Project Grant 2503008
- 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,...
- The National Science Foundation (NSF), through its Integrative Activities program (CFDA 47.083), has awarded a $153,804 project grant to New Mexico State University (NMSU) for the period of July 1, 2023 to June 30, 2026. The grant will fund research by NMSU to advance equivariant homotopy theory, a field that studies the symmetries of geometric shapes. Key objectives include developing generalized Steenrod operations and equivariant analogs of Stiefel-Whitney classes, which have applications...
- This National Science Foundation (NSF) Project Grant Award, under the Mathematical and Physical Sciences program (CFDA 47.049), provides $210,000.00 in funding to the University of Maryland, College Park to support research on the interplay between polylogarithms, cluster algebras, and hyperbolic geometry. The key objectives are to investigate key conjectures, find new examples of hyperbolic manifolds, and compute invariants using cluster coordinates. The project will involve both graduate and...
- 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 $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...
- The National Science Foundation (NSF) awarded a $246,000 Project Grant under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049) to Princeton University. The grant, with a period of performance from July 1, 2025 to June 30, 2027, supports fundamental research in number theory. The principal investigator will develop new probabilistic models and multiple Dirichlet series to advance the understanding of Galois groups and L-functions, which have applications to prime number...
- 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 $405,500 Project Grant under its Mathematical and Physical Sciences (CFDA 47.049) program to Duke University to support a research program in A1-homotopy theory and its applications to enumerative geometry and number theory. The award will fund research to develop enriched counting methods that can detect differences in the number of solutions to equations requiring real or imaginary numbers, with potential applications in number theory and...
- 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...
The National Science Foundation (NSF) Integrative Activities program (CFDA 47.083) awarded a $300,000 Project Grant to Morgan State University from September 1, 2025 to August 31, 2028. The grant supports fundamental and translational research in the areas of superalgebra representation theory, quantum spaces, and algebra maps. Key objectives include: (1) creating new infinite-dimensional super representations, (2) simplifying super representations, and (3) developing formulas to enhance the applicability of representation theory to scientific phenomena. The grant also funds undergraduate research and a doctoral student supervised by the Principal Investigator. Expected outcomes include novel examples of reduction superalgebras relevant to the study of integrable systems and quantum spaces.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $300.0k | 8/14/25 |