S. Paul Smith and James Zhang

ADDITIONAL COMMENTS:

Of the second-year courses, the first two are essential. The third (Lie theory) should be taken if one of the other two is not scheduled that year. Other courses which might usefully be taken in later years (or in the second year if only one of the above three is offered) include: commutative algebra, homological algebra, finite-dimensional algebras, Brauer groups, Azumaya algebras, ... and other algebra odds and ends.