Lectures on Functor Homology

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This book features a series of lectures that explores three different fields in which functor homology (short for homological algebra in functor categories) has

Lecture Notes in Algebraic Topology

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The amount of algebraic topology a graduate student specializing in topology must learn can be intimidating. Moreover, by their second year of graduate studies,

Lectures on Algebraic Topology

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This is essentially a book on singular homology and cohomology with special emphasis on products and manifolds. It does not treat homotopy theory except for som

Fourier-Mukai Transforms in Algebraic Geometry

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This work is based on a course given at the Institut de Mathematiques de Jussieu, on the derived category of coherent sheaves on a smooth projective variety. It

Lecture Notes on Motivic Cohomology

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The notion of a motive is an elusive one, like its namesake "the motif" of Cezanne's impressionist method of painting. Its existence was first suggested by Grot