Includes bibliographical references.

Problems on the MongeAmpere equation in the plane ; Global solvability for a special class of vector fields on the torus ; Deformation in the large of some complex manifolds. II ; Gradient KahlerRicci solitons and complex dynamical systems ; On the summability of formal solutions for a class of nonlinear singular PDEs with irregular singularity ; Upper bounds on the slope of a genus 3 fibration ; The mean curvature equation in pseudohermitian geometry ; Moment results for the Heisenberg group interpreted using the Weyl calculus ; The cohomology of vector bundles on general nonprimary Hopf manifolds ; Gevrey regularity in time for generalized KdV type equations ; An Alexandrov type theorem for Reinhardt domains of Bbb C^2 ; The quantitative estimate of unique continuation and the cost of approximate controllability for coupled parabolic systems ; Complete invariant of a family of strongly pseudoconvex domains in _1 ingularity: Bergman function ; Anisotropic blowup and compactification ; Planar complex vector fields and infinitesimal bendings of surfaces with nonnegative curvature ; Bergman metric on Teichmuller spaces and moduli spaces of curves Claudia Anedda and Giovanni Porru ; Adalberto P Bergamasco and Paulo L Dattori da Silva ; Fabrizio Catanese and Paola Frediani ; Albert Chau and LuenFai Tam ; Hua Chen Zhuangchu Luo and Changgui Zhang ; Zhijie Chen and ShengLi Tan ; JihHsin Cheng ; Wayne M Eby ; Ning Gan and XiangYu Zhou ; Heather Hannah A Alexandrou Himonas and Gerson Petronilho ; J Hounie and E Lanconelli ; Ling Lei Gengsheng Wang and Liang Zhang ; Hing Sun Luk Stephen ST Yau and Weitian Zang ; Gerardo A Mendoza ; Abdelhamid Meziani ; SaiKee Yeung