When We Cease to Understand the World

by Benjamín Labatut

One of his greatest strokes of genius was expanding the notion of the point. Beneath his gaze, the humble dot was no longer a dimensionless position; it swelled with a complex inner structure. Where others had seen a simple locus without depth, size or breadth, Grothendieck saw an entire universe. No one had proposed something so bold since Euclid. • For years, he devoted the whole of his energy, twelve hours a day, seven days a week, to mathematics. He did not read newspapers, watch television or go to the cinema. He liked ugly women, squalid apartments, dilapidated rooms. He worked cloistered in a cold office with flaking paint falling from the walls, his back turned to the only window, with pen and paper on his desk and only four objects as decoration: his mother’s death mask, a small wire sculpture of a goat, a jar of Spanish olives, and a charcoal portrait of his father, drawn in Le Vernet concentration camp.