Minhyong Kim () is a South Korean

mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematica ...

who specialises in

arithmetic geometry In mathematics, arithmetic geometry is roughly the application of techniques from algebraic geometry to problems in number theory. Arithmetic geometry is centered around Diophantine geometry, the study of rational points of algebraic varieties. ...

and

anabelian geometry Anabelian geometry is a theory in number theory which describes the way in which the algebraic fundamental group ''G'' of a certain arithmetic variety ''X'', or some related geometric object, can help to recover ''X''. The first results for nu ...

Biography

Kim received his PhD at

Yale University Yale University is a Private university, private Ivy League research university in New Haven, Connecticut, United States. Founded in 1701, Yale is the List of Colonial Colleges, third-oldest institution of higher education in the United Stat ...

in 1990 under the supervision of

Serge Lang Serge Lang (; May 19, 1927 – September 12, 2005) was a French-American mathematician and activist who taught at Yale University for most of his career. He is known for his work in number theory and for his mathematics textbooks, including the i ...

and

Barry Mazur Barry Charles Mazur (; born December 19, 1937) is an American mathematician and the Gerhard Gade University Professor at Harvard University. His contributions to mathematics include his contributions to Wiles's proof of Fermat's Last Theorem in ...

, going on to work in a number of universities, including

M.I.T. The Massachusetts Institute of Technology (MIT) is a private research university in Cambridge, Massachusetts, United States. Established in 1861, MIT has played a significant role in the development of many areas of modern technology and sci ...

, Columbia,

Arizona Arizona is a U.S. state, state in the Southwestern United States, Southwestern region of the United States, sharing the Four Corners region of the western United States with Colorado, New Mexico, and Utah. It also borders Nevada to the nort ...

Purdue Purdue University is a public land-grant research university in West Lafayette, Indiana, United States, and the flagship campus of the Purdue University system. The university was founded in 1869 after Lafayette businessman John Purdue donat ...

, the

Korea Institute for Advanced Study Korea is a peninsular region in East Asia consisting of the Korean Peninsula, Jeju Island, and smaller islands. Since the end of World War II in 1945, it has been politically divided at or near the 38th parallel between North Korea (Demo ...

, UCL (

University College London University College London (Trade name, branded as UCL) is a Public university, public research university in London, England. It is a Member institutions of the University of London, member institution of the Federal university, federal Uni ...

), the

University of Oxford The University of Oxford is a collegiate university, collegiate research university in Oxford, England. There is evidence of teaching as early as 1096, making it the oldest university in the English-speaking world and the List of oldest un ...

, where he was Head of the Number Theory Research Group, and the

University of Warwick The University of Warwick ( ; abbreviated as ''Warw.'' in post-nominal letters) is a public research university on the outskirts of Coventry between the West Midlands and Warwickshire, England. The university was founded in 1965 as part of ...

, where he was the Christopher Zeeman Professor of Algebra, Geometry, and the Public Understanding of Mathematics. He is currently the Director of the International Centre for Mathematical Sciences and Sir Edmund Whittaker Professor of Mathematical Sciences at the Maxwell Institute, the joint graduate school of the

University of Edinburgh The University of Edinburgh (, ; abbreviated as ''Edin.'' in Post-nominal letters, post-nominals) is a Public university, public research university based in Edinburgh, Scotland. Founded by the City of Edinburgh Council, town council under th ...

and

Heriot-Watt University Heriot-Watt University () is a public research university based in Edinburgh, Scotland. It was established in 1821 as the School of Arts of Edinburgh, the world's first mechanics' institute, and was subsequently granted university status by roya ...

. He is married to Larissa McGoldrick and has two children: Niall who studies Economics and Osin who studies Machine Learning, both at Cambridge.

Research

Kim has made contributions to the application of arithmetic

homotopy In topology, two continuous functions from one topological space to another are called homotopic (from and ) if one can be "continuously deformed" into the other, such a deformation being called a homotopy ( ; ) between the two functions. ...

theory to the study of Diophantine problems, especially to finiteness theorems of the Faltings– Siegel type. His work was featured in 2017 in the

Quanta Magazine ''Quanta Magazine'' is an editorially independent online publication of the Simons Foundation covering developments in physics, mathematics, biology and computer science. History ''Quanta Magazine'' was initially launched as ''Simons Science ...

, where he described his work as being inspired by physics.

Awards

In 2012, Minhyong Kim received the Ho-Am Prize for Science, with the Ho-Am committee citing him as "one of the leading researchers in the area of arithmetic algebraic geometry". He was elected as a Fellow of the

American Mathematical Society The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, ...

in the 2024 class of fellows.

Selected publications

"''p''-adic ''L''-functions and Selmer varieties associated to elliptic curves with complex multiplication"
''

Annals of Mathematics The ''Annals of Mathematics'' is a mathematical journal published every two months by Princeton University and the Institute for Advanced Study. History The journal was established as ''The Analyst'' in 1874 and with Joel E. Hendricks as t ...

''
"The motivic fundamental group of P1\ and the theorem of Siegel"
''

Inventiones Mathematicae ''Inventiones Mathematicae'' is a mathematical journal published monthly by Springer Science+Business Media. It was established in 1966 and is regarded as one of the most prestigious mathematics journals in the world. The current (2023) managing ...

''
"Massey products for elliptic curves of rank 1"
''

Journal of the American Mathematical Society The ''Journal of the American Mathematical Society'' (''JAMS''), is a quarterly peer-reviewed mathematical journal published by the American Mathematical Society. It was established in January 1988. Abstracting and indexing This journal is abs ...

''
"Selmer varieties for curves with CM Jacobians"
(with John H. Coates)

References

Professor Kim's University of Warwick profile page
* {{DEFAULTSORT:Kim, Minhyong 1963 births Living people Academics of University College London Columbia University faculty Fellows of Merton College, Oxford Massachusetts Institute of Technology faculty Academic staff of Pohang University of Science and Technology Purdue University faculty Recipients of the Ho-Am Prize in Science Seoul National University alumni Academic staff of Seoul National University 21st-century South Korean mathematicians South Korean expatriates in the United Kingdom South Korean expatriates in the United States University of Arizona faculty Yale University alumni Arithmetic geometers 20th-century South Korean mathematicians Fellows of the American Mathematical Society