1. INTRODUCTION

2. PAIRS AND RESOLUTIONS

3. INTRODUCTION TO THE SINGULARITIES OF THE MMP
3.A. Canonical singularities
3.B. Normal crossings
3.C. Pinch points
3.D. Cones
3.E. Log canonical singularities
3.F. Semi-log canonical singularities

4. HYPERRESOLUTIONS AND DU BOIS' ORIGINAL DEFINITION

5. AN INJECTIVITY THEOREM AND SPLITTING THE DU BOIS COMPLEX

6. HYPERRESOLUTION-FREE CHARACTERIZATIONS OF DU BOIS SINGULARITIES

7. SEMINORMALITY OF DU BOIS SINGULARITIES

8. A MULTIPLIER-IDEAL-LIKE CHARACTERIZATION OF COHEN-MACAULAY DU BOIS SINGULARITIES

9. THE KOLLAR-KOVACS SPLITTING CRITERION

10. LOG CANONICAL SINGULARITIES ARE DU BOIS

11. APPLICATIONS TO MODULI SPACES AND VANISHING THEOREMS

12. DEFORMATIONS OF DU BOIS SINGULARITIES

13. CHARACTERISTIC p>0 ANALOGS OF DU BOIS SINGULARITIES