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 cyc*les

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*