Project Grant 2553163
- The National Science Foundation Division of Mathematical Sciences awarded $296,354 to the Regents of the University of California, doing business as University of California, Berkeley on July 1, 2026 under the Mathematical and Physical Sciences program (CFDA 47.049). The project develops quantum-inspired relaxation and embedding frameworks for scalable algorithms addressing high-dimensional scientific computing problems in quantum materials, molecular systems, statistical mechanics, imaging, and...
- The National Science Foundation Division of Mathematical Sciences awarded $145,000 to The Regents of the University of California, doing business as University of California, Berkeley, on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to investigate temperature and disorder chaos in Kardar-Parisi-Zhang (KPZ) models, level curves of random surfaces, and critical random geometry. The recipient will examine landscape complexity of disordered systems exhibiting...
- The National Science Foundation Division of Mathematical Sciences awarded the University of California, Berkeley $120,000 on August 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) for a project grant in model theory in algebra and geometry. The project applies model-theoretic techniques—originally developed in abstract first-order logic, including o-minimality and geometric stability theory—to analyze mathematical structures in both pure and applied contexts. The...
- The National Science Foundation Division of Mathematical Sciences awarded The Regents of the University of California, doing business as University of California, Berkeley, $300,000 on July 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to investigate strongly nonlinear dispersive flows and develop mathematical methods governing wave motion and interaction in complex environments. The project addresses fundamental mathematical principles underlying water waves in...
- The National Science Foundation Division of Mathematical Sciences awarded the University of California, Berkeley $100,000 on August 15, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop and apply the iterated true-stage method and topological game meta-theorem—tools from computable structure theory—to advance results in descriptive set theory. Both tools enable construction of continuous functions using information that lies high in the Borel hierarchy, bridging...
- Federal Grant Award Summary The National Science Foundation (NSF) Division of Mathematical Sciences awarded $160,000.00 to the University of California, Berkeley under the Mathematical and Physical Sciences (CFDA 47.049) program for research on scaled random dynamics in statistical mechanics. The award, effective September 1, 2025 through August 31, 2026, supports fundamental research investigating random scaling limits and dynamic enhancements of statistical mechanical systems. Key research...
- 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 the University of California, Berkeley $133,285 on June 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop theory and methodology for calibrated hypothesis testing in large-scale statistical inference. The research will extend calibrated inference methods beyond settings with independent p-values, combining empirical Bayes estimation with frequentist finite-sample guarantees to construct...
- The National Science Foundation Division of Mathematical Sciences awarded the University of California, Berkeley $180,000 on July 15, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop statistical and machine learning methods for analyzing multivariate, multi-replication point process data. The project develops three complementary classes of analytical models: generalized additive models for studying associations between scalar responses and high-dimensional...
The National Science Foundation Division of Mathematical Sciences awarded $145,000 to The Regents of the University of California, doing business as University of California, Berkeley, on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049). The project investigates edge phenomena in two-dimensional random systems, focusing on how large random systems organize themselves and exhibit universal behavior across seemingly unrelated mathematical structures. Research activities include studying shapes and fluctuations of arctic curves in lattice models of statistical mechanics, establishing characterizations and universality results for the Airy-beta line ensemble, and exploring how universal edge limits improve statistical inference in high-dimensional signal-plus-noise models. The work draws on methods from integrable probability, random matrix theory, algebraic combinatorics, and representation theory. The project delivers three complementary outputs. Research products include discovery of new universal laws governing fluctuations near boundaries in random systems and mathematical frameworks explaining shared edge behavior across distinct models. The project translates mathematical discoveries into statistical software for more reliable analysis of high-dimensional data, supporting applications in machine learning and artificial intelligence. Educational activities include mentoring students through research and simulation projects and developing accessible textbooks and instructional materials for this area of mathematics. Performance occurs at Berkeley, California. The period of performance runs from September 1, 2026, through August 31, 2028, with $145,000 obligated.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $145.0k | 8/4/26 |