Notes are based on lectures given at the Institute for Advanced Study, 1959-1960.

Lectures by James W. Alexander 1935-1936 ; notes by Leo Zippin.

Lectures delivered by Lamberto Cesari at the Institute for Advanced Study, Princeton, NJ, Nov., 1948.

Talk based on the paper [BKU] and related works given in the references in that work, and on extensive discussions with Mark Green and Colleen Robles.

Lecture notes taken at Institute for Advanced Study, 1936.

In algebraic geometry the use of complex analytic methods differential geometry and PDEs | is long standing and far reaching for rather deep reasons the results these methods give (Hodge theory, vanishing theorems) have not been replaced by purely algebraic techniques. Two central areas in the subject are moduli and classification of varieties today we will discuss two results in which the use of analytic methods through the curvature properties of the Hodge bundles plays a central role.

Developments in the theory of the electron / A. Pais : containing also an abstract of Field and charge measurements in quantum theory, a paper by N. Bohr and L. Rosenfeld.

Lectures given at Institute for Advanced Study, 1935-36; notes by Prof. Weyl and Dr. Leonard M. Blumenthal.

Record of a seminar, academic year 1937-1938; notes by Herbert Busemann.

Clay Lecture at the INI, June 2022. The lecture is based on joint work with Mark Green and Colleen Robles. Theme of the lecture is global properties of period mappings with applications to the geometry of completions of moduli spaces.

This lecture will discuss the global structure of period mappings (variation of Hodge structure) defined over complete, 2-dimensional algebraic varieties. Some applications to moduli of general type algebraic surfaces will also be presented.

Lectures at Institute for Advanced Study, 1973(?).

Outline I. Introduction II. Extension data for a mixed Hodge structure III. Extension data for limiting mixed Hodge structures IV. Period mappings to extension data (A) V. Period mappings to extension data (B) Appendix to Sections IV and V: Examples VI. Local Torelli conditions VII. Global structure of period mappings from complete surfaces