To add to your post, lattice attacks (LLL/BKZ/etc) are becoming even more prevalent in cryptanalysis as they are the best known attacks against next-gen cryptos

To add to your post, lattice attacks (LLL/BKZ/etc) are becoming even more prevalent in cryptanalysis as they are the best known attacks against next-gen cryptosystems like NTRU, or anything based on the Learning-with-Errors problem, which includes schemes with "fun" properties like full P/poly homomorphism, attribute/predicate encryption, etc.