It’s such an inaccurate thing to say that analytic number theory is a “dead field” or “dying field”. It’s an extremely active field but it’s fair to say innovation and new ideas are much needed in this field.
For the biggest breakthrough in analtyic number theory this year, think it might be the statistical result of Collatz conjecture by Terence Tao (again)?
https://www.quantamagazine.org/mathematician-terence-tao-and-the-collatz-conjecture-20191211/