,441 to the University of Illinois will fund research focused on challenges at the intersection of harmonic analysis, number theory, and dispersive equations. The principal investigator (PI) plans to explore connections between diverse mathematical fields, including additive combinatorics, classical Fourier analysis, dispersive equations on tori, and ergodic theory. The funded...
- The National Science Foundation Division of Mathematical Sciences awarded a $240,670 Project Grant to the University of Illinois under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The grant will support research into elliptic cohomology, geometry, and physics from August 1, 2022 to July 31, 2025. Specifically, the University of Illinois researchers will leverage 2-equivariant elliptic cohomology to reduce key questions in the relationship between certain quantum...
- This $210,000 Project Grant awarded by the National Science Foundation Division of Mathematical Sciences under the CFDA Program 47.049 "Mathematical and Physical Sciences" will fund research in algebraic combinatorics and braid varieties. The project aims to use algebraic methods to produce new combinatorial results with applications in areas like cryptography, protein folding, high-energy physics, and quantum computing. Specifically, the funds will support exploring the use of braid...
- The National Science Foundation awarded a $400,000 Project Grant to the University of Illinois under the Mathematical and Physical Sciences program (CFDA 47.049) from June 15, 2022 to May 31, 2025. The grant supports research into singularities in positive and mixed characteristic commutative algebra, advancing theoretical understanding and shedding light on problems in related fields. The Principal Investigator will investigate properties of the dual F-signature limit in characteristic P >...
- Federal Project Grant Award Summary The National Science Foundation's Division of Mathematical Sciences awarded a $109,999 collaborative research project grant to the University of Illinois (Chicago, IL) effective August 1, 2025, through July 31, 2027, under the Mathematical and Physical Sciences program (CFDA 47.049). This project grant supports fundamental research in commutative algebra and algebraic geometry, with a specific focus on bridging singularities across different mathematical...
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 techniques. Researchers will study extremal hypergraph questions, finding maximum cuts in graphs with certain properties, and questions related to graph crossing numbers. The grant brings together expertise at three institutions to make concentrated efforts applying flag algebras and developing new methods to fully solve the open problems. A substantial number of students and early-career researchers will also be trained through the project.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $508.6k | 6/22/22 |