Lectures related to Stable curve

Covers the normalization process of plane algebraic curves, focusing on irreducible polynomials and affine curves.

Explores the thermodynamic formalism for dispersing billiards, covering topological entropy, weight functions, and fragmentation lemmas.

Introduces Banach spaces for maximal entropy in billiard maps, discussing spectral bounds, norms, and measure construction.

Introduces the basics of differential geometry for parametric curves and surfaces, covering curvature, tangent vectors, and surface optimization.

Explores plane curves, focusing on singular points, multiplicities, and tangent lines.

Explores smooth maps, differentials, composition properties, linearity, and extensions on manifolds.

Explores curve parametrization, including setting curves, trace, and direction preservation.