# overview
My research focuses on several complex variables, Bergman kernel, and boundary regularity theory for Cauchy-Riemann equations.

# keywords[]
4903 Numerical And Computational Mathematics

# keywords[]
4903 Numerical And Computational Mathematics

# keywords[]
4903 Numerical And Computational Mathematics

# keywords[]
4903 Numerical And Computational Mathematics

# educationAndTraining[].organization.label
Swiss Federal Institute of Technology in Zurich - (Zurich, Switzerland)

# awardsAndHonors[].label
Association of Former Students University-Level Distinguished Achievement Award, The

# publications[].label
Global regularity of the dbar-Neumann problem: a survey of the  L^2-Sobolev theory

# publications[].label
On the existence of invariant, absolutely continuous measures

# publications[].label
DERHAM COHOMOLOGY OF MANIFOLDS CONTAINING THE POINTS OF INFINITE TYPE, AND SOBOLEV ESTIMATES FOR THE PARTIAL-DERIVATIVE-NEUMANN PROBLEM

# publications[].label
Geometric Sufficient Conditions for Compactness of the Complex Green Operator

# publications[].label
Aspects of the $L^{2}$-Sobolev theory of the $\bar{partial}$-Neumann  problem

# publications[].label
Plurisubharmonic defining functions, good vector fields, and exactness of a certain one form

# publications[].label
Geometric conditions which imply compactness of the  $\bar{partial}$-Neumann operator

# publications[].label
Geometric sufficient conditions for compactness of the complex Green  operator

# publications[].label
INTEGRAL-INEQUALITIES OF HARDY AND POINCARE TYPE

# publications[].label
Semi-classical analysis of Schrodinger operators and compactness in the  d-bar-Neumann problem

# publications[].label
Power series with integer coefficients in several variables

# publications[].publisher
European Mathematical Society - EMS - Publishing House GmbH

# publications[].label
Compactness of the partial derivative-Neumann problem on convex domains

# publications[].label
INTERPOLATION BETWEEN SOBOLEV AND BETWEEN LIPSCHITZ-SPACES OF ANALYTIC-FUNCTIONS ON STARSHAPED DOMAINS

# publications[].label
Good Stein Neighborhood Bases and Regularity of the d-bar Neumann  Problem

# publications[].label
Compactness of the $overline{partial}$-Neumann operator on the  intersection of two domains

# publications[].label
Good Stein neighborhood bases and regularity of the partial derivative-Neumann problem

# publications[].label
THE COMPLEX GREEN OPERATOR ON CR-SUBMANIFOLDS OF C-n OF HYPERSURFACE TYPE: COMPACTNESS

# publications[].label
Plurisubharmonic functions and subellipticity of the partial derivative-Neumann problem on non-smooth domains

# publications[].label
ESTIMATES FOR THE COMPLEX GREEN OPERATOR: SYMMETRY, PERCOLATION, AND INTERPOLATION

# publications[].label
Plurisubharmonic functions and subellipticity of the dbar-Neumann  problem on nonsmooth domains

# publications[].label
Exact regularity of Bergman, Szeg and Sobolev space projections in non pseudoconvex domains

# publications[].label
Levi foliations in pseudoconvex boundaries and vector fields that  commute approximately with d-bar

# publications[].label
Complex tangential flows and compactness of the $\bar{partial}$-  Neumann operator

# publications[].label
DUALITY OF HOLOMORPHIC FUNCTION SPACES AND SMOOTHING PROPERTIES OF THE BERGMAN PROJECTION

# publications[].label
A sufficient condition for global regularity of the partial derivative-Neumann operator

# publications[].label
Duality of holomorphic functions spaces und smoothing properties of the  Bergman projection

# publications[].label
SOBOLEV ESTIMATES FOR THE COMPLEX GREEN OPERATOR ON A CLASS OF WEAKLY PSEUDOCONVEX BOUNDARIES

# publications[].label
On equality of line type and variety type of real hypersurfaces in Cn

# publications[].label
Observations regarding compactness in the $overline{partial}$-Neumann  problem

# publications[].label
Boundary limits of the Bergman kernel and metric

# publications[].label
Semi-classical analysis of Schrodinger operators and compactness in the partial derivative-Neumann problem (vol 271, pg 267, 2002)

# publications[].label
COMPACTNESS OF HANKEL OPERATORS WITH CONTINUOUS SYMBOLS ON CONVEX DOMAINS

# publications[].label
A REMARK ON HOLDER SMOOTHING AND SUBELLIPTICITY OF THE PARTIAL-DERIVATIVE-NEUMANN OPERATOR

# publications[].label
Compactness of the d-bar-Neumann problem on convex domains

# publications[].label
Geometric conditions which imply compactness of the partial derivative-Neumann operator

# publications[].label
Analytic discs, plurisubharmonic hulls, and non-compactness of partial derivative-Neumann operator

