Project Grant 2501977
- This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) provides $111,427 to the University of Texas at Austin to study locally homogeneous geometric manifolds and their symmetry groups. The research aims to better understand special types of these mathematical objects, which have applications across mathematics and physics. The award will fund graduate student training and undergraduate research projects related to these...
- The National Science Foundation (NSF) awarded a $300,000 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) program to the University of Texas at Austin (UT Austin). The grant, with a period of performance from July 15, 2025 to June 30, 2028, will support UT Austin's research on "Large Systems of Interacting Particles and Waves and their Effective Equations." The project aims to advance mathematical models that connect large quantum systems of interacting...
- The National Science Foundation Division of Mathematical Sciences awarded a $379,925 project grant to the University of Texas at Austin for collaborative research on new challenges in the derivation and dynamics of quantum systems. This funding supports research activities from July 1, 2021 to June 30, 2024 under the Mathematical and Physical Sciences program (CFDA 47.049). The goal of the Mathematical and Physical Sciences program is to promote progress in mathematics and physics and strengthen...
- The University of Texas at Austin received a $183,837 Project Grant award from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049). The grant supports research investigating abstract structures in three and four dimensions using Floer homology to study geometric questions involving knots, surfaces, and manifolds. The Principal Investigator aims to expand the role of symmetry in Floer homology by exploring novel...
- This Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program will support research in the fields of algebra and representation theory, with connections to theoretical physics. The USD 281,548 award to Utah State University will fund three related research projects that aim to advance the mathematical understanding of quantum field theory in two and three dimensions. The research will develop new connections...
- The National Science Foundation (NSF) awarded a $655,882 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) program to the University of Texas at Austin. The grant, awarded on September 15, 2025 and running through August 31, 2028, supports a research project led by Professors Sean Roberts and Niels Damrauer, along with collaborators from the University of Sheffield in the United Kingdom. The project aims to investigate unique quantum states generated by singlet fission...
- The National Science Foundation (NSF) awarded a $222,459 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program to Texas A&M University-San Antonio. The grant, with a project period from January 1, 2026 to December 31, 2027, will support a study on the representation theory of Hermitian lattices. This research aims to deepen theoretical understanding of lattices and strengthen the cryptanalytic foundations of lattice-based post-quantum cryptography....
- This National Science Foundation (NSF) Project Grant award, under the Mathematical and Physical Sciences program (CFDA 47.049), will support research on the factorization and degeneration of chiral homology, a fundamental area of mathematics with applications in physics, engineering, and the arts. The $199,927 award to the University of Texas at Austin, spanning from August 2024 to July 2027, will fund research to understand how chiral homology, which encodes the symmetries of certain...
- The National Science Foundation awarded a $368,340 Project Grant to Texas A&M University under the Mathematical and Physical Sciences program (CFDA 47.049) for work on "Quantitative Operator K-Theory and Applications." The Principal Investigator and students will develop quantitative operator K-theory to investigate problems at the intersection of noncommutative geometry, classical geometry, topology, and mathematical physics. They will focus on applying quantitative operator...
- The National Science Foundation awarded a $249,460 project grant to Texas A&M University from July 1, 2021 to June 30, 2024 under the Mathematical and Physical Sciences program (CFDA 47.049). The university will research the geometry of graphs and Banach spaces over this three-year period. The Mathematical and Physical Sciences program aims to advance these fields and strengthen the nation's scientific enterprise through increased knowledge and understanding of major problems. This...
The National Science Foundation (NSF) awarded a $139,915 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program to the University of Texas at Austin. The grant supports research to develop a unified geometric approach to the study of unitary representations, which are mathematical representations of symmetry that arise in quantum mechanics. The research aims to combine the "orbit method" and "Hodge theory" approaches to provide new insights and potentially solve the long-standing problem of classifying unitary representations. This work has potential applications in number theory, signal processing, and theoretical physics. The project also provides research training opportunities for graduate students and is expected to be completed by July 31, 2027.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $139.9k | 7/17/25 |