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The study of twisted bilayer graphene (TBG) is a hot topic in condensedmatter physics with special focus on {\em magic angles} of twisting at whichTBG acquires unusual properties. Mathematically, topologically non-trivial flatbands appear at those special angles. The chiral model of TBG pioneered byTarnopolsky--Kruchkov--Vishwanath has particularly nice mathematical propertiesand we survey, and in some cases, clarify, recent rigorous results whichexploit them.

Mathematical results on the chiral model of twisted bilayer graphene (with an appendix by Mengxuan Yang and Zhongkai Tao)