Project Grant 2604245
- 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...
- 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;...
- 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 (NSF) awarded a $421,998 Project Grant to the University of Chicago to support research on minimal surfaces, which are important mathematical objects with applications in physics, material science, and other fields. The funding, provided under NSF's Mathematical and Physical Sciences program (CFDA 47.049), will allow the university to study the flexibility and rigidity of minimal surfaces in various geometric spaces. The project aims to deepen the understanding of...
- Federal Project Grant Award Summary The University of Chicago received a $137,633 Project Grant from the National Science Foundation's (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049) for the period of July 1, 2025 through June 30, 2028. The award supports fundamental mathematical research investigating the dynamics on moduli spaces of hyperbolic surfaces, focusing on strengthening connections between hyperbolic geometry and...
- 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...
- 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 Brown University $303,000 on August 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to support collaborative research on minimal surfaces and hypersurfaces in round spheres. The principal investigators will determine the index and nullity of minimal surface doublings in the round three-sphere and free boundary minimal surface doublings in the unit three-ball, with the goal of characterizing...
- The National Science Foundation Division of Mathematical Sciences awarded the University of Notre Dame $128,696 on December 15, 2025, under the Mathematical and Physical Sciences program (CFDA 47.049) to investigate the isoperimetric problem and group structures in geometric analysis. The project applies geometric measure theory to study how curvature influences solutions to geometric optimization problems—particularly which shapes enclose a given volume with minimal surface area. Research...
- The National Science Foundation Directorate for Mathematical and Physical Sciences awarded The University of Chicago $300,000 on August 15, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to conduct research on forward and inverse scattering problems in topological insulators and paraxial wave models. The project addresses two interconnected research areas. The first involves topological insulators—materials whose topological features enable unusual transport...
The National Science Foundation Division of Mathematical Sciences awarded The University of Chicago $104,700 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to conduct research on differential geometry and minimal surfaces. The project addresses problems in geometric reconstruction: determining the ambient metric on a 4-manifold from its area spectrum, finding infinitely many unstable minimal surfaces in 4-manifolds, and investigating the existence of unstable minimal laminations in gaps between stable minimal foliations. The research combines variational methods with integral geometry, harmonic maps theory, and adapted techniques from Aubry-Mather theory. Applications include mathematical models for medical imaging and geophysical exploration, and connections to quantum information science through reconstruction of bulk metrics from entanglement entropy measurements. The project includes mentoring of graduate students and postdoctoral researchers, and the principal investigator will continue organizing conferences and serving on editorial boards. Performance occurs in Chicago, Illinois, with a period of performance from September 1, 2026, through August 31, 2027.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $104.7k | 8/6/26 |