I am very proud, because few days ago Matt Kennedy and I have had our new paper, Essential normality and the decomposability of algebraic varieties, published in the New York Journal of Mathematics.
In this paper we treat a strong version of a conjecture of Arveson, which we call the “Geometric Arveson-Douglas Conjecture”, and we obtain some new results in particular cases (the conjecture is still far from being settled). I think that we do a good job in the introduction of the paper explaining what this conjecture is and what we do, so I invite you to take a look.
Now I want to say a few words about the New York Journal of Mathematics. I’ll say it in a different post.