Project Grant 2554272
- The National Science Foundation Division of Mathematical Sciences awarded $180,000 to the University of Oklahoma on August 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to support research into surface homeomorphisms and the geometry of surface deformations. The project develops Nielsen–Thurston-type structure theorems for homeomorphisms of infinite-type surfaces, extending prior work on tame and extra tame maps through invariant laminations, curve and line...
- This National Science Foundation award under the Mathematical and Physical Sciences program (CFDA 47.049) provides $275,396 to the University of Oklahoma from August 1, 2023 through July 31, 2026. The funding supports research into the geometries and topologies of surfaces and graphs. Specifically, the award will advance understanding of how abstract algebraic groups manifest as symmetries of geometric spaces in one and two dimensions. Graduate students will gain research experience applying...
- The National Science Foundation Division of Mathematical Sciences awarded the University of Oklahoma $132,000 in Project Grant funding on September 1, 2026, to support research on homogeneous Einstein spaces and the classification of non-compact homogeneous Einstein manifolds. The research develops algebraic invariants to characterize the existence of Einstein Riemannian metrics on these geometric spaces, combining tools from geometric invariant theory and geometric analysis. The principal...
- 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 Grant Award Summary The University of Oklahoma received a $279,960 Project Grant from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) for the period August 1, 2025 through July 31, 2028. The award supports research on singular foliations and invariant theory within differential geometry, focusing on the mathematical study of symmetry in manifolds and the interplay between algebraic invariant functions and geometric leaf structures. The project...
- The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $399,773 Project Grant to the University of Illinois, Urbana-Champaign to support research on the "Interactions Between Geometry, Topology, Number Theory, and Dynamics" from August 1, 2023 to July 31, 2026. The research aims to advance the understanding of topology and geometry and their connections to other areas of mathematics and computer science, including applications in data mining and engineering...
- This Project Grant award from the National Science Foundation's Division of Mathematical Sciences (CFDA 47.049 - Mathematical and Physical Sciences) provides $162,119.00 to the University of Oklahoma to fund research on quantum perspective in Banach and metric spaces. The project will focus on three main areas: 1) quantum graphs and other quantum metric spaces, with an emphasis on quantum expanders and the geometry of quantum metric spaces, 2) using quantum information theory tools to study...
- The National Science Foundation (NSF) Division of Mathematical Sciences awarded a 3-year, $309,585 Project Grant to The Ohio State University to conduct research in the field of hyperbolic dynamical systems, a branch of mathematics with applications in physics, chemistry, and engineering. The research project, titled "A Comprehensive Program in Rigidity," aims to investigate fundamental questions in hyperbolic dynamics, particularly focused on establishing stronger forms of...
- The National Science Foundation Division of Mathematical Sciences awarded Ball State University $125,349 on July 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to investigate mappings and flatness in non-smooth geometry. The project studies non-smooth functions, sets, and abstract geometries beyond classical Euclidean contexts, including fractal spaces. Research activities include analyzing how curves pass through non-smooth objects, decomposing them into simpler...
- 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 collaborative mathematical research conducted at Temple University from August 1, 2025 through July 31, 2027. The project delivers fundamental mathematical research and scholarship at the interface of geometry, topology, algebraic geometry, number theory, and dynamics, with particular emphasis on real and...
The National Science Foundation Division of Mathematical Sciences awarded the University of Oklahoma $174,805 on August 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to study the geometry and topology of moduli spaces in holomorphic dynamical systems. The project, performable in Norman, Oklahoma through July 31, 2029, develops pressure-type metrics for higher-dimensional holomorphic dynamical systems, analyzes metric completions of spaces of Blaschke products, relates polynomial-like tree spaces to tropical and non-Archimedean geometry, and examines polynomial shift loci using big mapping class groups. The work aims to discover new structures in moduli spaces of holomorphic dynamical systems and establish connections between complex dynamics, metric geometry, and low-dimensional topology. The project strengthens the STEM workforce through graduate mentoring, research seminars, regional workshops, course development, and outreach activities. No subawards are planned.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $174.8k | 7/27/26 |