Charles Livingston studies knot theory and algebraic concordance of knots. His paper on algebraic concordance order develops effective tests for deciding whether a class has finite or infinite order.[ref]
The algebraic concordance order of a knot by Charles Livingston. Original byline and abstract
A Seifert matrix translates a knot problem into a question about bilinear forms. The resulting algebraic concordance class can be analyzed through Witt groups and P-adic numbers. Livingston's criteria reduce the primes that need consideration and can sometimes avoid p-adic computations, making abstract concordance invariants accessible to explicit knot calculations.[ref]
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