Project Grant 2553253
- The National Science Foundation Division of Physics awarded Duke University $450,000 on July 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop theoretical and computational tools for characterizing entanglement in many-body quantum systems operating in noisy experimental environments. The research leverages quantum field theory insights to advance practical understanding of scalable entanglement structures across multiple qubits and qudits, addressing a...
- The National Science Foundation Division of Mathematical Sciences awarded Duke University $505,185 on June 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop mathematical frameworks for analyzing spatio-temporal mRNA transport and organization in living cells using microscopy data. The project establishes rigorous mathematical theory and quantitative methods for interpreting complex experimental data on messenger RNA and protein dynamics, with emphasis on...
- This three-year, $260,000 project grant from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) supports research at Duke University on large deviations and extremes for random matrices, tensors, and fields. The grant aims to advance understanding of rare events and extreme values through analysis of nonlinear functions of random hypergraphs and matrices, with a focus on applications to social networks and reaction-diffusion systems modeling invasive...
- 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 Directorate for Mathematical and Physical Sciences awarded $160,000 to the University of California, Davis on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) for collaborative research on random matrices, algorithms, and large-scale computation. The project develops mathematical theory and practical tools to explain how randomness in data and algorithms combine to shape computational performance on large, realistic datasets....
- The National Science Foundation Division of Mathematical Sciences awarded the University of California, Los Angeles $145,000 on August 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop rigorous mathematical theory predicting localization and delocalization transitions in complex disordered quantum systems. The research focuses on non-mean-field random matrices and addresses fundamental questions about when electrons, waves, and other excitations remain...
- The National Science Foundation Division of Mathematical Sciences awarded Duke University $300,000 on August 15, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to conduct foundational research on small-scale creation and singularities in fluids and chemotaxis modeling. The project investigates fundamental questions in fluid mechanics, including singularity formation in solutions of two-dimensional incompressible Euler equations, small-scale structure emergence in...
- The National Science Foundation Division of Mathematical Sciences awarded Duke University $103,300 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to fund research into complex geometry and differential invariants of period maps in algebraic geometry. The recipient will conduct research on period maps, functions associated with families of geometric objects defined by polynomial equations, with applications to moduli problems in algebraic geometry. The...
- Federal Project Grant Award Summary The University of North Carolina at Chapel Hill received a $180,000 Project Grant from the National Science Foundation's Division of Mathematical Sciences (CFDA 47.049) effective July 1, 2025, through June 30, 2028. This award supports rigorous mathematical research investigating the Anderson transition in random matrix theory, a critical phenomenon in condensed matter physics describing the sharp transition from conducting to insulating behavior in disordered...
- The National Science Foundation Division of Mathematical Sciences awarded The University of Chicago $106,020 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop a general framework for measure and topological rigidity in dynamical systems that extends beyond the classical homogeneous setting. The award funds research on random walks and related flows on manifolds exhibiting hyperbolic behavior, with investigation into the stationary and invariant...
The National Science Foundation Division of Mathematical Sciences awarded Duke University $145,000 on August 15, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to study structured random matrices for quantum chaos and manifold learning. The project investigates classes of structured random matrices motivated by two application domains: quantum chaos theory, which examines whether random matrix statistics govern the behavior of quantum systems through eigenvalue repulsion and eigenvector delocalization in structured random Markov matrices associated with expander graphs and manifolds with curvature conditions; and manifold learning theory, which studies inner product kernel matrices formed from noisy data to understand when meaningful signals can be extracted from noisy measurements, such as in medical imaging. The research also enriches graduate and undergraduate student experience through research opportunities and course development. Performance is located in Durham, North Carolina. The award period runs through July 31, 2028. Duke University's Office of Research Administration Division is the administering division.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $145.0k | 8/4/26 |