The goal of this article is to introduce basic concepts in the emerging area of geometric higher category theory. The exposition aims to be brief and informative but mathematically as self-contained as possible (some familiarity with higher category theory is presumed). Several small exercises (with solutions) have been included, and plenty of open questions as well as future research directions in the area are discussed.
Solutions to exercises
Please do let me know about any mistakes you find and explanations that seem to be missing (you can do so in the comment section below).