Minhyong Kim is a mathematician working in the area of arithmetic geometry, which explores the interaction between structures of number theory and geometry with particular emphasis on the study of schemes of finite type over the integers. He is especially interested in applications of topology to number theory. Recently, he has started exploring the possibility of connections between arithmetic geometry and quantum field theory. In his spare time, he works rather seriously on educational outreach, including adult education, teacher training, and motivational talks for students. He has published four books in Korean on mathematics written for the general public.
Before Warwick, he held professorships at eight universities on three continents. Most recently, he was research professor of number theory at the University of Oxford and the head of their number theory research group.