Project Grant 2601486
- Northeastern University was awarded a $154,901 project grant from the National Science Foundation Division of Mathematical Sciences on April 15, 2021 to fund research related to noncommutative algebras and categorical structures. The grant was awarded under the Mathematical and Physical Sciences program (CFDA 47.049), which provides support to promote progress in mathematics and the physical sciences. Through this funding, Northeastern University researchers will conduct work in noncommutative...
- The National Science Foundation Division of Mathematical Sciences awarded Northeastern University $100,000 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to conduct research on microlocal analysis applied to singular geometric structures. The project develops analytic and geometric techniques to study singular spaces that arise naturally in mathematics and physics, with particular focus on gravitational instantons and constant curvature metrics with...
- The National Science Foundation Division of Mathematical Sciences awarded the University of Massachusetts Boston $140,000 on July 15, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to study arithmetic and symmetry structures in quantum cohomology. The project investigates number-theoretic patterns embedded in quantum cohomology, a mathematical theory originating in string theory and geometric physics. The investigator will pursue two related directions: first,...
- This National Science Foundation (NSF) Division of Mathematical Sciences grant award, titled "Categorical Centers, Cactus Actions, and Diagram Algebras," provides $170,000 in funding to Northeastern University over 3 years, from September 1, 2023 to August 31, 2026. The project will develop a deeper understanding of representation theory, which studies the symmetries of mathematical objects, by combining algebraic, combinatorial, and categorical techniques to investigate quantum groups...
- Northeastern University was awarded a $293,000 project grant from the National Science Foundation (NSF) Division of Mathematical Sciences under the NSF's Mathematical and Physical Sciences program (CFDA 47.049) to support research titled "Invariant Theory and Complexity Theory for Quiver Representations and Tensors" from September 1, 2021 through August 31, 2024. The grant funding will support the university's research into understanding the complexity of computing invariants of...
- 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 Division of Mathematical Sciences awarded Rensselaer Polytechnic Institute $269,117 on August 15, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop mathematical foundations and computational methods for simulating quantum materials. The award funds development of a rigorous and scalable framework for high-accuracy electronic-structure simulation of quantum materials using periodic coupled-cluster theory, addressing current...
- The National Science Foundation Division of Mathematical Sciences awarded Northwestern University $175,000 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop the theory of factorization homology for 3-manifolds with coefficients in rigid braided infinity-categories and to apply that theory to low-dimensional topology, topological quantum field theory, and representation theory. The project develops mathematical constructions that integrate...
- The National Science Foundation Division of Materials Research awarded Northeastern University $434,925 on July 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to investigate how ultrafast laser pulses can control frustrated quantum materials and access new quantum phases inaccessible under normal conditions. The research targets applications in quantum sensing, ultrafast electronic and spintronic devices for switching and storage, and energy-efficient materials...
- The National Science Foundation Division of Mathematical Sciences awarded the Trustees of Boston University $250,000 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to advance mathematical and computational understanding of quasi-periodic and quasi-crystalline patterns in partial differential equation models. The project develops new mathematical and numerical continuation techniques to characterize coherent structures—including fronts, defects, and...
The National Science Foundation Division of Mathematical Sciences awarded Northeastern University $230,000 on August 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to investigate quantum cluster algebras and monoidal categories. The recipient will conduct foundational research on noncommutative algebraic structures, specifically building canonical bases of quantum cluster algebras at roots of unity and studying their irreducible representations through connections to Poisson geometry. The work will examine how monoidal abelian and triangulated categories reveal noncommutative objects through matrix actions and will investigate supports of these categorical structures to understand their noncommutative properties at higher levels of abstraction. The project includes research training opportunities for students and will demonstrate that quantized coordinate rings admit quantum cluster algebra structures, providing concrete approaches to studying these novel noncommutative frameworks with applications across mathematics and mathematical physics. Performance occurs at Northeastern University in Boston, Massachusetts, with a period of performance from August 1, 2026, through July 31, 2029.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $230.0k | 7/27/26 |