This paper has two parts. We first survey recent efforts on the Bloom conjecture which still
remains open in the case of complex dimension at least 4. Bloom's conjecture concerns the …

We propose a new class of geometric invariants called jet vanishing orders, and use them to
establish a new selection algorithm in the Kohn's construction of subelliptic multipliers for …

A solution to the effectiveness problem in Kohn's algorithm for generating holomorphic
subelliptic multipliers is provided for general classes of domains of finite type in C n, that …

For a point p in a smooth real hypersurface M⊂ Cn, where the Levi form has the nontrivial
kernel K10 p= 0, we introduce an invariant cubic tensor τ3 p: CTp× K10 p× K10 p→ …

We prove that the commutator type, the regular contact type and the Levi form type of order
s=(n− 2) are the same for a smooth pseudoconvex real hypersurface in C n with n≥ 3. In …

The purpose of this paper is to investigate order of contact on real hypersurfaces in Cn by
using Newton polyhedra which are important notion in the study of singularity theory. To be …

We provide a solution to the effectiveness problem in Kohn's algorithm for generating
holomorphic subelliptic multipliers for $(0, q) $ forms for arbitrary $ q $. As an application, we …

My research is concerned with positivity conditions that arise naturally when studying
important questions, such as regularity of the dbar-Neumann and the Bergman operators, in …

We provide a solution to the effectiveness problem in Kohn's algorithm for generating
holomorphic subelliptic multipliers for $(0, q) $ forms for arbitrary $ q $. As application, we …