Project Grant 2452044
- This three-year National Science Foundation Project Grant of $181,513 will support research in combinatorial representation theory at Dartmouth College from July 2022 through June 2025. The grantee aims to develop algorithms using diagram algebras and symmetric functions to advance understanding of the Kronecker problem in decomposing tensor products of representations into simpler representations. This work relates abstract algebraic objects like groups to combinatorial objects such as graphs...
- 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 $210,000 Project Grant awarded by the National Science Foundation Division of Mathematical Sciences under the CFDA Program 47.049 "Mathematical and Physical Sciences" will fund research in algebraic combinatorics and braid varieties. The project aims to use algebraic methods to produce new combinatorial results with applications in areas like cryptography, protein folding, high-energy physics, and quantum computing. Specifically, the funds will support exploring the use of braid...
- This Project Grant from the National Science Foundation's Division of Mathematical Sciences, under the Mathematical and Physical Sciences program (CFDA 47.049), provides $205,601 to the University of Massachusetts for research related to enumerative, algebraic, and asymptotic combinatorics with connections to representation theory and geometry. Specifically, the award supports three research projects that will study problems in graph colorings, Schubert polynomials, and integer flows on graphs...
- This National Science Foundation (NSF) Project Grant award under the Mathematical and Physical Sciences program (CFDA 47.049) provides $210,000 in funding to The Trustees of Smith College to support research on combinatorial models in representation theory, geometry, and analysis. The key focus areas of the research project include optimizing and analyzing two types of edge-labeled graphs: webs from knot theory and representation theory, and algebraic splines from applied mathematics. The...
- This Project Grant from the National Science Foundation's Division of Mathematical Sciences provides $169,979 to Haverford College under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) from June 2022 through May 2025. The award will support research addressing two topics in the algebra, geometry, and representation theory of reductive algebraic groups over non-Archimedean local fields. Specifically, the investigator will apply techniques from geometric group theory...
- This Project Grant from the National Science Foundation Division of Mathematical Sciences provides $210,000 to Brandeis University under the Mathematical and Physical Sciences program (CFDA 47.049) from June 1, 2022 to May 31, 2025. The funding supports research in the field of combinatorics, which analyzes discrete data structures and is a central tool for solving problems in mathematics, computer science, and physics. Specific projects include unifying bijections between planar maps and...
- This $267,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) will support research by the Massachusetts Institute of Technology (MIT) on tensor categories, quantized algebras, and the analytic Langlands correspondence. The research will focus on studying ordinary and tensor categories, some of which arise from representation theory and others that do not. This will include investigating non-integer rank generalizations of...
- This $190,000 Project Grant was awarded by the National Science Foundation's (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences (MPS) Federal Grant Program (CFDA 47.049). The grant, titled "COMBINATORIAL REPRESENTATION THEORY AND COMBINATORIAL ALGEBRAIC GEOMETRY", will support a postdoctoral research fellowship for Shiliang Gao at Cornell University under the mentorship of sponsoring scientist Allen Knutson. The fellowship aims to conduct research at...
- 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 $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 include studying tensor product and composition of group representations, solving open problems in areas like the Kronecker, Plethysm, and Restriction problems, and engaging students through collaborative work on the chromatic symmetric function. The award runs from August 15, 2025 through July 31, 2028.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $199.8k | 7/31/25 |