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This volume is a collection of papers presented at the XIII International Workshop on Real and Complex Singularities, held from July 27-August 8, 2014, in Sao Carlos, Brazil, in honor of Maria del Carmen Romero Fuster's 60th birthday. The volume contains the notes from two mini-courses taught during the workshop: on intersection homology by J.-P. Brasselet, and on non-isolated hypersurface singularities and Le cycles by D. Massey. The remaining contributions are research articles which cover topics from the foundations of singularity theory (including classification theory and invariants)...