We study various stabilities of Alexander polynomials of knots and links.

In particular, we introduce some methods to construct knots such that the zeros of its Alexander polynomial are

(i) modulus one, (i.e. circular stable),

(ii) real, (i.e. real stable), or

(iii) modulus one or real, (i.e. bi-stable).

This is a joint work with K. Murasugi (Univ. of Toronto)