12 Answers votes newest views recent 3Algebraic geometry examples 2Uniqueness/motivation for the Suslin-Voevodsky theory of relative cycles. 13Relation between motivic homotopy category and the derived category of motives 9Work of ICM 2010 plenary speakers (and other humans) 0Intuitive crutches for higher dimensional thinking 3Can a mathematical definition be wrong? 6Picard groups of non-projective varieties 5Why the Killing form? 4Why do so many textbooks have so much technical detail and so little enlightenment? 1Grothendieck’s Galois Theory today 3Geometric flavored textbook on algebra 7What should be learned in a first serious schemes course?