A process for the continuous polymerization of monomer, the process comprising (a) adding monomer and catalyst to an annulus within an annular reactor to form a polymerization medium within the annulus, where the annulus includes the space between an outer casing wall and an inner tubular wall, (b) allowing the polymerization medium a sufficient residence time within the annulus to provide a living polymer product, and (c) removing the polymer product from the annulus.