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Notes

Rutgers

Undergraduate
Linear Algebra
János Komlós
Complex Variables - Stephen Greenfield
Differential Geometry - Sagun Chanillo
Mathematical Logic - Simon Thomas

Graduate
Algebraic Geometry -
Anders Buch
Algebraic Topology - Peter Landweber, Steven Ferry
Introduction to Geometry and Topology - Feng Luo
Abstract Algebra - Diane Maclagan, Simon Thomas
Commutative Algebra - Diane Maclagan
Homological AlgebraCharles Weibel

U. of Penn.

Algebraic Topology I and II - Jonathan Block
Complex Algebraic Geometry I and II - Ron Donagi
Complex Analysis - Charles Epstein
Moduli Spaces - Angela Gibney
Morse Theory - Jonathan Block
Real Analysis - Joachim Krieger

ICTP Summer School on Hodge Theory



Algebraic varieties and schemes over any scheme, Nonsingular Varieties - Trang
Complex manifolds, Kahler metrics, differential and harmonic forms - Cattani
Topology, Cohomology and Sheaf Theory - Tu
Variation of HS's, degenerations of HS's - Cattani
Hodge theory of maps - Migliorini and de Cataldo
Hodge structures, mixed hodge structures - ElZein
Period Domains - Carlson
Normal Functions - Brosnan
Chow Groups - Murre
Applications to the Beilinson-Bloch Conjecture - Green
Algebraic de Rham Cohomology and Betti Cohomology - Schnell
Hodge Loci and Absolute Hodge Classes - Charles
Deligne's Theorem on Abelian Varieties - Schnell and Kerr
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