Minhyong Kim
Encyclopedia
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 at the University of Oxford
, and holds the Yun-san Chair in Mathematics at the Pohang University of Science and Technology
.
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.
Mathematician
A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....
who specialises in arithmetical algebraic geometry. He received his PhD at Yale University
Yale University
Yale University is a private, Ivy League university located in New Haven, Connecticut, United States. Founded in 1701 in the Colony of Connecticut, the university is the third-oldest institution of higher education in the United States...
in 1990 under the supervision of Serge Lang
Serge Lang
Serge Lang was a French-born American mathematician. He was known for his work in number theory and for his mathematics textbooks, including the influential Algebra...
and Barry Mazur
Barry Mazur
-Life:Born in New York City, Mazur attended the Bronx High School of Science and MIT, although he did not graduate from the latter on account of failing a then-present ROTC requirement. Regardless, he was accepted for graduate school and received his Ph.D. from Princeton University in 1959,...
, going on to work in a number of universities, including M.I.T.
Massachusetts Institute of Technology
The Massachusetts Institute of Technology is a private research university located in Cambridge, Massachusetts. MIT has five schools and one college, containing a total of 32 academic departments, with a strong emphasis on scientific and technological education and research.Founded in 1861 in...
, Columbia
Columbia University
Columbia University in the City of New York is a private, Ivy League university in Manhattan, New York City. Columbia is the oldest institution of higher learning in the state of New York, the fifth oldest in the United States, and one of the country's nine Colonial Colleges founded before the...
, Arizona
University of Arizona
The University of Arizona is a land-grant and space-grant public institution of higher education and research located in Tucson, Arizona, United States. The University of Arizona was the first university in the state of Arizona, founded in 1885...
, Purdue
Purdue University
Purdue University, located in West Lafayette, Indiana, U.S., is the flagship university of the six-campus Purdue University system. Purdue was founded on May 6, 1869, as a land-grant university when the Indiana General Assembly, taking advantage of the Morrill Act, accepted a donation of land and...
, the Korea Institute for Advanced Study
Korea Institute for Advanced Study
The Korea Institute for Advanced Study is an advanced research institute in Korea. It is located on a campus at 207-43 Cheongnyangni 2-dong, Dongdaemun-gu, Seoul, Korea....
, and UCL (University College London
University College London
University College London is a public research university located in London, United Kingdom and the oldest and largest constituent college of the federal University of London...
). He is currently Professor of Number Theory and Fellow of Merton College at the University of Oxford
University of Oxford
The University of Oxford is a university located in Oxford, United Kingdom. It is the second-oldest surviving university in the world and the oldest in the English-speaking world. Although its exact date of foundation is unclear, there is evidence of teaching as far back as 1096...
, and holds the Yun-san Chair in Mathematics at the Pohang University of Science and Technology
Pohang University of Science and Technology
Pohang University of Science and Technology or POSTECH is a private university, based in Pohang, South Korea, which is dedicated to research and education in science and technology...
.
His most notable contribution to number theory
Number theory
Number theory is a branch of pure mathematics devoted primarily to the study of the integers. Number theorists study prime numbers as well...
has been the application of arithmetic
Arithmetic
Arithmetic or arithmetics is the oldest and most elementary branch of mathematics, used by almost everyone, for tasks ranging from simple day-to-day counting to advanced science and business calculations. It involves the study of quantity, especially as the result of combining numbers...
homotopy
Homotopy
In topology, two continuous functions from one topological space to another are called homotopic if one can be "continuously deformed" into the other, such a deformation being called a homotopy between the two functions...
to the study of Diophantine problems
Diophantine equation
In mathematics, a Diophantine equation is an indeterminate polynomial equation that allows the variables to be integers only. Diophantine problems have fewer equations than unknown variables and involve finding integers that work correctly for all equations...
, especially to finiteness theorems of the Faltings–Siegel type.
Publications
- "p-adic L-functions and Selmer varieties associated to elliptic curves with complex multiplication", Annals of MathematicsAnnals of MathematicsThe Annals of Mathematics is a bimonthly mathematical journal published by Princeton University and the Institute for Advanced Study. It ranks amongst the most prestigious mathematics journals in the world by criteria such as impact factor.-History:The journal began as The Analyst in 1874 and was...
- "The motivic fundamental group of P1∖{0,1,∞} and the theorem of Siegel", Inventiones MathematicaeInventiones MathematicaeInventiones Mathematicae, often just referred to as Inventiones, is a mathematical journal published monthly by Springer Verlag. It was founded in 1966.-Editors:...
- "Massey products for elliptic curves of rank 1", Journal of the American Mathematical SocietyJournal of the American Mathematical SocietyThe Journal of the American Mathematical Society , is a quarterly, peer reviewed, mathematical journal published by the American Mathematical Society. The editors are Weinan E, Sergey Fomin, Gregory Lawler, John W. Morgan, Karl Rubin, and Terence Tao...
- "Selmer varieties for curves with CM Jacobians" (with John H. Coates)