Modern Methods in Complex Analysis

Thomas Bloom is Professor of Mathematics at the University of Toronto. David W. Catlin is Professor of Mathematics at Purdue University. John P. D'Angelo is Professor of Mathematics at the University of Illinois, Urbana. Yum-Tong Siu is William Elwood Byerly Professor of Mathematics at Harvard University.

• PrefaceList of ParticipantsProgram of the ConferenceThe Scientific Work of Robert C. Gunning3The Scientific Work of Joseph J. Kohn16On Invariants of Manifolds29Remarks on Analytic Hypoellipticity of [actual symbol not reproducible]41Finite Type Conditions and Subelliptic Estimates63Characterization of Certain Holomorphic Geodesic Cycles on Hermitian Locally Symmetric Manifolds of the Noncompact Type79On Kohn's Microlocalization of [actual symbol not reproducible] Problems119Complex Dynamics in Higher Dimension. II135Set Theoretical Real Analytic Spaces183An Isoperimetric Estimate for the Ricci Flow on the Two-Sphere191Isoperimetric Estimates for the Curve Shrinking Flow in the Plane201The Abel-Radon Transform and Several Complex Variables223On the Absence of Periodic Points for the Ricci Curvature Operator Acting on the Space of Kahler Metrics277The Maximum Principle and Related Topics283Very Ampleness Criterion of Double Adjoints of Ample Line Bundles291Integrability of Elliptic Overdetermined Systems of Nonlinear First-Order Complex PDE319The Holomorphic Contact Geometry of a Real Hypersurface327