# Minhyong Kim

김민형

### Mathematician and author

Director, International Centre for Mathematical Sciences, Edinburgh

Edmund Whittaker Professor of Mathematical Sciences, University of Edinburgh

Professor of Mathematics, Heriot-Watt University

Faculty Profile at the University of Edinburgh

### Edinburgh cityscape from the film The Illusionist

Current Events

27-31 May, 2024

ICMS Edinburgh

In the last few years, there has been a rapid growth in the community of mathematicians using proof assistants to formalise mathematical results. Besides verifying the correctness of theorems beyond any reasonable doubt, formalisation has applications to teaching and communication of mathematics, and will soon be able to help in mathematical research.

The main objectives of this workshop are to develop the community of female mathematicians who are skilled users of proof assistants, and to build the connections of this community with researchers in the related area of computational algebra.

10-21 June, 2024

ICMS Edinburgh

The past decade has seen a remarkable evolution of the central notion of symmetry in mathematical physics. The new framework that has emerged encompasses not only symmetries captured by a discrete or continuous group, but also more general notions of symmetry encoded in more sophisticated mathematical structures such as higher groups and fusion categories and employs state of the art developments in topological quantum field theory (TQFT). This emerging viewpoint is known as "categorical symmetry" and has led to a paradigm shift in how researchers from disparate fields organise and classify quantum field theories.

My main preoccupation at the moment is a new project of the ICMS with the name Mathematics for Humanity. It's main goal is to support mathematical activities around the world with potential for direct impact on the betterment of the human condition. A subsidiary goal is to provide a unifying umbrella for many things of this nature that mathematicians are already doing. By providing this unifying framework, I hope the value of such activity is better recognised and that the practioner can enjoy a greater sense of mission. Please look at the webpage linked above and submit proposals for activities. I hope especially to attract new ideas from young mathematicians.

Mathematics for Humanity: Online Learning Seminar

Session 4:

21 March 2024, 17:00 UK time

Speaker: Alex Psomas

Title: Theory and Practice of Fair Food Allocation

Summary

I am a mathematician working primarily on arithmetic geometry, the study of spaces built out of finitely-generated systems of numbers. My main contribution to mathematics is the discovery of the non-abelian method of Chabauty, a theoretical framework for applying ideas of topology, especially homotopy theory, to the algorithmic resolution of Diophantine equations. I am also interested in mathematical physics, the mathematical structure of matter and spacetime in general, and topological quantum field theory in particular.

I have a keen interest in public engagement. I have given numerous presentations since 2010 at schools, teacher training workshops, and corporate training programmes, as well as 'talk concerts' on a wide range of topics in mathematics and its interface with other domains of inquiry, especially physics and economics. If you are interested in having me at such an event, do not hesitate to contact me. I have published nine books so far written for the general public. My interest in engagement is an important component of the way I've put together this site. I'm trying to make the material accessible and friendly to any curious person, even while providing standard information that might be useful for my colleagues in academia. I hope the style is not off-putting to the latter. However, I haven't anything like the energy and creativity that some of the serious communicators of science are able to put into their website. As a result, I fear that my modest effort here will look silly both to colleagues and to the general public. As an extension of public engagement, I am a consultant for WoongjinThinkbig, one of the oldest educational publishers in Korea. I am doing my best to help them develop educational software.

I work at the International Centre for Mathematical Sciences, a gathering place for mathematical scientists from all over the world, located in the beautiful city of Edinburgh. The city is surrounded by nature, as rugged as can be in a major city, even while it's steeped in history, including intellectual history. It's a real privilege to trace the footsteps of inspiring figures like David Hume, Adam Smith, Mary Somerville, James Clerk Maxwell, and Michael Atiyah on a daily basis. I am also a distinguished professor at the Korea Institute for Advanced Study in the city of Seoul, itself a beautiful place in some similar and some different ways.

## Brief Professional Biography

I grew up in Seoul, Korea, studied mathematics at Seoul National University, then received my Ph.D. in Mathematics at Yale University under the direction of Igor Frenkel, Serge Lang, and Barry Mazur (Harvard). I moved on to faculty positions at MIT, Columbia University, the University of Arizona, Purdue University, the Korea Institute for Advanced Study, University College London, Pohang University of Science and Technology, Ewha Womans University, and the University of Oxford, where I was the head of the number theory research group. Most recently before moving to Edinburgh, I was Christopher Zeeman Professor of Algebra, Geometry, and Public Understanding of Mathematics at the University of Warwick.

It is perhaps not so well known that a mathematician's life involves a good deal of travel. In particular, I have held visiting professorships at numerous institutions including the University of Paris, University of Illinois, University of Kyoto, Seoul National University, ICTS Bangalore, and the University of Toronto.

Artwork by Son Yein

What is Mathematics?

The part of physics where experiments are cheap. (V.I. Arnold)

It appears that mathematics as we know it arises from the nature of our brains and the embodied experience. (G. Lakoff and R. Nunez)

The answer, it appears, is that any argument which is carried out with sufficient precision is mathematical. (D. Gale and L. Shapley)

If all mathematics disappeared today, physics would be set back exactly one week. (R.P. Feynman)

To those who do not know mathematics it is difficult to get across a real feeling as to the beauty, the deepest beauty, of nature ... If you want to learn about nature, to appreciate nature, it is necessary to understand the language that she speaks in. (R.P. Feynman)

Its Applications (M. de Unamuno)