Defines the untangling number for 3-periodic tangles and proves that ground states for infinite open curves are crystallographic rod packings.
Mahmoudi, Tait’s first and second conjecture for alternating periodic weaves, arXiv:2009.13896 (2020)
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Proves existence and uniqueness of stable layer configurations in entangled weaves and derives their t^{1/3} separation rate under repulsive energy gradient flow in R^3.
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The untangling number of 3-periodic tangles
Defines the untangling number for 3-periodic tangles and proves that ground states for infinite open curves are crystallographic rod packings.