Here you can download a detailed plan of talks with notes for a proseminar on geometry of curves which I organized for Bachelor students at the University of Hamburg in summer semester 2021. I tried to unify various literature and add interesting examples like the involute gear, south-pointing chariot, tautochrome or the planimeter. The requirement was that the most of the recommended literature is available on Springer Link from the university network.
Here you can download my talk on the Theorem of Fáry-Milnor from July 8. Except for presenting the proof from the Bär’s book, I also sketch a proof of the fact that there is no non-trivial smooth knot in dimension other than 3 and draw the sequence of moves to transform the trefoil knot from its torus knot form to the form minimizing the bridge number.