Project Grant 2554027
- Federal Grant Award Summary The National Science Foundation (NSF) Division of Mathematical Sciences awarded $150,000 to the University of Chicago under the Mathematical and Physical Sciences program (CFDA 47.049) for a collaborative research project titled "Chromatic Homotopy Theory, Algebraic K-Theory, and Power Operations." The three-year project, initiated September 1, 2025, and concluding August 31, 2028, delivers fundamental mathematical research conducted in collaboration with...
- The National Science Foundation Division of Mathematical Sciences awarded the University of Illinois $119,999 on August 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to fund research in model theory and dynamics. The award supports theoretical mathematics research applying model theory—a branch of mathematical logic—to dynamical systems, including algebraic dynamical systems and differential equations. The project aims to extend model-theoretic techniques from...
- The National Science Foundation Division of Mathematical Sciences awarded The University of Chicago $106,020 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop a general framework for measure and topological rigidity in dynamical systems that extends beyond the classical homogeneous setting. The award funds research on random walks and related flows on manifolds exhibiting hyperbolic behavior, with investigation into the stationary and invariant...
- Federal Project Grant Award Summary The University of Chicago received a $145,000 project grant awarded July 15, 2025, by the National Science Foundation's Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049). The award funds fundamental research investigating the deep mathematical connections between algebraic K-theory of fields and multiple polylogarithms, with the project extending through June 30, 2027. The research aims to advance...
- This $150,000 Project Grant, awarded by the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049), supports fundamental mathematical research at the University of Chicago from September 15, 2025 through August 31, 2027. The award funds research into reflection groups, moduli spaces, and mapping class groups of 4-manifolds, with the primary objective of establishing connections between symmetries in different...
- The National Science Foundation Division of Mathematical Sciences awarded The University of Chicago $257,479 on July 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to support research in the geometric foundations of stochastic dynamics. The award funds four synergistic research directions: developing coarse graining techniques to unveil fractal structures in critical stochastic systems including two-dimensional stochastic heat flow and directed random polymers;...
- Federal Project Grant Award Summary The Division of Mathematical Sciences, National Science Foundation (NSF), awarded $119,999.00 to the University of Illinois (Chicago, IL) under the Mathematical and Physical Sciences program (CFDA 47.049) for a project grant effective June 15, 2025, with completion targeted for May 31, 2026. This award supports fundamental research applying model theory—a specialized area of mathematical logic—to three interconnected research objectives: (1) extending...
- 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...
- This Project Grant award from the National Science Foundation Division of Mathematical Sciences provides $497,614 in funding to the University of Chicago from September 1, 2022 to August 31, 2025. The award supports research into higher categorical structures in algebraic geometry under the NSF's Mathematical and Physical Sciences program (CFDA 47.049). Specifically, the funding will allow the University of Chicago researchers to pursue four main challenges applying recent developments in higher...
- The National Science Foundation Division of Mathematical Sciences awarded The University of Chicago $300,000 on August 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop theoretical understanding of extensions of Liouville quantum gravity (LQG). The project runs through July 31, 2029, with performance at the University of Chicago in Chicago, Illinois. Research activities focus on three directions: deeper understanding of the supercritical phase of LQG, which...
The National Science Foundation Division of Mathematical Sciences awarded The University of Chicago $150,000 on August 15, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to investigate simple theories and Keisler's order in model-theoretic classification theory. The project advances research into the properties of classes of mathematical structures with inherent randomness, including random graphs and hypergraphs, pseudofinite fields, extraspecial P-groups, and algebraically closed fields with an automorphism. The investigators have developed a new analytical tool called the canonical Boolean algebra and made recent progress on Keisler's order—a classification system that uses infinite averages to measure the saturation of regular ultrapowers—which reshapes understanding of this area. The award builds on prior NSF-funded results establishing that Keisler's order achieves the maximum number of classes within simple theories, enabling precise calibration of infinite averages to produce different theoretical outcomes. Work is performed in Chicago, Illinois, with a period of performance through July 31, 2029. The project is jointly conducted with a co-investigator supported by the Binational Science Foundation (BSF).
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $150.0k | 8/3/26 |