  Lecture notes from the mini-course "Topics in Lorentz Geometry" taught at the
University of S\~{a}o Paulo, in March/2019. The text has three parts: (i) an
overall view of linear algebra in the pseudo-Euclidean space
$\mathbb{R}^n_\nu$, with focus on Lorentz-Minkowski space and its role in
Physics; (ii) a version of the Fundamental Theorem of Curves in 3-dimensional
Lorentz-Minkowski space, with adaptations to curves with degenerate osculating
plane; (iii) the problem of the diagonalization of the Weingarten map for
timelike surfaces, local classification of surfaces with constant Gaussian
curvature $K$ and Weierstrass' representation formula in Lorentz-Minkowski
space (using split-complex algebra). V2: added references.
