In spring 2023, I am teaching a Master's course (M2) in Jussieu. 

• Chapter 0 - Introduction
• Chapter 1 - K_0 of rings
• Chapter 2 - K_1 of rings
• Chapter 3 - K-theory space
• Chapter 4 - K_0 vs Chow groups

Helpful sources:

1. M. Hoyois’ lecture course on algebraic K-theory
2. A. Khan’s lecture course on algebraic K-theory and intersection theory
3. F. Binda and A. Khan’s lecture course on Grothendieck-Riemann-Roch theorem

Useful references:

1. C. Weibel "The K-book: an introduction to algebraic K-theory", 2013
2. E. Friedlander, D. Grayson "Handbook of K-theory", 2005
3. C. Mazza, C. Weibel, V. Voevodsky "Lecture notes on motivic cohomology", 2006
4. D. Quillen "Higher algebraic K-theory: I", 1973
5. R. Thomason and T. Trobaugh “Higher algebraic K-theory of schemes and of derived categories”, 1990
6. A. Suslin "On the K-theory of algebraically closed fields", 1983
7. C. Weibel “Algebraic K-theory of rings of integers in local and global fields”, 2004

• electronic Algebraic K-theory Seminar
• Motives and What Not
• Beilinson fiber sequence
• Integral homotopy theory
• Norms in motivic homotopy theory

In SS 2022  I taught  "Introduction to Algebraic Geometry" at ETH.

My main source were the notes by G. Ellingsrud and J.C. Ottem 
which contain pictures, intuition and comments in Norwegian!

• Chapter 0 - Introduction
• Chapter 1 - Algebraic sets
• Chapter 2 - Zariski topology
• Chapter 3 - Sheaves and varieties
• Chapter 4 - Projective varieties
• Chapter 5 - Dimension revisited
• Chapter 6 - Smoothness and singularities
• Chapter 7 - Birationality
• Chapter 8 - Curves
• Chapter 9 - Properties of morphisms
• Chapter 10 - Bezout theorem (notes by John Ottem)
• Chapter 11 - Prime spectrum
• Chapter 12 - Schemes
• Chapter 13 - Weil conjectures

Send me your favourite ones!

• W. Thurston "On proof and progress in mathematics"
• W. Thurston "What's a mathematician to do?"
• J. Littlewood "The mathematician's art of work"
• W. Gowers "The two cultures of mathematics"
• P. Lockhart "A mathematician's lament"
• T. Tao "Does one have to be a genius to do math?"
• T. Tao "On time management"
• T. Tao "Enjoy your work"