TITLE: What are good references to self study persistent homology?
QUESTION [25 upvotes]: I am a graduate student in mathematics interested in persistent homology. Can anyone recommend good books or resources to self study persistent homology?
I am taking a course in Algebraic Topology, studying the book by Hatcher.

REPLY [3 votes]: Here are a few references, some old, some new:

Topological Pattern Recognition for Point Cloud Data by Gunnar Carlsson – A foundational paper on the subject of topological data analysis, with a good exposition.
A Brief History of Persistence by Jose A. Perea – A recent (2018) eleven page introduction that covers persistence modules and quiver representations.
Tamal K Dey's 2017 course on Computational Topology and Data Analysis
This question on MathOverflow is quite insightful.