  This is an expository paper which gives a quick introduction to Dwork's
conjecture about p-adic meromorphic continuation of his unit root zeta function
arising from algebraic geometry. Special emphasis is given to the case of
elliptic family and its relation to p-adic modular forms such as Gouv\^ea-Mazur
conjecture and some sort of p-adic Ramanujuan-Peterson conjecture. There is
also a section describing some of my personal interactions with Dwork.
