Minhyong Kim

Minhyong Kim is a South Korean mathematician who deals with arithmetic algebraic geometry.

Biography

Kim was founded in 1990 at Yale University in Serge Lang ( and Barry Mazur ) PhD ( Lower bounds for lattice vectors and arithmetic intersection theory ). After that, he was at the Massachusetts Institute of Technology, the Korea Institute for Advanced Study and was a professor at Columbia University, the University of Arizona, Purdue University and University College London. He is currently a professor at the University of Oxford. He is also a professor at the Pohang University of Science and Technology in South Korea.

In 2005, he gave a new proof (via the motivic fundamental group ) of the set of Carl Ludwig Siegel on the finite number of integer points in the case of the projective line minus three points.

Awards

In 2012 he received the Korean Ho -Am Prize for Science.

Writings

  • The non - abelian (or non- linear) method of Chabauty, in non- commutative geometry and number theory, Aspects of Mathematics E 37, Vieweg, 2006, pp. 179-185
  • With R. Sujatha, Laurent Lafforgue, A. Genestier, Ngo Bao Chau Autour des motifs, in J.-B. Bost, J.-M. Fontaine Autour des motifs, Panoramas et Syntheses 29, SMF, Paris 2009
  • Fundamental groups and Diophantine Geometry, Cent. Europ. J. Math, 8, 2010, 633-645
  • With John Coates Selmer Varieties for curves with CM Jacobeans, Kyoto J. Math, Volume 50, 2010, pp. 827-852
  • Galois Theory and Diophantine Geometry in nonabelian fundamental groups and Iwasawa Theory, London Mathematical Society Lecture Notes 393, Cambridge University Press 2012
  • P- adic L -functions and Selmer varieties associated to elliptic curves with complex multiplication, Annals of Mathematics, Volume 172, 2010, pp. 751-759
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