Project Grant 2502467
Award Date 9/1/25
Completion Date 8/31/27
Dollars Obligated $267K
Federal Agency
Federal Grant Program
Assistance Type
Project Grant
Place of Performance
Cambridge, MA 02139, USA
Similar Awards
- This $199,786.00 Project Grant award from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) supports fundamental research in combinatorial representation theory by Dartmouth College. The project aims to develop efficient computational algorithms that use combinatorial tools to analyze how algebraic representations can be combined, with potential applications in fields like computer vision, quantum physics, and fast matrix multiplication. Key objectives...
- This $183,897 federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research at the Massachusetts Institute of Technology (MIT) focused on curve counting beyond rational numbers. The project aims to develop new curve-counting invariants and methods to analyze symplectic manifolds, which are crucial mathematical objects for understanding physical phenomena like the movement of planets and particle behavior. The...
- 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...
- This $260,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) will support fundamental research into representations of quantizations and their associated categories of representations. The key products and services to be delivered under this award to Yale University include: Studying categories of highest weight modules over affine quantum algebras, establishing derived equivalences between categories corresponding to...
- This Project Grant award of $190,000.00 was made by the National Science Foundation (NSF) under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049) to support a postdoctoral research fellowship at the Massachusetts Institute of Technology. The fellowship, titled "Combinatorial Interpretations of Cluster Coefficients and Scattering Diagrams," will be conducted under the mentorship of sponsoring scientist Alexander Postnikov. The project aims to advance...
- 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 three-year, $207,196 project grant from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) supports research into the representation theory of finite reductive groups at the Massachusetts Institute of Technology. Specifically, the principal investigator will investigate new approaches to representations of Weyl groups and unipotent representations using a novel basis for the Grothendieck group. Additionally, the investigator will develop a new...
- 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...
- 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...