Minhyong Kim

Minhyong Kim is a South Korean mathematician who specialises in arithmetical algebraic geometry. He received his PhD at Yale University in 1990 under the supervision of Serge Lang and Barry Mazur, going on to work in a number of universities, including M.I.T., Columbia, Arizona, Purdue, the Korea Institute for Advanced Study, and UCL (University College London). He is currently Professor of Number Theory and Fellow of Merton College^[1] at the University of Oxford.

His most notable contribution to number theory has been the application of arithmetic homotopy to the study of Diophantine problems, especially to finiteness theorems of the Faltings–Siegel type.

In 2012, Minhyong Kim received the Ho-Am Prize for Science,^[2] with the Ho-Am committee citing him as "one of the leading researchers in the area of arithmetic algebraic geometry".

Education

• 1982 - 1985 B.S. Department of Mathematics, Seoul National University
• 1985 - 1990 Ph.D. Department of Mathematics, Yale University

Work

• 1990 – 1993 C. L. E. Moore Instructor, Massachusetts Institute of Technology
• 1993 – 1996 J.F. Ritt Assistant Professor, Columbia University
• 1995 – 2007 Assistant Professor, Associate Professor, and Professor, University of Arizona
• 2001 – 2002 Professor, Korea Institute for Advanced Study
• 2005 – 2007 Professor, Purdue University
• 2007 – 2011 Chair of Pure Mathematics, University College London
• 2010 – 2013 Yun San Chair Professor, Pohang University of Science and Technology
• 2013 – Present   Invited Chair Professor, Seoul National University
• 2011 – Present   Professor of Number Theory (RSIV)
• 2011 – Present   Fellow of Merton College, University of Oxford

Grants and awards

• 1991 - 1993 NSF grant DMS-9106444
• 1997 - 2001 NSF grant DMS-9701489 : ‘Effective Diophantine Geometry over Function Fields’.
• 1998 - 2002 NSF Group Infrastructure Grant : ‘Southwestern Center for Arithmetic Geometry’, Co-PI with six other researchers from the University of Arizona, UTexas Austin, USC, and the University of New Mexico.
• 2003 - 2006 NSF Infrastructure grant : ‘Southwestern Center for Arithmetic Geometry’, Co-PI with nine other researchers from the University of Arizona, UTexas Austin, USC, UC Berkeley, and the University of New Mexico.
• 2005 - 2008 NSF grant DMS-0500504 : ‘Motivic fundamental groups, multiple polylogarithms, and Diophantine geometry’.
• 2006 - 2008 Japan Society for the Promotion of Science, Core-to-Core program ‘New Developments of Arithmetic Geometry, Motive, Galois Theory, and Their Practical Applications,’ Foreign member
• 2008 EPSRC grant, 46437, for workshop ‘Non-commutative constructions in arithmetic and geometry’
• 2009 EPSRC grant, EP/G024979/1, 3-year project on ‘Non-commutative fundamental groups in Diophantine geometry’, March
• 2012 Ho-Am Prize in Science

Publications

• "p-adic L-functions and Selmer varieties associated to elliptic curves with complex multiplication", Annals of Mathematics
• "The motivic fundamental group of P1∖{0,1,∞} and the theorem of Siegel", Inventiones Mathematicae
• "Massey products for elliptic curves of rank 1", Journal of the American Mathematical Society
• "Selmer varieties for curves with CM Jacobians" (with John H. Coates)

References

• Professor Kim's Oxford University Mathematical Institute profile page
• Minhyong Kim's Personal website
• Minhyong Kim at the Mathematics Genealogy Project