I am a PhD student and I am really interested in Galois module theory, both in a "classical" and in a "nonclassical" sense. In the last months I have been reading about Hopf Galois theory, since it seems to be a nice way to find the structure of the ring of integers (or valuation ring, in the local case), when the classical approach fails.

In particular, I am reading Childs's book "Taming Wild Extensions: Hopf Algebras and Local Galois Module Theory", where he makes a nice exposition of the known facts untile 2000.

I was looking for some more recent results, but my search was not really fruitful. Could you please advise some more modern papers (or books, or survey, or anything you want) discussing about Hopf Galois module theory, so Galois module theory applied in the nonclassical setting of Hopf Galois extensions?

I am a first-year PhD student and I am really interested in Galois module theory, both in a "classical" and in a "nonclassical" sense. In the last months I have been reading about Hopf Galois theory, since it seems to be a nice way to find the structure of the ring of integers (or valuation ring, in the local case), when the classical approach fails.

In particular, I am reading Childs's book "Taming Wild Extensions: Hopf Algebras and Local Galois Module Theory", where he makes a nice exposition of the known facts untile 2000.

I was looking for some more recent results, but my search was not really fruitful. Could you please advise some more modern papers (or books, survey, notes, or anything you want) discussing about Hopf Galois module theory, so Galois module theory applied in the nonclassical setting of Hopf Galois extensions?

I am a PhD student and I am really interested in Galois module theory, both in a "classical" and in a "nonclassical" sense. In the last months I have been reading about Hopf Galois theory, since it seems to be a nice way to find the structure of the ring of integers (or valuation ring, in the local case), when the classical approach fails.

In particular, I am reading Childs's book "Taming Wild Extensions: Hopf Algebras and Local Galois Module Theory", where he makes a nice exposition of the known facts untile 2000.

I was looking for some more recent results, but my search was not really fruitful. Could you please advise some more modern papers (or books, or anything you want) discussing about Hopf Galois module theory, so Galois module theory applied in the nonclassical setting of Hopf Galois extensions?

I am a PhD student and I am really interested in Galois module theory, both in a "classical" and in a "nonclassical" sense. In the last months I have been reading about Hopf Galois theory, since it seems to be a nice way to find the structure of the ring of integers (or valuation ring, in the local case), when the classical approach fails.

In particular, I am reading Childs's book "Taming Wild Extensions: Hopf Algebras and Local Galois Module Theory", where he makes a nice exposition of the known facts untile 2000.

I was looking for some more recent results, but my search was not really fruitful. Could you please advise some more modern papers (or books, or survey, or anything you want) discussing about Hopf Galois module theory, so Galois module theory applied in the nonclassical setting of Hopf Galois extensions?