Where is ignorance, and why does it not end with death?
Ignorance includes self-view. Similarly, "death", being the idea "a being" or "a person" dies, is also a self-view. Since "death" is a self-view, the idea/mental construct of "death" cannot end ignorance. 

When there is no self-view, there is no ignorance and there is also no idea of "death", as follows: 


  Bhikkhu, ‘I am’ is a conceiving; ‘I am this’ is a conceiving; ‘I shall
  be’ is a conceiving; ‘I shall not be’ is a conceiving; ‘I shall be
  possessed of form’ is a conceiving; ‘I shall be formless’ is a
  conceiving; ‘I shall be percipient’ is a conceiving; ‘I shall be
  non-percipient’ is a conceiving; ‘I shall be
  neither-percipient-nor-non-percipient’ is a conceiving. Conceiving is
  a disease, conceiving is a tumour, conceiving is a dart. By overcoming
  all conceivings, bhikkhu, one is called a sage at peace. And the sage
  at peace is not born, does not age, does not die....
  
  https://suttacentral.net/mn140/en/bodhi


Therefore, the 'Deathless' can end ignorance but 'death' cannot end ignorance.