Topics which synthesize analytic and algebraic techniques are typically the most difficult, because most people have trouble with one or the other. Some such areas, all of which also have an enormous number of prerequisites, are algebraic geometry, algebraic number theory, ergodic theory and arithmetic combinatorics.

Topics which synthesize analytic and algebraic techniques are typicall

1.	Topics which synthesize analytic and algebraic techniques are typically the most difficult, because most people have trouble with one or the other. Some such areas, all of which also have an enormous number of prerequisites, are algebraic geometry, algebraic number theory, ergodic theory and arithmetic combinatorics.
Answer» ONG>Answer: in this the number which geometry ALGEBRAIC or number theory..we have only ergodic theory.