Project Grant 2452324
- This National Science Foundation (NSF) Project Grant award, funded under the Mathematical and Physical Sciences grant program (CFDA 47.049), supports a collaborative research project exploring the connections between algebra and dynamics through the study of mathematical structures known as operator algebras. The $130,611 project, which runs from September 1, 2025 to August 31, 2028, aims to advance fundamental knowledge in pure mathematics by investigating how symmetry and complexity interact...
- The National Science Foundation awarded a $361,459 Project Grant to the University of California, San Diego under the Mathematical and Physical Sciences program (CFDA 47.049) to expand the scope of rigidity in von Neumann algebras and uncover new applications to group theory, ergodic theory, and C*-algebras from June 1, 2022 to May 31, 2025. Specifically, the award will support research investigating rigidity properties for group von Neumann algebras and related topics, such as Hilbert-Schmidt...
- This National Science Foundation (NSF) Project Grant award under the Mathematical and Physical Sciences (CFDA 47.049) program seeks to advance the understanding of dynamical systems and the evolution from ordered to chaotic behavior. The $249,103 award to the Research Foundation of the City University of New York, effective July 1, 2024 through June 30, 2026, will support research aimed at developing new conceptual ideas, approaches, and theoretical frameworks to transcend the limitations of...
- 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...
- The National Science Foundation (NSF) awarded a $149,999 Project Grant under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049) to the Research Foundation for the State University of New York (RF SUNY) to conduct collaborative research on the intersection of homotopy theory, algebraic K-theory, smooth manifolds, polyhedra, and knots. The research aims to develop powerful connections between these mathematical fields, including classifying important geometric objects,...
- This Project Grant from the National Science Foundation's Mathematical and Physical Sciences program provides $325,855 to the University of Houston from June 2022 through May 2025. The funding supports research and training opportunities for graduate students in the theory of operator algebras generated by unitary group representations and their connections to discrete group structure. Specifically, the principal investigator will investigate new operator algebraic rigidity phenomena for...
- This federal Project Grant award, funded by the National Science Foundation's (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049), seeks to advance the understanding of semigroups within the framework of operator algebras, an important area of mathematical analysis. The $254,546 award, effective from September 1, 2024 to August 31, 2027, will support research to develop new theories and methods for studying semigroups and their...
- 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 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 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 $199,890 Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049) to the Research Foundation of the City University of New York (RFCUNY) to support a collaborative research project exploring the connections between algebra and dynamics through the study of mathematical structures known as operator algebras. The project aims to strengthen the links between dynamics, group theory, operator algebra theory, and ring theory, with the goal of producing new invariants for dynamical systems by studying algebras associated with them. The project will support research, as well as undergraduate and graduate student training, in areas such as data encryption, statistical physics, neural biology, and fractal geometry, which have connections to operator algebras and self-similar systems. The grant award period runs from September 1, 2025 to August 31, 2028.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $199.9k | 8/14/25 |