The invention relates to a polymer composition that includes a branched alkene which is cationically polymerizable as well as a glass-forming comonomer and/or a vinyl comonomer containing benzocyclobutene as the pendant group. The structure of the polymer composition can take various forms: linear random copolymer, linear block copolymer, star random copolymer, star block copolymer, and other hyperbranched polymers. The copolymer composition can undergoes crosslinking at elevated temperatures (preferably above 180° C.).