Project Grant 2204386
- This Project Grant award from the National Science Foundation (NSF) Division of Mathematical Sciences, under the NSF's Mathematical and Physical Sciences program (CFDA 47.049), provides $200,000 in funding to the University of California, Davis (UC Davis) from August 15, 2023 to July 31, 2026. The funding supports research aimed at uncovering patterns and symmetries in Khovanov-Rozansky link homology, a generalization of the famous HOMFLY polynomial in knot theory. The project will build upon...
- This $400,000 federal Project Grant awarded by the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program will support a partnership between the American Institute of Mathematics (AIM) and California State University, Long Beach (CSULB) to invigorate mathematics research and expand student research opportunities at CSULB. The key products and services to be delivered through this grant include: Designing and implementing research projects in knot theory...
- This Project Grant from the National Science Foundation's $47.049 Mathematical and Physical Sciences program provides $294,584 to Virginia Commonwealth University from August 1, 2022 to July 31, 2025. The award supports research exploring knot theory and its applications to low-dimensional topology, as well as disseminating related knowledge. Specifically, the university will conduct fundamental investigations into knot invariants, crossing changes, tangle decompositions and unknotting...
- This National Science Foundation Project Grant of $250,000 supports research into low-dimensional topology through July 2025. Funded under the Mathematical and Physical Sciences program (CFDA 47.049), the award to Duke University will advance understanding of fundamental questions in knot theory and 4-manifold topology. Specifically, the principal investigator will investigate knot concordance problems tied to the unique properties of 4-dimensional manifolds compared to higher dimensions....
- This National Science Foundation (NSF) Division of Mathematical Sciences Project Grant for $281,433 awarded to Claremont McKenna College supports research in pure and applied knot theory. The project aims to connect quantum topology with hyperbolic geometry and apply knot theory techniques to the study of knotted biopolymers. Key research focus areas include: Investigating how quantum invariants of knots relate to the geometric properties of knots and 3-dimensional spaces, with potential...
- This Project Grant award of $200,000 from the National Science Foundation (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research by the Principal Investigator at North Carolina State University in the field of geometric topology. The research will focus on properties of knots, three- and four-dimensional shapes, and developing tools to measure their complexity, with the goal of constructing new exotic smooth four-manifolds and studying surfaces in four-manifolds. The...
- This $200,000 National Science Foundation project grant supports mathematical and physical sciences research at Michigan State University from September 2022 through August 2025. The award falls under the Mathematical and Physical Sciences program (CFDA 47.049), which aims to advance scientific knowledge and address national problems through basic research and education in these fields. Specifically, the principal investigator and their team will investigate Floer and Khovanov theories...
- This Project Grant award from the National Science Foundation (NSF), under the Mathematical and Physical Sciences federal grant program (CFDA 47.049), provides $150,000.00 to investigate important problems in quantum topology and its connections with classical topology and hyperbolic geometry. The research aims to advance the understanding of invariants of three- and four-dimensional spaces and knotted circles, which have applications in areas like DNA modeling and theoretical physics. Key focus...
- This $126,819 Project Grant was awarded on December 15, 2025 by the National Science Foundation's (NSF) Directorate for Mathematical and Physical Sciences under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049). The grant supports fundamental research by the University Corporation, a nonprofit auxiliary organization affiliated with California State University, Northridge, to study the topology and dynamics of four-dimensional manifolds with symplectic structures. Key...
- This Project Grant award of $219,165 from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) supports research on categorification techniques to study knot theory. The principal investigator at the University of South Alabama will use categorification to address open problems in knot theory, which has applications in biology, medicine, chemistry, and physics. Key project goals include studying the geometric, topological, and combinatorial properties of...
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 applications of these theories to questions in braids, cobordisms, concordance, ribbon distance, and invariants of surface-links and surface-knots. Additionally, the award will extend classical quantum invariants to singular and virtual links using skein modules, Markov traces, and Birman-Murakami-Wenzl algebras as well as combinatorial techniques involving graphical calculus. The project delivers research experiences for students to investigate publication-worthy problems while also establishing connections between various areas of mathematics.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $226.3k | 6/16/22 |