Local global principle in other settings.
    - When is an element in a number field an nth power? Grunwald-Wang theorem -- https://en.wikipedia.org/wiki/Grunwald%E2%80%93Wang_theorem
    - Selmer's example of failure of local-global principle for elliptic curves, and Tate-Shafarevich groups -- https://kconrad.math.uconn.edu/blurbs/gradnumthy/selmerexample.pdf
    - A family of genus one curves violating Hasse principle - Poonen -- https://math.mit.edu/~poonen/papers/cubics.pdf

Coverings of curves.
    - Unramified covers of Galois covers of low genus curves - Poonen -- https://math.mit.edu/~poonen/papers/etale.pdf
    - Unramified correspondences - Bogomolov, Tschinkel -- https://arxiv.org/pdf/math/0202223.pdf

Elliptic curves.
    - Weil conjectures for elliptic curves over finite fields - Silverman Chapter 5
    - Neron-Ogg-Shafarevich criterion - Silverman Chapter 7

Rank of elliptic curves.
    - Average rank -- https://math.mit.edu/~poonen/papers/Exp1049.pdf
    - Heuristics for boundedness -- https://math.mit.edu/~poonen/papers/bounded-ranks.pdf, https://math.mit.edu/~poonen/papers/icm2018.pdf

Brauer groups.
    - Some parts of: Central simple algebras, Brauer-Severi varieties, Albert-Brauer-Hasse-Noether theorem -- Chapters 1, 2, 5 of https://www.cambridge.org/core/books/central-simple-algebras-and-galois-cohomology/B4A8F430A0D6C5A59722BD48AEF94C05
    - Brauer Manin Obstruction -- https://www.ias.edu/sites/default/files/Viray-PCMI-Notes.pdf