Designs for plasma confinement in fusion reactors such as ITER or the US Compact Ignition Tokamak (CIT) often incorporate superconducting magnet coils. The magnets are envisioned to consist of four parts: superconductors; structural material; metal stabilizer; and electrical insulators. Of these, the metal stabilizer, usually copper, and the electrical insulators, usually considered to be polymer matrix composites, are the most sensitive to radiation and may limit the useful lifetime of fusion reactors. Epoxies are currently the matrix materials of choice because of their relative ease of processing. Bismaleimides and polyimides are also are interest for their potentially higher radiation stability. This report describes research on these materials