Derived Algebraic Geometry

The second edition presents schemes, simplicial sets, higher categories, model categories, derived algebraic geometry, and spectral algebraic geometry in a self-contained manner. It discusses Motives, Goodwillie Calculus, Higher Galois, Supersymmetry, and topics in physical mathematics. A new chapter on Derived Motivic Spectrais now included as is an extended introduction to Infinity Category as well as a revised chapter on Stacks.

• Presents a concise treatment of derived algebraic geometry.
• Covers the the construction of a mathematical model of physical phenomena.
• Describes clear connections between algebra and geometry and topics in physics and mathematics.