*Suggested reading:*

## Schemes, stacks, and intersection theory

- Master course on algebraic stacks, Bertrand Toën
- Lectures on algebraic geometry background, Marc Levine
- Introduction to intersection theory and motives, Joël Riou
- Introduction to intersection theory in algebraic geometry, William Fulton

## ∞-categories and ∞-toposes

- Mini-course on ∞-categories, Denis-Charles Cisinski
- Course notes on ∞-categories, Denis-Charles Cisinski
- A short course on ∞-categories, Moritz Groth
- On higher topoi, Jacob Lurie
- Bourbaki talk on higher categories and topos theory, Denis-Charles Cisinski
- Video lectures on ∞-categories, Emily Riehl
- Some higher algebra, Dennis Gaitsgory and Nick Rozenblyum
- The zen of ∞-categories, Aaron Mazel-Gee

## Spectra and ring spectra

- Chapter 1 of Higher algebra, Jacob Lurie
- Some higher algebra, Dennis Gaitsgory and Nick Rozenblyum
- A short course on ∞-categories, Moritz Groth

## Algebraic K-theory

- Lecture notes, Marco Schlichting
- Lecture notes, Marc Levine
- Lecture notes, Rick Jardine
- Lecture notes (Lects. 16-20), Jacob Lurie

## Motivic homotopy theory

- The six operations in equivariant motivic homotopy theory, Marc Hoyois
- K-Theory and the bridge from motives to non-commutative motives, Marco Robalo

## Derived algebraic geometry

- Survey, Bertrand Toën
- Lecture notes, Bertrand Toën
- Derived algebraic geometry, thesis of Jacob Lurie
- Basics of derived algebraic geometry, Dennis Gaitsgory and Nick Rozenblyum
- Brauer groups and étale cohomology in derived algebraic geometry, Benjamin Antieau and David Gepner