Project Grant 2302305

Award Date 8/15/23
Completion Date 7/31/26
Dollars Obligated $200K
Federal Grant Program
47.049
Assistance Type
Project Grant
Place of Performance
Davis, CA, USA
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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 and unify various existing mathematical operations to study the commutation relations between them and define new ones, with the goal of revealing new insights into the structure of link homology. It will also explore connections between link homology and geometric models based on objects like Hilbert schemes and affine Springer fibers. The award provides research training opportunities for students and postdocs as part of the project.

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