Handbook of Geometry and Topology of Singularities IV

​José Luis Cisneros-Molina (PhD, University of Warwick 1999) is a researcher at the Mathematics Institute of the National Autonomous University of Mexico. His research interests are in Algebraic and Differential Topology, Differential Geometry and Singularity Theory, with a particular focus on generalizations of Milnor Fibrations for complex and real analytic maps. Lê Dũng Tráng (PhD, University of Paris 1969) is an Emeritus Professor at Aix-Marseille University. Previously he was Professor at the Universities of Paris VII (1975-1999) and Marseille, and was head of Mathematics at the ICTP at Trieste. One of the founders of modern Singularity Theory, he has made numerous contributions to morsification, the topology of complex singularities, polar varieties, and carousels, among other topics. José Seade (DPhil, University of Oxford 1980) is a full-time researcher at the Mathematics Institute of the National Autonomous University of Mexico. His research is in the theory of indices of vector fields and Chern classes for singular varieties, with applications to foliations, and Milnor’s fibration theorem for analytic maps. He was awarded the 2021 Solomon Lefschetz Medal by the Mathematical Council of the Americas.

lt;p>1 Lê D ng Tráng and Bernard Teissier, Limits of tangents, Whitney stratifications and a Plücker type formula.- 2  Anne Frühbis-Krüger and Matthias Zach, Determinantal singularities.- 3 Shihoko Ishii, Singularities, the space of arcs and applications to birational geometry.- 4 Hussein Mourtada, Jet schemes and their applications in singularities, toric resolutions and integer partitions.- 5 Wolfgang Ebeling and Sabir M. Gusein-Zade, Indices of vector fields and 1-forms.- 6 Shoji Yokura, Motivic Hirzebruch class and related topics.- 7 Guillaume Valette, Regular vectors and bi-Lipschitz trivial stratifications in o-minimal structures.- 8 Lev Birbrair and Andrei Gabrielov, Lipschitz Geometry of Real Semialgebraic Surfaces.- 9 Alexandre Fernandes and José Edson Sampaio, Bi-Lipschitz invariance of the multiplicity.- 10 Lorenzo Fantini and Anne Pichon, On Lipschitz Normally Embedded singularities.- 11 Ana Bravo and Santiago Encinas, Hilbert-Samuel multiplicity and finite projections.- 12 Francisco J. Castro-Jiménez, David Mond and Luis Narváez-Macarro, Logarithmic Comparison Theorems.