Topics in Singularity Theory

On the geometry of caustics by J. W. Bruce and V. M. Zakalyukin Lagrangian embeddings and Lagrangian cobordism by Yu. V. Chekanov Polynomial invariants of Legendrian links and plane fronts by S. Chmutov and V. Goryunov Solutions of the elliptic qKZB equations and Bethe ansatz I by G. Felder, V. Tarasov, and A. Varchenko Singular deformations of Lie algebras. Example: Deformations of the Lie algebra $L_1$ by A. Fialowski and D. Fuchs On imaginary plane curves and spin quotients of complex surfaces by complex conjugation by S. Finashin and E. Shustin Stationary phase integrals, quantum toda lattices, flag manifolds and the mirror conjecture by A. Givental On a problem of B. Teissier by S. M. Gusein-Zade Embedding theorems for local maps, slow-fast systems and bifurcation from Morse-Smale to Smale-Williams by Yu. Ilyashenko Topological invariants of fiber singularities by M. E. Kazaryan Informal complexification and Poisson structures on moduli spaces by B. A. Khesin Consistent partitions of polytopes and polynomial measures by A. Khovanskii On primitive elements in the bialgebra of chord diagrams by S. K. Lando Spaces of meromorphic functions on Riemann surfaces by S. M. Natanzon Hamiltonian loops and Arnold's principle by L. Polterovich Singularities in the presence of symmetries by I. Scherbak Discrete versions of the four-vertex theorem by V. D. Sedykh Excitation of elliptic normal modes of invariant tori in Hamiltonian systems by M. B. Sevryuk Ramified coverings of $S^2$ with one degenerate branching point and enumeration of edge-ordered graphs by B. Shapiro, M. Shapiro, and A. Vainshtein On zeros of the Schwarzian derivative by S. Tabachnikov Stratified Picard-Lefschetz theory with twisted coefficients by V. A. Vassiliev.