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Explore the fascinating world of knot theory in this 38-minute conference talk from Strange Loop. Delve into mathematician John Conway's groundbreaking notation system that revolutionized knot enumeration. Compare Conway's approach with that of his predecessor Clifford Dowker, examining the strengths and trade-offs of each method. Learn how to enumerate all knots with seven or fewer crossings using these powerful notations. Discover the practical applications of knot theory and understand how serializing knots into text enables more systematic analysis. Join Princeton student Katherine Ye as she unravels the complexities of this interdisciplinary field and demonstrates the power of innovative notation systems in mathematics.
