Good overview of singularity theory Can anyone recommend a good overview of singularity theory? In particular, quotient singularities...   
 A: A book I found very helpful was the book by János Kollár, named Lectures on Resolution of Singularities. In §2.3, he discusses Quotient Singularities, mostly in the context of resolution for surfaces.
A: Curves and Singularities by J.W. Bruce and P.J. Giblin gives a highly readable overview of basic singularity theory.
A: If you are looking for a more topological treatment of the subject, there is a two-volume Singularities of Differentiable Maps by Arnold, Varchenko and Gusein-Zade.
A: Perhaps Young person's guide to canonical singularities by Miles Reid.  The connection seems to be that at least for surfaces, canonical singularities are exactly quotient singularities by finite subgroups of SL(2,C), (rational double points).  In higher dimension the two types no longer coincide.  I am a novice, and merely repeating what I have noted from browsing.
A: Golubitsky and Guillemin Stable Mappings and their singularities is a fairly canonical reference for the Thom-Mather-Levine thread of ideas, building off of Whitney and Morse's work. 
A: There is the classic Singular Points of Complex Hypersurfaces by J. W. Milnor. Try also Topics in real and complex singularities by A. Dimca. 
