Lecture 1: Overview. Lecture 2: The Wall Finiteness Obstruction. Lecture 3: Whitehead Torsion: Part I. Lecture 4: Whitehead Torsion: Part II. Lecture 5: Cell-Like Maps. Lecture 6: Concordance of Polyhedra. Lecture 7: Higher Simple Homotopy Theory. Lecture 8: Fibrations of Polyhedra. Lecture 9: Fibrations of Nonsingular Simplicial Sets. Lecture 10: Combinatorial Models for Simple Homotopy Theory. Lecture 11: Equivalence of the Combinatorial Definition. Lecture 12: Some Loose Ends. Lecture 13: Homotopy Types vs Simple Homotopy Types. Lecture 14: (Lower) K-Theory of infty-Categories. Lecture 15: The Wall Finiteness Obstruction Revisited. Lecture 16: Higher K-Theory of infty-Categories. Lecture 17: The Additivity Theorem. Lecture 18: Additive K-Theory. Lecture 19: K-Theory of Ring Spectra. Lecture 20: Lower K-Groups of Ring Spectra. Lecture 21: The Algebraic K-Theory of Spaces. Lecture 22: Constructible Sheaves. Lecture 23: Universal Local Acyclicity. Lecture 24: The Assembly Map. Lecture 25: The Assembly Map II. Lecture 26: The Assembly Map III. Lecture 27: Higher Torsion. Lecture 28: Another Assembly Map. Lecture 29: Another Assembly Map II. Lecture 30: The Whitehead Space. Lecture 31: The Whitehead Space II. Lecture 32: Proof of the Main Theorem. Lecture 33: Digression: Review of Microbundles Lecture 34: Overview of Part 3 Lecture 35: The Setup Lecture 36: The Combinatorial Step (Part I) Lecture 37: The Combinatorial Step (Part II) Lecture 38: Thickenings of a Point