Intro to Derived Algebraic Geometry 1: The Cotangent Complex and Derived de Rham Cohomology
Some introductory notes on derived algebraic geometry from an MSRI workshop series.
Introductory Notes
Introduction to Infinity Categories
Some notes on a short introductory video on some foundational aspects of infinity categories.
A Brief Introduction to Category Theory
A relatively short introduction to Category Theory, including some concrete examples.