nLab Minhyong Kim

Minhyong Kim is Professor of Number Theory at the University of Oxford.

• Webpage

Selected writings

On entanglement entropy in arithmetic Chern-Simons theory:

• Hee-Joong Chung, Dohyeong Kim, Minhyong Kim, Jeehoon Park, Hwajong Yoo, Entanglement entropies in the abelian arithmetic Chern-Simons theory [arXiv:2312.17138]

On a Lefschetz trace formula in equivariant cohomology:

• Minhyong Kim, A Lefschetz trace formula for equivariant cohomology, Annales scientifiques de l’École Normale Supérieure, Sér. 4, 28 no. 6 (1995), p. 669-688 (numdam:ASENS_1995_4_28_6_669_0, MR97d:55012)

Kim has notably written about conceptual questions that appear in Diophantine geometry (arithmetic geometry), anabelian geometry and the Langlands program, for instance in

• Galois Theory and Diophantine geometry, 2009 (pdf)

A proposal for arithmetic Chern-Simons theory:

• Minhyong Kim, Arithmetic Chern-Simons Theory I, in: Galois Covers, Grothendieck-Teichmüller Theory and Dessins d’Enfants, Proceedings in Mathematics & Statistics 330, Spinger (2020) [arXiv:1510.05818, doi:10.1007/978-3-030-51795-3_8]

On arithmetic gauge theory:

• Minhyong Kim, Arithmetic Gauge Theory: A Brief Introduction, Modern Physics Letters A 33 29 (2018) 1830012 [arxiv:1712.07602, doi:10.1142/S0217732318300124]

On BF-theory in arithmetic geometry:

• Magnus Carlson, Minhyong Kim, A note on abelian arithmetic BF-theory, (arXiv:1911.02236)

category: people