It helps a lot to study algebraic topology if one
knows algebraic geometry. Atiyah and Hirzebruch
imported
K
theory
from algebraic geometry to algebraic topology, since
Hirzebruch himself studied algebraic varieties and
they understood the work of Grothendieck very well. A
more recent example is
the work of Voevodsky
.
Algebraic geometry is a huge subject with long
history. The following is a part of the field.
