Handbook of Geometry and Topology of Singularities VII

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 include 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 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. He is currently President of the Mexican Academy of Sciences.

• 1 Bill Bruce, Peter Giblin, David Mond, Stephen Pizer and Les Wilson, Jim Damon’s Contributions to Singularity Theory and Its Applications.- 2 Viktor A. Vassiliev, Real Function Singularities and Their Bifurcation Sets.- 3 Adam Parusinski and Armin Rainer, Perturbation Theory of Polynomials and Linear Operators.- 4 Goo Ishikawa, Frontal Singularities and Related Problems.- 5 Osamu Saeki, Introduction to Global Singularity Theory of Differentiable Maps.- 6 Claude Sabbah, Singularities of Functions: A Global Point of View.- 7 Mark McLean, Floer Theory, Arc Spaces and Singularities.- 8 Stephen S.-T. Yau and Huaiqing Zuo, Various Derivation Lie Algebras of Isolated Singularities.- 9 Bingyi Chen, Stephen S.-T. Yau and Huaiqing Zuo, Three-Dimensional Rational Isolated Complete Intersection Singularities.- 10 Ziquan Zhuang, Stability of klt Singularities.- 11 Qianyu Chen, Bradley Dirks and Mircea Mustata, An introduction to V-Filtration.- 12 Kiyoshi Takeuchi, Geometric Monodromies, Mixed Hodge Numbers of Motivic Milnor Fibers and Newton Polyhedra.- 13 Willem Veys, Introduction to the Monodromy Conjecture.- 14 Laurentiu G. Maxim, Jose Israel Rodriguez and Botong Wang, Applications of Singularity Theory in Applied Algebraic Geometry and Algebraic Statistics.