Project Grant 2404535
- This $204,372 federal Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) supports research on the potential theoretic aspects of complex geometry. The principal investigator will employ methods from potential theory, infinite-dimensional geometry, and geometric analysis to investigate a cluster of interconnected questions and conjectures in complex geometry. The project aims to advance scientific knowledge in this...
- This $350,000 federal Project Grant was awarded by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) program. The goal of the research is to develop accurate mathematical models and computer simulations for studying non-equilibrium systems with memory effects, such as those found in biosystems, plasma evolution, and solid-state nanostructures. The Principal Investigator will focus on analytical and numerical approaches to statistical transport...
- 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,...
- The National Science Foundation Division of Mathematical Sciences awarded a $311,427 project grant to the University of Chicago under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The three-year award, which runs from July 1, 2021 through June 30, 2024, will support research into the topology of automated motion planning. As part of the Mathematical and Physical Sciences program's goal of strengthening the nation's scientific enterprise through advancing...
- 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 $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...
- This federal Project Grant award for $300,000.00, provided by the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program, supports research to significantly expand the investigator's work on applications of model theory to the study of geometric structures. The key objectives are to: 1) tackle major transcendence problems such as the Ax-Lindemann-Weierstrass and Ax-Schanuel conjectures for uniformizing functions of geometric structures in higher...
- The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $400,000 Project Grant to New York University (NYU) for the period of August 1, 2023 to July 31, 2026. The grant, funded under the Mathematical and Physical Sciences program (CFDA 47.049), focuses on two key areas: Studying geometric evolution equations, specifically mean curvature flow and Ricci flow, with a focus on different aspects of regularity. This research aims to address longstanding open problems at the...
- This $183,897 federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research at the Massachusetts Institute of Technology (MIT) focused on curve counting beyond rational numbers. The project aims to develop new curve-counting invariants and methods to analyze symplectic manifolds, which are crucial mathematical objects for understanding physical phenomena like the movement of planets and particle behavior. The...
- 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 federal Project Grant, awarded by the National Science Foundation (NSF) Division of Mathematical Sciences on June 1, 2024, supports fundamental research across two key areas: billiard models and geometrical optics, and vehicle kinematics and tire track geometry. The project aims to address challenges in ray optics, mathematical billiards, and vehicle motion modeling, with potential applications in areas like light trapping, invisibility, laser beam shaping, tractor control, motion planning, and quantum circuit design. The research integrates mathematical methods from Hamiltonian dynamics, symplectic topology, and sub-Riemannian geometry. The award also contributes to the training of graduate researchers. This Project Grant aligns with the NSF Mathematical and Physical Sciences (CFDA 47.049) program, which supports innovative research to advance scientific knowledge and address national priorities in mathematical, physical, computational, and materials sciences.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $300.0k | 5/15/24 |