Charles Livingston
= Charles Livingston
{c}
<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.<The algebraic concordance order of a knot by Charles Livingston>[Original byline and abstract]{ref}
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.<The algebraic concordance order of a knot by Charles Livingston>[Abstract and section 1]{ref}