Project Grant 2454103
- This National Science Foundation (NSF) Project Grant award for $155,000 supports research and education activities at Utah State University in the field of representation theory and its applications to theoretical physics. The project, which runs from September 1, 2023 to August 31, 2026, involves three related research initiatives: Developing a theory of real equivariant matrix factorizations and applying it to study Landau-Ginzburg orientifolds. Extending prior work on the representation...
- 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...
- This $299,996 Project Grant award from the National Science Foundation's (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences (CFDA 47.049) program supports fundamental mathematical research by a team at Utah State University. The project aims to develop new algebraic and geometric tools to formalize and advance the mathematical theory underlying quantum physics, particularly in low-dimensional topology and the theory of quantum invariants. The key products and...
- This Project Grant award from the National Science Foundation (CFDA 47.049 - Mathematical and Physical Sciences) provides $135,000 to the University of California, Los Angeles (UCLA) to support research on representation theory of affine Lie algebras and W-algebras, as well as the local geometric Langlands correspondence. The research aims to tackle fundamental problems in the local geometric Langlands program and explore its applications in areas like two-dimensional conformal field theories in...
- This Project Grant award of $193,010.00 from the National Science Foundation's (NSF) Division of Mathematical Sciences under the CFDA 47.049 Mathematical and Physical Sciences program supports research to develop connections between number theory and physics. The project aims to explore the representation theory of quantum groups and their applications in explaining the bridge between special functions in number theory and statistical mechanics. The research will provide training opportunities...
- This federal Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) provides $137,739 to support collaborative research on the interactions between algebra and geometry. The project aims to develop new mathematical tools that bridge these two foundational areas of mathematics, exploring connections through the lens of physics and homological mirror symmetry. Key objectives include advancing understanding in multigraded...
- This $271,119 project grant from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) supports collaborative research on complex Lagrangians, integrable systems, and quantization in relation to mirror symmetry. The University of California, Davis will lead a research group investigating mirror symmetry as it relates to symplectic geometry and complex algebraic geometry. The group will establish complex Lagrangian geometry as a tool to study geometric...
- This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) will support research conducted by Brigham Young University to develop new algebraic geometry invariants that are valid in any number system. The $125,000 award, spanning July 2025 to June 2027, will pursue three primary goals: 1) understanding the motivic Euler characteristic of Hilbert schemes of K3 surfaces, including characterization of Hasse-Witt invariants; 2)...
- This $150,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research on two open problems in algebraic combinatorics that intersect representation theory and algebraic geometry. The principal investigator and collaborators aim to use combinatorics to better understand these abstract mathematical objects in a more concrete way, with potential applications in mathematics, physics, and human-machine...
- This $207,485 federal Project Grant award from the National Science Foundation (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports research into the classification and analysis of dynamical systems and group actions at the University of Utah. The project aims to study the concept of "conjugacy" in dynamical systems, exploring generalizations and extensions to better understand the mathematical properties that define equivalence between such systems. This work will...
This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) provides $100,000 in funding to Utah State University (USU) from August 1, 2025 to July 31, 2027. The project aims to advance research in Lie theory, a framework for understanding symmetry in algebra and geometry, with three key objectives: Developing a theory of universal abelianized centralizers for sheets in semisimple Lie algebras, which may yield new instances of mirror symmetry and computable examples of Coulomb branches. Using Morita abelianization to construct new topological quantum field theories related to the Moore-Tachikawa conjecture, with the goal of generalizing and ultimately proving this conjecture. Developing new Lie-theoretic versions of the De Concini-Procesi wonderful models. The project will also provide research training opportunities for students. No sub-awards are planned under this grant.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $100.0k | 7/21/25 |