This volume resulted from the conference A
Celebration of Algebraic Geometry, which was held at Harvard University
from August 25-28, 2011, in honor of Joe Harris' 60th birthday. Harris
is famous around the world for his lively textbooks and enthusiastic
teaching, as well as for his seminal research contributions. The
articles are written in this spirit: clear, original, engaging,
enlivened by examples, and accessible to young mathematicians.
The
articles in this volume focus on the moduli space of curves and more
general varieties, commutative algebra, invariant theory, enumerative
geometry both classical and modern, rationally connected and Fano
varieties, Hodge theory and abelian varieties, and Calabi-Yau and
hyperkähler manifolds. Taken together, they present a comprehensive
view of the long frontier of current knowledge in algebraic geometry.
Titles in this series are co-published with the Clay Mathematics Institute (Cambridge, MA).