Project Grant 2606484
- The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $600,000 Project Grant to Carnegie Mellon University (CMU) under the Mathematical and Physical Sciences program (CFDA 47.049). The grant supports a 3-year research project focused on developing rigorous statistical methods for Optimal Transport, a mathematical technique used to combine data from different scientific domains and mitigate unintended biases in algorithms. The project has three main thrusts: 1)...
- The National Science Foundation Division of Physics awarded the University of California, Los Angeles $480,000 on August 15, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to support research in quantum field theory, quantum gravity, and string theory. The award funds research activities of Professors Eric D'Hoker, Michael Gutperle, and Per Kraus focused on scattering amplitudes—the mathematical structures and methods underlying particle and string collisions. The...
- The National Science Foundation Division of Materials Research awarded a $533,000 Project Grant to the University of California, Santa Barbara for research into quantum phenomena in solids. The three-year award, running from September 2021 through August 2024, will fund investigation into major problems confronting the Nation through advancement of the mathematical and physical sciences under the Mathematical and Physical Sciences program (CFDA 47.049). As the prime awardee, UC Santa Barbara...
- The National Science Foundation Division of Mathematical Sciences awarded the University of California, Santa Cruz $210,000 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049). The award funds research on symplectic dynamics in higher dimensions and Floer theory, focusing on the study of periodic orbits and topological entropy in Hamiltonian dynamical systems. The research will develop new methods incorporating topological data analysis to extract...
- This National Science Foundation Project Grant of $315,519 supports research at the University of California, Los Angeles from July 2022 to June 2025 under the Mathematical and Physical Sciences program (CFDA 47.049). The award funds research investigating challenging problems in optimal transport theory and its applications in fields including partial differential equations, geometry, probability, and machine learning. Key areas of focus include developing the theory to analyze games with large...
- The National Science Foundation Division of Mathematical Sciences awarded the University of California, Los Angeles $200,000 on July 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to conduct mathematical research on interactions of Fourier restriction with fractal geometry and number theory. The investigator uses harmonic analysis tools to understand refined behavior of the Fourier transform under special geometric conditions relevant to applications including the...
- The National Science Foundation Division of Mathematical Sciences awarded $200,000 to the University of California Santa Cruz on August 15, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop new mathematical tools for solving inverse problems in reconstructive integral geometry. The award supports research on complex-analytic and complex-geometric methods for X-ray transforms and related integral-geometric inverse problems, with application to medical imaging...
- 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 $200,000 to Columbia University on August 15, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop applied mathematics in optimal transport and market microstructure. The project investigates regularization methods for entropically regularized optimal transport, focusing on the Kantorovich-Wasserstein distance and the entropic selection conjecture. Researchers will derive second-order...
- 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 the University of California, Santa Barbara $200,000 on August 15, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to support research in optimal transport theory applied to particle physics and quantum information science. The research develops computationally efficient methods with rigorous mathematical guarantees to address two core problems: data unfolding, the removal of noise and artifacts from measurements so denoised data can be compared with experiments, simulations, and theoretical predictions; and exact renormalization group calculations across scales in quantum field theory. The investigator will apply optimal transport tools to jet substructure unfolding of Large Hadron Collider measurements as a primary application. The project integrates training opportunities for undergraduate students, graduate students, and postdoctoral scholars. Performance occurs at Santa Barbara, California, with a period of performance through July 31, 2028. The award is classified as a Project Grant, an assistance type.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $200.0k | 8/5/26 |