Joshua Evan Greene

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20232026

most citedSpecial Alternating Knots are Band Prime

2 citations · 2 across the 4 of their papers we have counts for

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math.GT2026

Jordan curves inscribe a positive measure of rectangles

Joshua Evan Greene, Andrew Lobb

Suppose that $γ \subset C$ is a Jordan curve of diameter $2 R$ which encloses a region of area $A$ . We prove that there exists a subset $I \subset (0, π)$ of measure at least…

math.GT2023★ 2 cited

Special Alternating Knots are Band Prime

Joe Boninger, Joshua Evan Greene

We prove that a special alternating knot does not decompose as a non-trivial band sum. This restricts concordances from special alternating knots, and we conjecture that special al…