Project Grant 2153998
- 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 $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 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, 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 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 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 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 $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 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 National Science Foundation project grant of $210,000 supports research in algebraic combinatorics at the University of Miami from August 2022 through July 2025. The grant funds three related research projects exploring connections between combinatorics and abstract algebraic structures to gain insights and solve problems in both fields. Specifically, the grant supports continued study of chromatic quasisymmetric functions and their relationship to Hessenberg varieties, investigation of new...
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 and matrices to make the former more accessible and enable more efficient computation. The grantee and graduate students will investigate tensor products of representations of symmetry groups and devise algorithms using combinatorial approaches. Progress in this area could lead to breakthroughs in three longstanding unsolved problems in combinatorial representation theory. The funding supports the National Science Foundation's Mathematical and Physical Sciences program to strengthen the nation's scientific enterprise through increasing scientific knowledge and understanding of major problems.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $181.5k | 3/29/22 |