• Bertrand's Theorem on central forces and relativistic precession
• The three-body problem and the shape sphere
• Curves of constant width
• Topics from the Theory of Convexity: John-Loewner ellipsoids, Brunn-Minkowski inequality, Steiner Formula.
• Berger Theorem: only ellipsoidal billiard tables have caustics in three-dimensional space
• The conformal transformation of the night sky in special relativity (after Ettore Minguzzi)
• The ubiquity of Hopf Rigidity: convex billiards, magnetic systems and nonlinear elliptic equations
• The set of singular points of the distance function to a closed subset after Albert Fathi
• The topological sphere theorem

• Integrable magnetic flows on the two-torus
• Systolic geometry in dimension 2
• Mane Theory of globally minimizing curves for Tonelli systems
• Aubry-Mather theory in dimension 2: Hedlund's closing lemma (Proposition 2.1)
• The mountain pass lemma for multivalued functionals
• The replicator equation in infinite dimensions
• Foliating a manifold by circles: the theorems of Wadsley, Epstein and a counterexample of Thurston (Appendix A)
• Smith theory: fixed points of actions of finite groups
• Brouwer translation theorem

If you have problems to access the references indicated above please send me an email.