Essentially the general forms of the following conjectures are consequently false, or false n>2:
The Dixmier conjecture
The Poisson conjecture
Zhao’s Vanishing Conjecture and Homogeneous Vanishing Conjecture
The Universal Mathieu Conjecture
Gaussian Moments Conjecture
Subtree Shuffling Conjecture
Shuffle Chain Conjecture
Because all of these conjectures are either equivalent to the Jacobian Conjecture, or would directly imply it to be true, which at n>2 we now know the conjecture is false.