day 1: knots and knot diagrams, torus knots, satellite knots, connected sum
day 2: Seifert surfaces, genus, prime decomposition; Reidemeister moves, colourability
day 3: hike
day 4: fundamental group, spheres, products, wedges
day 5: group presentations, abelianization, Tietze moves; Seifert-van Kampen; Wirtingerpresentation
day 6: linking number, longitude; Alexander polynomial
day 7: Alexander polynomial of connected sum, cable knots, inequality genus; fundamental group detects unknot, Whitehead doubles non-trivial; slice knots, concordance group, spun knots
day 8: skein relations, Jones polynomial; first Tait conjecture