AsIseeit,thegraduatecourseinalgebramustprimarilypreparestudentstohandlethealgebrawhichtheywillmeetinallofmathematics:topology,partialdifferentialequations,differentialgeometry,algebraicgeometry,analysis,andrepresentationtheory,nottospeakofalgebraitselfandalgebraicnumbertheorywithallitsra