Professor Minhyong Kim
Christopher Zeeman Professor of Algebra, Geometry,
and Public Understanding of Mathematics
Biography: Minhyong Kim received his bachelor's degree at Seoul National University and his Ph.D. at Yale University before moving on to faculty positions at M.I.T., Columbia University, University of Arizona, Purdue University, the Korea Institute for Advanced Study, and University College London. Most recently before moving to Warwick, he was Research Professor of Number Theory at the University of Oxford and head of their number theory research group. He has also held visiting professorships at numerous institutions including the University of Paris, University of Kyoto, Seoul National University, and the University of Toronto. In addition to papers on arithmetic geometry and its ramifications, he has published five books on mathematics for the general public.
Personal Homepage: https://homepages.warwick.ac.uk/staff/Minhyong.Kim/
Public Outreach Archive: https://homepages.warwick.ac.uk/staff/Minhyong.Kim/outreach.html
Teaching blog (needs to be updated)
Teaching Responsibilities 2020/21:
Topological Quantum Field Theory-TCC course
Quantum Field Theory Reading Module
Research Interests: Arithmetic Geometry, Topology, Mathematical Physics
Seminar on arithmetic geometry and quantum field theory
WMI Lockdown Masterclasses on Mathematical Thinking
Zeeman Lectures on the Mathematical World
Most relevant recent publications:
Arithmetic Chern-Simons Theory II. (with H.-J. Chung, D. Kim, J. Park, and H. Yoo) in P-adic Hodge Theory, Proceedings of Simons Symposia, B. Bhatt, M. Olsson (eds), Springer-Verlag (2020).
Abelian Arithmetic Chern-Simons Theory and Arithmetic Linking Numbers. (with H.-J. Chung, D. Kim, G. Pappas, J. Park, and H. Yoo) International Mathematics Research Notices, Volume 2019, Issue 18, September 2019, Pages 5674–5702. Erratum: https://academic.oup.com/imrn/article-abstract/2019/18/5854/5506752
Arithmetic Gauge Theory: A Brief Introduction, Modern Physics Letters A, Volume 33, Issue 29 (2018).
A non-abelian conjecture of Tate-Shafarevich type for hyperbolic curves. (with J. Balakrishnan, I. Dan-Cohen, and S. Wewers) Mathematische Annalen, October 2018, Volume 372, Issue 1-2, pp 369-428.
Principal Bundles and Reciprocity Laws in Number Theory in Algebraic Geometry: Salt Lake City 2015, Proceedings of Symposia in Pure Mathematics, Volume 97 (2018).
Diophantine Geometry and non-abelian reciprocity laws I. in Elliptic Curves, Modular Forms and Iwasawa Theory: In Honour of John H. Coates' 70th Birthday, Cambridge, UK, March 2015, Loeffler, David, Zerbes, Sarah Livia (Eds.).
A p-adic nonabelian criterion for good reduction of curves. (with F. Andreatta and A. Iovita) Duke Math. J. 164 (2015), no. 13, 2597--2642.
Massey products for elliptic curves of rank 1. J. of Amer. Math. Soc. 23 (2010), 725--747. Erratum: https://www.researchgate.net/publication/261737285_Appendix_and_erratum_to_Massey_products_for_elliptic_curves_of_rank_1
p-adic L-functions and Selmer varieties associated to elliptic curves with complex multiplication. Annals of Math. 172 (2010), no. 1, 751--759.
The motivic fundamental group of the projective line minus three points and the theorem of Siegel. Invent. math. 161 (2005), no. 3, 629--656.
The Hyodo-Kato theorem for rational homotopy types. (with Richard Hain) Math. Res. Lett. 12 (2005), no. 2-3, 155--169.
The Moment You Need Mathematics
Influential Inc., Seoul (2018)
The Learning of Mathematics
(with Taekyung Kim) Eunhaeng-namu Publishing, Seoul (2016)
Father's Mathematical Journey
Eunhaeng-namu Publishing, Seoul (2014)
Banni Publishing, Seoul (2013)
Automorphic Forms and Galois Representations I, II
(co-edited with Fred Diamond and Payman Kassaei) Cambridge University Press (2014)
Non-abelian fundamental groups and Iwasawa theory
(co-edited with John Coates, Florian Pop, Mohamed Saidi, and Peter Schneider) Cambridge University Press (2012)
Autour des motifs I
(with R. Sujatha, L. Lafforgue, A. Genestier, and B.-C. Ngo) Societe Mathematique de France (2009)