CAREER: Statistical mechanics and knot theory in algebraic combinatorics — NSF Award to Cornell University (NY, $38,605)
A mathematical knot is obtained by taking a piece of rope, tangling it in some way, and then joining the ends. A classical question in knot theory asks whether two knots can be obtained from each other by continuously transforming the rope. One way to distinguish two knots is to compute their knot invariants. Some of t
| Award title | CAREER: Statistical mechanics and knot theory in algebraic combinatorics |
|---|---|
| Award ID | 2607365 |
| Awardee | Cornell University |
| City | ITHACA |
| State | NY |
| Amount obligated | $38,605 |
| Principal investigator | Pavel Galashin |
| Program | Combinatorics |
| Start date | 12/01/2025 |
| Abstract | A mathematical knot is obtained by taking a piece of rope, tangling it in some way, and then joining the ends. A classical question in knot theory asks whether two knots can be obtained from each other by continuously transforming the rope. One way to distinguish two knots is to compute their knot invariants. Some of the most powerful knot invariants include the HOMFLY polynomial and its recent generalization known as Khovanov–Rozansky homology. For instance, the HOMFLY polynomial is used in mol |
| Source | NSF Awards |
$799/mo
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