Project Grant 2604776
- 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...
- 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,...
- 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...
- 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 Division of Mathematical Sciences awarded the University of Connecticut $100,000 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop new mathematical methods addressing fundamental questions in Einstein's theory of general relativity. The recipient will investigate the existence, characterization, and stability of Einstein metrics through three research directions: establishing the existence and uniqueness of Bartnik...
- The National Science Foundation Division of Mathematical Sciences awarded Princeton University a $101,060 Project Grant under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) to support the research project "Geometric Analysis of Einstein Manifolds and Their Generalizations" from October 1, 2021 through May 31, 2022. Under this award, Princeton University researchers conducted mathematical and physical sciences research focused on geometric analysis of...
- This federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports fundamental research in differential equations and the geometry of manifolds. The award, totaling $223,343, will fund the principal investigator's work in three main areas: classification of gravitational instantons in 4 dimensions, understanding Gromov-Hausdorff limits of Einstein metrics in the collapsing case, and the study of higher-dimensional...
- The National Science Foundation Division of Mathematical Sciences awarded New Mexico State University $192,000 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop new equivariant homotopy theoretic tools for studying symmetries in geometric shapes through algebraic topology. The project expands the framework of Eulerian sequences—introduced under prior NSF support (DMS-2305016)—to construct equivariant Araki-Kudo-Dyer-Lashof operations on the...
- The National Science Foundation Division of Mathematical Sciences awarded Northeastern University $100,000 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to conduct research on microlocal analysis applied to singular geometric structures. The project develops analytic and geometric techniques to study singular spaces that arise naturally in mathematics and physics, with particular focus on gravitational instantons and constant curvature metrics with...
- The National Science Foundation awarded the Research Foundation of The City University of New York $117,892 on November 1, 2025, to support research on the geometry of mapping class groups and surface bundles under the Mathematical and Physical Sciences program (CFDA 47.049). The research develops combinatorial techniques for studying the geometry of mapping class groups and Teichmüller spaces—mathematical structures that describe how surfaces can twist and deform. The project runs through...
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 investigator will also train graduate students in mathematics and continue outreach to K-12 students, mentoring undergraduate researchers, and organizing workshops and conferences. The award covers a three-year period of performance from September 1, 2026, through August 31, 2029. Work is performed at Norman, Oklahoma. No sub-awards are planned. This award is issued under the Mathematical and Physical Sciences program (CFDA 47.049), which supports advancement of the mathematical and physical sciences to strengthen the Nation's scientific enterprise.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $132.0k | 7/28/26 |