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 $175,000 Project Grant award from the National Science Foundation's STEM Education (CFDA 47.076) program aims to gain deeper insights into how undergraduate students in computer science and mathematics approach and comprehend fundamental concepts at the intersection of the two domains. The key products and services to be delivered include: Conducting think-aloud interviews with computer science and mathematics students to analyze their cognitive processes when solving problems related to...
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 $399,625 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports research at California State University Channel Islands (CSUCI), a Hispanic-Serving Institution, to explore the intersections of nonlocal vector calculus and the mathematics of intelligences. The primary goals are to formulate new theoretical models, prove significant properties, and apply these models to problems in both artificial and natural...
This National Science Foundation (NSF) award under the Mathematical and Physical Sciences (CFDA 47.049) program provides $160,208 to the California State University Long Beach Research Foundation to conduct experimental and computational studies of biomolecular topology. The key objectives are to understand the relationship between the topology (connectivity) of complex biopolymers, such as kinetoplasts, and their material properties through single-molecule experiments and computer...
The National Science Foundation (NSF) awarded a $698,238 Project Grant through its Mathematical and Physical Sciences (CFDA 47.049) program to the California State University Long Beach Research Foundation. This 6-year grant supports a partnership between California State University Long Beach (an urban Hispanic-serving institution) and Ohio State University's Center for Emergent Materials to conduct fundamental materials science research and broaden participation in STEM fields. The grant funds...
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....
The University of St. Thomas in Houston, Texas was awarded a $277,570 project grant from the National Science Foundation's Division of Mathematical Sciences program (CFDA 47.049) to promote inclusive research at undergraduate institutions, particularly those serving underrepresented students in the mathematical sciences. The 2-year project, titled "PRIMES PAIR: Partnering with AIM for Inclusive Research", will enhance the American Institute of Mathematics' (AIM) virtual research...
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 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...