Project Grant 2604015
- The National Science Foundation Division of Mathematical Sciences awarded William Marsh Rice University (Office of Sponsored Projects) one hundred thousand dollars on September 1, 2026, for collaborative research on atoroidal surface bundles under the Mathematical and Physical Sciences program (CFDA 47.049). The investigators will study the geometry, topology, and algebra of manifolds constructed from two-dimensional surface slices, with a focus on proving that these bundles admit Gromov...
- The University of Wisconsin-Madison received a $150,000 Project Grant award from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049) to support research on categorical invariants in non-commutative geometry from August 1, 2022 to July 31, 2025. Specifically, the Principal Investigator will expand the understanding of the role played by splittings of the non-commutative Hodge filtration in defining categorical...
- Federal Project Grant Award Summary The University of Wisconsin-Madison received a $200,000 Project Grant from the National Science Foundation's Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049) for the period July 1, 2025 through June 30, 2027. The project conducts fundamental mathematical research on growth and motion in random media, including first-passage percolation, corner growth models, and directed polymer models. The primary...
- This Project Grant from the National Science Foundation's Division of Mathematical Sciences provides $442,140 to the University of Wisconsin-Madison under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) from September 2022 through September 2025. The funding supports research into the geometry, topology, and dynamics of curves, surfaces, and three-manifolds through investigating the mapping class group of surfaces. Specifically, the principal investigator and...
- The National Science Foundation (NSF) awarded a $333,182 Project Grant through its Mathematical and Physical Sciences (CFDA 47.049) program to the University of Wisconsin - Madison. This grant supports research at the interface of several complex variables, differential geometry, and dynamical systems. The project aims to study the smoothness of transformations on complex-valued function domains, analyze resonance phenomena and singularities, and investigate the stability of holomorphic...
- The National Science Foundation Division of Mathematical Sciences awarded the University of Wisconsin–Madison $200,000 on June 15, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop Fourier analytic methods for counting rational points near geometric manifolds. The research applies harmonic analysis and homogeneous dynamics techniques to establish asymptotic formulas for the number of rational points with bounded denominators in close proximity to smooth...
- The National Science Foundation Division of Mathematical Sciences awarded the University of Wisconsin–Madison $241,200 on August 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop novel statistical learning and data embedding tools using spectral techniques rooted in matrix factorizations, truncations, and perturbations, with emphasis on robustness, inference, and modeling. The research program spans methodology, theory, and applications with interdisciplinary...
- The National Science Foundation Division of Mathematical Sciences awarded the University of Wisconsin–Madison $309,038 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop a unified mathematical framework connecting random matrices with prescribed margins, Schrödinger bridges, and optimal transport theory, with applications to generative AI for multimodal data. The project addresses the problem of inferring missing structure in systems where...
- Federal Project Grant Award Summary The National Science Foundation's Division of Mathematical Sciences awarded $303,694 to the University of Wisconsin-Madison on July 15, 2025, under the Mathematical and Physical Sciences program (CFDA 47.049) to support fundamental research in analysis and spectral theory through June 30, 2028. The project delivers rigorous mathematical analysis of models describing wave propagation phenomena in physics, including electromagnetic and acoustic waves, with...
- The University of Wisconsin-Madison received a $125,380 Project Grant award from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The grant supports research into algorithmic and computational questions in algebraic geometry and number theory as they relate to finiteness theorems. Specifically, the Principal Investigator will study algorithmic approaches to the Shafarevich conjecture determining...
The National Science Foundation Division of Mathematical Sciences awarded the University of Wisconsin - Madison $100,000 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to investigate atoroidal surface bundles and their geometric properties. The project examines manifolds constructed from two-dimensional surface slices, with the goal of demonstrating that certain newly discovered atoroidal surface bundles admit Gromov hyperbolicity—a mathematical structure that provides algorithmic tools for understanding them. The investigators recently proved the existence of closed atoroidal surface bundles over surfaces by constructing pseudo-Anosov surface subgroups and type-preserving representations of fundamental groups. The work encompasses study of the geometry, topology, and algebra of these bundles from multiple viewpoints and includes collaborative elements with external researchers. Broader impacts feature an active mentoring program for graduate students and early-career researchers, expository articles for general audiences, and conference organization. The principal investigators maintain involvement in outreach activities including public lectures and high school engagement aimed at attracting students to STEM disciplines. The award period runs through August 31, 2028, with performance at the University of Wisconsin - Madison campus in Madison, Wisconsin.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $100.0k | 8/7/26 |