Project Grant 2603635
- This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program provides funding of $226,665 to the University of Virginia (UVA) for research focused on the geometric classification and topological properties of 4-dimensional manifolds. The objectives include examining the validity of 4-dimensional topological surgery theory, studying symmetries of 4-dimensional spaces, and developing new tools for distinguishing them. The project...
- 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 (NSF) awarded a $185,923 Project Grant under its Mathematical and Physical Sciences (CFDA 47.049) program to the Rector & Visitors of the University of Virginia (UVA) to conduct research in stable homotopy theory and its applications in algebra, topology, and geometry. The project aims to explore further applications of stable homotopy theory, including studying the stable stems and their connections to geometric topology, number theory, and algebraic...
- The National Science Foundation Division of Mathematical Sciences awarded the University of Maryland, College Park $232,791 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to support low-dimensional topology research focusing on the properties and symmetries of four-dimensional geometric objects using configuration spaces and gauge theory. The project runs through August 31, 2031, with performance at College Park, Maryland. Research encompasses three main...
- Federal Project Grant Award Summary The University of Virginia received a $180,000 Project Grant from the National Science Foundation's Division of Mathematical Sciences (CFDA 47.049) awarded on July 15, 2025, with completion targeted for June 30, 2027. This collaborative research initiative focuses on developing combinatorial methods for analyzing nonsymmetric Macdonald polynomials and their applications to Lie theory and symmetric function theory. The project will produce theoretical...
- The National Science Foundation Division of Mathematical Sciences awarded Virginia Commonwealth University $200,000 on August 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop mathematical analysis of nonlocal interaction models with applications in nuclear fission, triblock copolymers, and lipid bilayers. The project pursues three mathematical objectives: introducing a particle model to investigate nuclear fission dynamics numerically and deriving...
- 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 (NSF) Division of Mathematical Sciences awarded a $170,443 Project Grant to the University of Massachusetts Boston (UMass Boston) under the Mathematical and Physical Sciences program (CFDA 47.049). The grant supports research in "Critical Symplectic Geometry, Lagrangian Cobordisms, and Stable Homotopy Theory." The project aims to incorporate ideas from homotopy theory and category theory into symplectic geometry to prove structural results about...
- The National Science Foundation Division of Mathematical Sciences awarded Duke University $235,000 on August 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop new methods for the classification and moduli theory of K-trivial algebraic varieties, with a focus on Calabi-Yau varieties. The project pursues three complementary research directions using tools from the minimal model program, Hodge theory, and positive characteristic birational geometry, with the...
- The National Science Foundation Division of Mathematical Sciences awarded Massachusetts Institute of Technology $375,000 on August 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to conduct research in class field theory and arithmetic geometry. The principal investigator will study the construction of one-variable polynomial equations with commuting solution-set symmetries, a problem unsolved since the 19th century, and will investigate rational-coordinate points...
The National Science Foundation Division of Mathematical Sciences awarded the University of Virginia $100,000 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to support research on Kleinian groups, higher rank Lie groups, and the mapping class group. The project develops mathematical tools to describe how geometric shapes behave under transformation, with applications to pure geometry, physics, and computer science. The work spans the period of performance from September 1, 2026, through August 31, 2027, with performance at the University of Virginia's Charlottesville, Virginia campus. The award integrates research with community engagement and workforce development. Activities include hands-on research experiences for undergraduate students in the Math Experimental Lab, direct engagement with local high school students, and redesigned university courses employing active, team-based learning. The recipient leads the Mid-Atlantic Regional Math Alliance (MARMA), which supports early-career researchers, and continues development of the BRIDGE (Building Research Interconnections in Dynamics and Geometry) Conference Series to strengthen the U.S./North American network of researchers studying discrete subgroups of higher rank Lie groups.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $100.0k | 8/5/26 |