Project Grant 2505715
- This $300,000 Project Grant was awarded on July 1, 2025 by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The award will fund research on symmetries of Floer theoretic invariants and their applications to low-dimensional topology, specifically the study of 3- and 4-dimensional spaces and mathematical knots. The principal investigator (PI) and their team at Rutgers, The State University will explore open questions related to...
- The National Science Foundation (NSF) awarded a $149,826 Project Grant under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049) to Trustees of Boston College for the project "FLOER HOMOLOGY IN LOW-DIMENSIONAL TOPOLOGY." This 2-year project, running from August 1, 2025 to July 31, 2027, focuses on an area of mathematics called low-dimensional topology, which studies shapes and spaces in three and four dimensions. The research aims to unify various tools from...
- This federal Project Grant award in the amount of $177,469.00 was provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences Grant Program (CFDA #47.049). The award will support research into the geometry of moduli spaces from low-dimensional topology and applications, with a focus on three main directions: studying higher algebraic structures in instanton Floer homology, analyzing the properties of generalized Seiberg-Witten equations, and exploring the...
- This National Science Foundation Project Grant of $250,000 supports research into low-dimensional topology through July 2025. Funded under the Mathematical and Physical Sciences program (CFDA 47.049), the award to Duke University will advance understanding of fundamental questions in knot theory and 4-manifold topology. Specifically, the principal investigator will investigate knot concordance problems tied to the unique properties of 4-dimensional manifolds compared to higher dimensions....
- This $100,000 Project Grant awarded by the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) aims to develop a deeper understanding of the topology and geometry of four-dimensional spaces. The research will explore similarities and differences among these spaces when equipped with additional geometric structures, such as smooth, symplectic, and complex structures, using a mix of mathematical methods. Key goals include constructing exotic...
- This Project Grant award of $150,000.00 from the National Science Foundation's (NSF) Mathematical and Physical Sciences program supports research at the University of Chicago to address two key aspects of topology. The first goal is to use analytical methods to study quantitative aspects of topology, such as the number of handles necessary for manifold representatives of homology classes, and how this contrasts with prior work on the number of simplices or volume. The second aim is to apply this...
- The Trustees of Princeton University Office of Research and Project Administration, doing business as Princeton University, received a $370,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program. The award supports research to further develop Heegaard Floer homology, a topology invariant that can be used to study three- and four-dimensional phenomena in low-dimensional topology. The project aims to advance computational and...
- This National Science Foundation (NSF) Project Grant, awarded under the Mathematical and Physical Sciences program (CFDA 47.049), supports fundamental research in topology and the study of three-dimensional spaces. The $200,000 award to the Georgia Tech Research Corporation, an academic research institution, aims to use algebraic invariants and tools from Floer homology to characterize when high-dimensional spaces can be cut into triangles, as well as to study knots and surfaces. The principal...
- The National Science Foundation (NSF) awarded a $343,286 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) program to the University of Oregon. The three-year grant, starting on August 1, 2024, supports research on C*-algebras and dynamics beyond the Elliott classification program. The key objectives are to investigate when simple C*-algebras, a type of mathematical object with applications in quantum mechanics, are isomorphic to their opposite algebras. The project aims...
- The National Science Foundation awarded a $279,210 Project Grant to the University of Oregon from August 1, 2021 through July 31, 2024 under the Mathematical and Physical Sciences program (CFDA 47.049). The grant funds research on the dynamics and operator algebras beyond the Elliott classification through the delivery of mathematical and scientific knowledge. Most of the funding will support advancing understanding of major problems in mathematics, with the University of Oregon serving as a...
The National Science Foundation (NSF) awarded a $150,000 Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049) to the University of Oregon. The grant supports research on "Refined Invariants in Low-Dimensional Topology" and will be performed from August 1, 2025 to July 31, 2027. The key products and services to be delivered under this grant include: This fundamental research aims to enhance the mathematical and scientific knowledge in low-dimensional topology, with potential broader impacts on fields like engineering and materials science that deal with curves and surfaces in higher dimensions.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $150.0k | 7/30/25 |