# publications[].label
SOBOLEV ESTIMATES FOR THE DELTA-BAR-NEUMANN OPERATOR ON DOMAINS IN CN ADMITTING A DEFINING FUNCTION THAT IS PLURISUBHARMONIC ON THE BOUNDARY

# publications[].label
Orthogonal projections onto subspaces of the harmonic Bergman space

# publications[].label
Complex tangential flows and compactness of the partial derivative-Neumann operator

# publications[].label
COMPLETE HARTOGS DOMAINS IN C2 HAVE REGULAR BERGMAN AND SZEGO PROJECTIONS

# publications[].label
THE BERGMAN PROJECTION ON HARTOGS DOMAINS IN C-2

# publications[].label
CR-distributions and analytic continuation at generating Edges

# publications[].label
Analytic discs, plurisubharmonic hulls, and non-compactness of the  d-bar-Neumann operator

# publications[].label
Levi foliations in pseudoconvex boundaries and vector fields that commute approximately with partial derivative

# publications[].label
Plurisubharmonic defining functions, good vector fields, and exactness  of a certain one form

# publications[].label
Compactness of the    -Neumann Operator on the Intersection of Two Domains

# publications[].label
EXACT REGULARITY OF THE BERGMAN AND SZEGO PROJECTIONS ON DOMAINS WITH PARTIALLY TRANSVERSE SYMMETRIES

# publications[].label
The complex Green operator on CR-submanifolds of $mathbb{C}^{n}$ of  hypersurface type: compactness

# publications[].label
$L^{2}$-Sobolev theory for the complex Green operator

# publications[].label
The Bergman kernel function: Explicit formulas and zeroes

# publications[].label
Compactness of Hankel operators with continuous symbols on convex  domains

# publications[].label
Compactness of the Complex Green Operator

# publications[].label
Lectures on the L2-Sobolev Theory of the [d-bar]-Neumann Problem

# publications[].label
EQUIVALENCE OF REGULARITY FOR THE BERGMAN PROJECTION AND THE DELTABAR-NEUMANN OPERATOR

# publications[].label
Semi-classical analysis of Schrodinger operators and compactness in the a (partial derivative)over-bar-Neumann problem

# publications[].label
Complex tangential flows and compactness of the -Neumann operator

# publications[].label
Sobolev estimates for the complex Green operator on CR submanifolds of hypersurface type

# publications[].label
Sobolev estimates for the complex Green operator on CR submanifolds of hypersurface type (vol 206, pg 81, 1991)

# publications[].label
L-2-Sobolev theory for the complex Green operator

# publications[].label
The Bergman kernel function: explicit formulas and zeroes

# publications[].label
Boundary uniqueness theorems in C n 	extbf {C}^ n

# publications[].label
Estimates for the complex Green operator: symmetry, percolation, and  interpolation

# publications[].label
Compactness of the complex Green operator

# publications[].label
Aspects of the L2-Sobolev theory of the -Neumann problem

# publications[].label
Convex domains, Hankel operators, and maximal estimates

# publications[].label
Diederich--Fornae ss index and global regularity in the  $overline{partial}$--Neumann problem: domains with comparable Levi  eigenvalues

# publications[].label
CONVEX DOMAINS, HANKEL OPERATORS, AND MAXIMAL ESTIMATES

# publications[].label
A Sufficient condition for compactness of Hankel operators

# publications[].label
Sobolev estimates for the complex Green operator on CR submanifolds of  hypersurface type

# publications[].label
A sufficient condition for global regularity of the d-bar-Neumann  operator

# publications[].label
Integral inequalities of Hardy and Poincar type

# publications[].label
Compactness in the d-bar-Neumann problem

# publications[].label
On extending $L^{2}$ holomorphic functions from complex hyperplanes

# publications[].label
Isometrically removable sets for functions in the Hardy space are polar.

# publications[].label
Observations regarding compactness in the partial derivative-Neumann problem

# publications[].label
Interpolation between Sobolev and between Lipschitz spaces of analytic functions on starshaped domains

# publications[].label
Global Regularity of the -Neumann Problem: A Survey of the L2-Sobolev Theory

# publications[].label
Good Stein neighborhood bases and regularity of the -Neumann problem

# researcherOn[].label
Workshop on Analysis and Geometry in Several Complex Variables

# researcherOn[].awardedBy.label
National Science Foundation - (Arlington, Virginia, United States)

# streetAddress
Texas A&M University; Mathematics; 3368 TAMU

# etdChairOf[].label
Ayyuru, Mustafa (2014-08). Compactness of the ∂ ̅ -Neumann Operator on the Intersection Domains in ℂ^(N). Doctoral Dissertation.

# etdChairOf[].label
Munasinghe, Samangi (2006-08). Geometric sufficient conditions for compactness of the ∂-Neumann operator. Doctoral Dissertation.