Project Grant 2609841
- This $300,000 Project Grant award was provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The grant supports a research project to develop new tools and paradigms for the study of quantitative symplectic geometry, an active area of research at the intersection of modern geometry and theoretical physics. Key components of the project include: (1) undertaking novel strategies for investigating higher-dimensional...
- This $100,000 federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) aims to develop a deeper understanding of four-dimensional spaces and their mathematical properties. The project will explore the topology, geometry, and algebraic structure of four-manifolds, surfaces, and mapping class groups using a mix of analytical, combinatorial, and algebraic methods. Key goals include constructing exotic smooth structures on...
- This $270,000 Project Grant award from the National Science Foundation (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports fundamental research in geometric representation theory and symplectic geometry at the University of California, Berkeley. The research aims to develop new tools and solve open problems in these mathematical fields, which draw inspiration from theoretical physics. Key research themes include investigating the cocenter of the affine Hecke category,...
- This $300,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) will support research to develop new tools for studying the geometry and dynamics of physical systems. Key research focus areas include: Investigating the existence and properties of periodic orbits in four-dimensional phase spaces with three-dimensional energy levels Studying the geometry of phase spaces to determine when dynamical systems are equivalent...
- This Project Grant from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) provides $452,656 to California State University Fresno Foundation to support research in low-dimensional topology from September 1, 2022 to August 31, 2025. The funding will advance understanding of link homology theories and other quantum invariants through construction and study of new Khovanov-type homology theories for classical and singular knots. It will also investigate...
- 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 Project Grant award of $154,019 was provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049). The award funds a research project at the University of California, Davis that focuses on studying contact and symplectic geometry, an area of mathematics with applications in modeling physical phenomena like optics and thermodynamics. The project develops new mathematical methods and diagrams to enable more efficient...
- This $142,565 Project Grant from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports research on the study of manifolds, or geometric objects, with positive or non-negative curvature. The principal investigator (PI) at James Madison University aims to construct new examples of such manifolds and develop new methods for proving rigidity theorems about their properties. The project also includes broader impact activities like outreach,...
- The National Science Foundation (NSF) Directorate for Mathematical and Physical Sciences awarded a $250,000 Project Grant to the California State University Long Beach Research Foundation. The grant, under CFDA Program 47.049 - Mathematical and Physical Sciences, will support a research project investigating the spectral geometry of Steklov eigenvalues. Specifically, the project will study generic properties of Steklov eigenvalues and eigenfunctions, investigate domain perturbations and...
- This $251,133 federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports collaborative research at the University of Southern California (USC) exploring the interactions between algebraic geometry and symplectic geometry. The project aims to develop new mathematical tools that bridge algebra and geometry, with a focus on advancing the understanding of multigraded commutative algebra, toric geometry, and homological...
This $126,819 Project Grant was awarded on December 15, 2025 by the National Science Foundation's (NSF) Directorate for Mathematical and Physical Sciences under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049). The grant supports fundamental research by the University Corporation, a nonprofit auxiliary organization affiliated with California State University, Northridge, to study the topology and dynamics of four-dimensional manifolds with symplectic structures. Key objectives include exploring whether results about braids and Dehn twists along Lagrangian spheres can be extended to more general four-manifolds, comparing symplectic and Kähler cones, solving the isotopy problem of certain Lagrangian submanifolds and symplectic surfaces, and investigating the dynamical properties of symplectic maps. The research will employ techniques such as surgery on Lefschetz fibrations, Gromov-Witten theory, almost complex inflation, and family Seiberg-Witten invariants. In addition, the grant supports outreach activities, mentoring programs, and career preparation workshops to increase participation of underrepresented minority students in STEM fields.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $126.8k | 12/22/25 |