nLab Derived Algebraic Geometry

This entry is about the Ph.D. thesis

• Jacob Lurie, Derived Algebraic Geometry, Ph.D. thesis, pdf.

which develops the theories of homotopical algebraic geometry and in particular derived algebraic geometry.

See also the sequels, which are concerned with spectral algebraic geometry.

• Jacob Lurie, Spectral Schemes

• Jacob Lurie, Quasi-Coherent Sheaves and Tannaka Duality Theorems

• Jacob Lurie, Closed Immersions

• Jacob Lurie, Descent Theorems

• Jacob Lurie, Proper Morphisms, Completions, and the Grothendieck Existence Theorem

• Jacob Lurie, Representability Theorems

• Jacob Lurie, Rational and p-adic Homotopy Theory