## Modern Mathematics in the Light of the Fields MedalsThis small book demonstrates the evolution of certain areas of modern mathematics by examining the work of past winners of the Fields Medal, the "Nobel Prize" of mathematics. Foreword by Freeman Dyson. |

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achievements Ahlfors algebraic curves algebraic geometry algebraic number algebraic varieties analytic applications area of mathematics Atiyah awarded Banach spaces Bombieri Bourgain branches of mathematics bundle Burnside problem classical cobordism cobordism theory cohomology compact complicated computing concept congress connected constructed defined Deligne diffeomorphic differential equations Donaldson Drinfel'd dynamical systems example Faltings field theory Fields committee Fields medal Fields medalists Fields prize finite foliation form Q four-dimensional functions Grothendieck Hilbert homeomorphic homology homotopy groups Hormander ideas important index theorem integral invariants Jones polynomials Julia set knot Kodaira Lie groups mappings Margulis math mathematicians method Milnor modern mathematics Mordell conjecture multi-dimensional Novikov number theory obtained operators papers physics Poincare conjecture Pontryagin prob proof properties proved quantum groups quasi-crystals recently Riemann surfaces Selberg Serre singularities Smale smooth structures solution solved Soviet mathematicians sphere theory of dynamical Thom three-dimensional Thurston tion topology trajectories two-dimensional Vasil'ev Witten Yoccoz zero zeta-function