Project Grant 2506250
- This $260,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research on geometric limits in low dimensional geometry and topology at Boston College. The key objectives of the project are to analyze the global topology of the "space of all hyperbolic manifolds" and study the relationship between the "rank" of closed hyperbolic 3-manifolds and their geometry. In addition to the research...
- 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...
- This National Science Foundation (NSF) award under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) provides $300,000.00 to support a research project on topology and dynamics on metric spaces. The primary objectives are to develop new notions of how chaotic systems expand and stretch in different directions, and to quantify the "butterfly effect" where small changes in initial conditions lead to dramatically different future outcomes. The project will advance...
- 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 $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...
- This Project Grant from the National Science Foundation Directorate for Mathematical and Physical Sciences, under the Mathematical and Physical Sciences federal grant program (CFDA 47.049), provides $122,662 to investigate several research questions in topology at Brooklyn College of the City University of New York from July 1, 2022 to June 30, 2024. Specifically, the award supports three projects exploring how properties of three-dimensional knots and manifolds can be represented by...
- 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: Developing tools for understanding curves in 3-space and surfaces in 4-space, including techniques like Floer...
- The Trustees of Princeton University received a $200,266 Project Grant award from the National Science Foundation Division of Mathematical Sciences. The grant falls under the NSF's Mathematical and Physical Sciences program (CFDA 47.049) to promote progress in these fields and enhance the Nation's scientific enterprise. The three-year award beginning July 1, 2021 will support research on Floer homology and immersed curve invariants in low dimensional topology conducted at Princeton University....
- 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 $150,000 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program to the Georgia Tech Research Corporation. The grant, awarded on September 15, 2025, will support a research project investigating important problems in quantum topology and its connections with classical topology and hyperbolic geometry. The project aims to advance the understanding of three- and four-dimensional topology and knot theory, which...
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 gauge theory and symplectic geometry to discover new features of 3- and 4-dimensional spaces. The project will also support the mathematical community through graduate student mentorship, seminar organization, and developing new problem lists in low-dimensional topology.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $149.8k | 7/17/25 |