Project Grant 2604648
- The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $170,443 Project Grant to the University of Massachusetts Boston (UMass Boston) under the Mathematical and Physical Sciences program (CFDA 47.049). The grant supports research in "Critical Symplectic Geometry, Lagrangian Cobordisms, and Stable Homotopy Theory." The project aims to incorporate ideas from homotopy theory and category theory into symplectic geometry to prove structural results about...
- Federal Grant Award Summary The National Science Foundation (NSF) Division of Mathematical Sciences awarded the University of Massachusetts $100,000 under the Mathematical and Physical Sciences (CFDA 47.049) program for a two-year project grant effective September 1, 2025 through August 31, 2027. This project delivers fundamental research and educational products in low-dimensional topology and geometry, with particular focus on advancing understanding of four-dimensional manifolds equipped with...
- The National Science Foundation Division of Mathematical Sciences awarded a $390,000 Project Grant to the University of Massachusetts Office of Grant & Contract Administration in Hadley, MA to support collaborative research titled "New Challenges in the Derivation and Dynamics of Quantum Systems" from July 1, 2021 through June 30, 2024. The grant supports research under the Mathematical and Physical Sciences program (CFDA 47.049), which aims to promote progress in these...
- 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 $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...
- Federal Project Grant Award Summary The National Science Foundation's Division of Mathematical Sciences awarded $146,000 under the Mathematical and Physical Sciences (CFDA 47.049) program to the Trustees of Boston University on August 15, 2025, for research on the arithmetic geometry and representation theory of the local Langlands correspondence. The project, which will be completed by July 31, 2027, focuses on developing an explicit theory of cuspidal vector bundles to bridge geometric and...
- The University of Massachusetts Boston (UMB) was awarded a $123,416 project grant from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) to conduct research in symplectic cohomology and quantum cohomology of Fano manifolds. Under this award effective July 1, 2023 through June 30, 2026, UMB will analyze Gromov-Witten invariants to probe the global structure of symplectic manifolds. The PI will "cut open" manifolds along divisors to study...
- The National Science Foundation (NSF) awarded a $274,996 project grant under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program to the University of Massachusetts (UMass). The grant period runs from June 1, 2024 to May 31, 2027. The primary focus of the research is to advance the study of derived categories of moduli spaces and Fano varieties, with the goal of further developing the interconnections between algebraic geometry, non-commutative geometry, and mathematical...
- The University of Massachusetts received a $155,678 Project Grant award from the National Science Foundation's Division of Mathematical Sciences (CFDA 47.049) effective August 1, 2025, through July 31, 2027. The grant funds fundamental research into mirror symmetry and the moduli of Calabi-Yau manifolds, with the principal investigator and collaborators establishing new cases of the Homological Mirror Symmetry (HMS) conjecture for Calabi-Yau manifolds of complex dimensions 2 and 3. 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,...
Grant Award Summary The National Science Foundation (NSF) Division of Mathematical Sciences awarded $140,000 to the University of Massachusetts Boston under the Mathematical and Physical Sciences program (CFDA 47.049) for a Project Grant titled "Arithmetic and Symmetry in Quantum Cohomology." The award, obligated on July 15, 2026, with a completion date of June 30, 2029, funds fundamental mathematical research investigating number-theoretic patterns and symmetry structures underlying quantum cohomology—a mathematical theory with origins in string theory and theoretical physics. The research will produce scholarly outputs including theoretical advances in p-adic Frobenius structures, Fontaine-Laffaille structures, and quantum GIT (Geometric Invariant Theory) formulas, with particular emphasis on applications to Fano varieties and symplectic quotients. The project delivers broader impacts through education and workforce development by mentoring junior researchers and early-career mathematicians, and by developing new interdisciplinary courses and degree pathways at the intersection of mathematics, computation, and artificial intelligence. The research strengthens connections between mathematics and theoretical physics while advancing foundational knowledge in a discipline with applications across multiple scientific domains.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $140.0k | 7/7/26 |