Monthly Archives: September 2012

Core traveling library

I’ll be spending the academic year 2012-13 at UCLA, and so leaving one well-stocked university library for another. Nevertheless, like every mathematician, I have some favorite books — for research, teaching, and finishing my book — that I can’t be without. After a lot of fussing, in an effort to pack light, I’ve chosen a core traveling library to take from Cambridge to Los Angeles:

Adem/Milgram, Cohomology of finite groups
Atiyah/Macdonald, Introduction to commutative algebra
Benson, Representations and cohomology, I and II
Benson, Polynomial invariants of finite groups
Bloch, Lectures on algebraic cycles
Brown, Cohomology of groups
Eisenbud, Commutative algebra with a view toward algebraic geometry
Fulton, Intersection theory
Fulton, Introduction to toric varieties
Fulton/Harris, Representation theory
Garibaldi/Merkurjev/Serre, Cohomological invariants of algebraic groups
Griffiths/Harris, Principles of algebraic geometry
Hartshorne, Algebraic geometry
Kobayashi, Hyperbolic manifolds and holomorphic mappings
Kollár, Lectures on resolution of singularities
Kollár, Shafarevich maps and automorphic forms
Kollár/Mori, Birational geometry of algebraic varieties
Lang, Algebra
Lazarsfeld, Positivity in algebraic geometry, I and II
Milne, Etale cohomology
Mumford/Fogarty, Geometric invariant theory
Mukai, An introduction to invariants and moduli
Schwartz, Unstable modules over the Steenrod algebra and Sullivan’s fixed point set conjecture
Serre, Cohomologie galoisienne
Serre, Linear representations of finite groups
Seshadri, Fibrés vectoriels sur les courbes algebriques
Voisin, Hodge theory and complex algebraic geometry, I and II

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