Nikolai Chebotaryov's "Problems in Modern Galois Theory"

This is an English translation of Nikolai Chebotaryov’s paper “Die Probleme der modernen Galoisschen Theorie” from 1932. An excerpt from this paper was given as a lecture at the International Congress of Mathematicians in Z"urich in 1932. With the lecture being given to commememorate the centennial of Evariste Galois’ death, the paper is a broad survey of various contemporary problems in Galois Theory the author found represented the culminations of work done by Galois and his successors.