Project Grant 2532551
- This Project Grant from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) provides $452,656 to California State University Fresno Foundation to support research in low-dimensional topology from September 1, 2022 to August 31, 2025. The funding will advance understanding of link homology theories and other quantum invariants through construction and study of new Khovanov-type homology theories for classical and singular knots. It will also investigate...
- This federal Project Grant award of $117,892 from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research on the geometry of mapping class groups and surface bundles, which are fundamental concepts in mathematics. The research project, conducted by the Regents of the University of California at Riverside, aims to develop combinatorial techniques for studying the geometry of these mathematical objects. Additionally, the educational...
- This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) provides $300,000 in funding to the University of California, Los Angeles (UCLA) from July 1, 2025 to June 30, 2028. The award supports research on higher-dimensional contact topology and its relationship to quantum physics and quantum invariants of knots and links. Key focus areas include studying the mathematical structures underlying the relationship between Hecke...
- The National Science Foundation Division of Mathematical Sciences awarded a $112,341 Project Grant to the CAL Poly Corporation to support the RUI: REPRESENTATIONS OF ANALYTIC FUNCTIONS IN SEVERAL VARIABLES AND APPLICATIONS project. The grant is part of the NSF's Mathematical and Physical Sciences program (CFDA 47.049), which aims to promote progress in these fields and strengthen the Nation's scientific enterprise through increasing scientific knowledge and enhancing understanding of major...
- The National Science Foundation (NSF) awarded a $149,999 Project Grant under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049) to the Research Foundation for the State University of New York (RF SUNY) to conduct collaborative research on the intersection of homotopy theory, algebraic K-theory, smooth manifolds, polyhedra, and knots. The research aims to develop powerful connections between these mathematical fields, including classifying important geometric objects,...
- This $150,000 Project Grant award was provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The funding supports collaborative research combining ideas and techniques from several exciting areas of contemporary mathematical thought, including homotopy theory, algebraic K-theory, smooth manifolds, polyhedra, and knots. The project aims to develop new connections between these fields, with plans to classify important...
- This federal Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) provides $137,739 to support collaborative research on the interactions between algebra and geometry. The project aims to develop new mathematical tools that bridge these two foundational areas of mathematics, exploring connections through the lens of physics and homological mirror symmetry. Key objectives include advancing understanding in multigraded...
- This federal Project Grant award in the amount of $177,469.00 was provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences Grant Program (CFDA #47.049). The award will support research into the geometry of moduli spaces from low-dimensional topology and applications, with a focus on three main directions: studying higher algebraic structures in instanton Floer homology, analyzing the properties of generalized Seiberg-Witten equations, and exploring the...
- This federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research on contact and symplectic geometry, an area of mathematics studying physical phenomena like light and thermodynamics. The $154,019 grant, awarded on July 15, 2025 with a completion date of June 30, 2028, aims to develop new mathematical methods and techniques to model, manipulate, and classify the behavior of light and heat. The project...
- This $270,000 Project Grant award from the National Science Foundation (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports fundamental research in geometric representation theory and symplectic geometry at the University of California, Berkeley. The research aims to develop new tools and solve open problems in these mathematical fields, which draw inspiration from theoretical physics. Key research themes include investigating the cocenter of the affine Hecke category,...
This federal Project Grant award of $194,689 from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research by the Cal Poly Corporation at California Polytechnic State University in San Luis Obispo, California. The research project aims to apply ideas from Morse theory, a mathematical tool used to study smooth manifolds, to contact manifolds - objects with additional geometric structure that are useful for modeling physical phenomena. The project has two main goals: 1) to rigorously establish the bypass-bifurcation correspondence in higher dimensions, building on progress in 3-dimensional contact topology, and 2) to develop computational tools for persistent Legendrian contact homology, an invariant used to study Legendrian knots. This research is expected to help clarify the foundations of higher-dimensional contact topology and generate new insights in this quickly developing field. The project also involves undergraduate students in meaningful mathematical research. The award period runs from September 1, 2025 through August 31, 2027.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $194.7k | 7/17/25 |