Section 1 Supercritical processes -- Supercritical branching processes: a unified approach -- On the statistics of controlled branching processes -- Section 2 Critical processes -- Aspects of the critical case of a generalized Galton-Watson branching process -- Critical general branching processes with long-living particles -- Critical branching processes with random migration -- Section 3 Processes with immigration -- Some results for multitype Bellman-Harris branching processes with state-dependent immigration -- Branching processes as sums of dependent random variables -- Non-homogenous decomposable branching processes -- Age-dependent branching processes with state dependent immigration -- Section 4 Processes with varying environments -- A new class of branching processes -- The extinction time of the inhomogeneous branching process -- Smith-Wilkinson branching proceses with random environment and dependence with complete connections -- Section 5 Measure-valued processes -- Super-Brownian motions in catalytic media -- Multitype branching particle systems and high density limits -- Section 6 Variants on the branching model -- Representation of Markov chains as stochastic differential equations -- An extension of a Galton-Watson process to a two density dependent model -- Multitype contact branching process