I too have been engrossed in "Burial Rights" and, having finished it, immediately passed it on to DD. I agree with other comments about it being atmospheric and dark - in more senses than one. It tried to tell a human story and I almost felt as though I was actually observing events myself. I see that there are plans for it to be filmed and am very curious as to whether a film would have the same effect on me. It did make me remember two books that I read nearly fifty years ago when I was a teenager, "Avalon" by Anya Seaton and "An Old Captivity" by Nevil Shute. Parts of both books, as I remember (I no longer have copies), were set in much earlier times in Iceland (and Greenland in Avalon's case.) Some of the hardships and details of everyday life certainly resonated with those described in "Burial Rights."
I would certainly look out for another novel by Hannah Kent, does she intend writing more? She has spent many years researching and writing this book, does she think she will use her knowledge of Iceland to set further books there or will she use her talent for research to explore entirely different topics for future books? Thank you to Hannah!