My work is in Algebraic Geometry. My focus is on singularities and the effect they have on the local and global geometry of varieties. Among my interests are topics connected with higher-dimensional birational geometry (singularities of pairs, multiplier ideals), topology (Milnor fibrations, local systems), number theory (Igusa local zeta functions), representation theory (D-modules), combinatorics (hyperplane and subspace arrangements), commutative algebra (test ideals), and differential geometry (geometric stability). I am sponsored by NSF and the H.J. Kenna endowment.