Project Grant 2502817
- This $330,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports research into quantum groups, W-algebras, and Brauer-Kauffmann categories, with a focus on understanding the underlying mathematical symmetries that govern natural phenomena. The principal investigator will develop emerging theories and applications of I-quantum groups, including exploring braid group actions, Drinfeld presentations, and...
- This $115,718 federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports advanced research into the algebraic and geometric properties of solutions to systems of polynomial equations. The primary goals of the project are to study the algebraic aspects of these solutions using non-archimedean geometry, investigate the complexity of curves within varieties of general type, and develop new non-archimedean...
- This $119,093 Project Grant award from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) supports research at North Carolina State University in commutative algebra, algebraic geometry, combinatorics, and singularity theory. The research aims to develop new formulas and computational methods with applications in areas like geometric modeling, investigate the multigraded structures of algebraic varieties, and advance the understanding of...
- This National Science Foundation (NSF) Project Grant, awarded under the Mathematical and Physical Sciences program (CFDA 47.049), provides $172,247 to support collaborative research on small quantum groups, their categorifications, and topological applications. The research aims to bridge the gap between 3D topological quantum field theories and our 4D universe, with a focus on developing homological invariants of 3D and 4D manifolds. The project will involve students and postdocs,...
- This Project Grant award of $149,002 was provided by the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049). The award will fund research at the University of Iowa to extend the foundations of representation theory of finite dimensional associative algebras to the setting of algebras in tensor categories. This work aims to broaden participation in mathematics by engaging a diverse group of doctoral students in...
- The National Science Foundation (NSF) awarded a $165,000 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program to North Carolina State University (NC State) for the period of August 1, 2025 to July 31, 2028. The grant will fund research on algebraic invariants of matroids and their applications. Key objectives include developing a simpler definition of the intersection cohomology module of a matroid, exploring matroidal analogues of Stanley's local...
- The National Science Foundation (NSF) awarded a $180,935 Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049) to the University of Alabama. The grant, awarded on August 1, 2023, will fund research into cell decompositions of quiver grassmannians, which are related to cluster algebras. This research aims to provide a topological explanation for positivity in cluster algebras, which have connections to various areas of mathematics, physics, and other fields. The project...
- The National Science Foundation (NSF) awarded a $268,071 Project Grant to North Carolina State University (NC State) under the Mathematical and Physical Sciences program (CFDA 47.049) to conduct research on categorical symmetries of operator algebras. The project aims to provide a classification of approximately finite-dimensional actions of amenable tensor categories on approximately finite-dimensional C*-algebras, and to generalize a previously developed categorical invariant for group actions...
- 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 (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 federal Project Grant award was provided by the National Science Foundation (NSF) under the Integrative Activities program (CFDA 47.083) to North Carolina Central University (NCCU). The $417,333 grant will fund research on quantum nilpotent algebras and essential sets, which are mathematical objects with applications in areas like quantum physics, topology, and representation theory. The key research goals include classifying certain quantum algebras, characterizing nilpotency indices, and determining automorphism groups of quantized nilradicals. This project will also expand opportunities for student research involvement at NCCU, a historically Black university, and aims to advance connections between these interrelated areas of mathematics. The project will be carried out over 3 years, from August 2025 to July 2028.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $417.3k | 7/28/25 |