Webpage of Minhyong Kim
Christopher Zeeman Professor of Algebra, Geometry,
and Public Understanding of Mathematics
University of Warwick
Korea Institute for Advanced Study
Mathematics Institute Staff profile page
Educational Outreach Archive (under construction)
Public Outreach Blog: Mathematics with Random People in the Street
University of Warwick
I am 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. I am especially interested in applications of topology to number theory. Recently, I have started exploring the possibility of connections between arithmetic geometry and quantum field theory. In my spare time, I work rather seriously on educational outreach, including adult education, teacher training, and motivational talks for students. I have published four books in Korean on mathematics written for the general public.
List of Publications
Some Recent Publications
Some of the manuscripts below may be different from the published versions.
A Note on Abelian Arithmetic BF theory (with Magnus Carlson) Preprint, 2019
Arithmetic Gauge Theory: A Brief Introduction
Modern Physics Letters A,
Volume 33, Issue 29 (2018)
Mirror Symmetry, Mixed Motives, and \zeta(3)
(with Wenzhe Yang) Preprint, 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)
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, Published electronically, November, 2017
Arithmetic Chern-Simons Theory II.
(with H.-J. Chung, D. Kim, J. Park, and H. Yoo) To be published in p-adic Hodge Theory, Simons Symposia, Springer-Verlag.
Arithmetic Chern-Simons Theory I. Preprint, 2016
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.
On the 2-part of the Birch-Swinnerton-Dyer conjecture for elliptic curves with complex multiplication.
(with J. Coates, Z. Liang, and C. Zhao) Muenster J. Math. 7 (2014), 83--103.
Tangential localization for Selmer varieties.
Duke Math. J. 161 (2012), no. 2, 173--199.
A remark on fundamental groups and effective Diophantine methods for hyperbolic curves.
Number Theory, Analysis, and
Geometry, in memory of Serge Lang. D. Goldfeld et. al. (ed.), Springer-Verlag (2012).
Selmer varieties for curves with CM Jacobians.
(with John Coates) Kyoto J. Math. 50 (2010), no. 4, 827--852.
Massey products for elliptic curves of rank 1.
J. of Amer. Math. Soc. 23 (2010), 725--747.
Appendix and erratum to "Massey products for elliptic curves of rank 1''.
(with J. Balakrishnan and K. Kedlaya) J. Amer. Math. Soc. 24 (2011), no. 1, 281--291.
p-adic L-functions and Selmer varieties associated to elliptic curves with complex multiplication.
Annals of Math. 172 (2010), no. 1, 751--759.
The unipotent Albanese map
and Selmer varieties for curves.
Publ. Res. Inst. Math. Sci. 45 (2009), no. 1, 89--133.
The l-component of the unipotent albanese map.
(with Akio Tamagawa) Math. Ann. 340 (2008), no. 1, 223--235.
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)
Non-abelian fundamental groups and Iwasawa theory
(co-edited with John Coates, Florian Pop, Mohamed Saidi, and Peter Schneider)
Autour des motifs I
(with R. Sujatha, L. Lafforgue, A. Genestier, and B.-C. Ngo)
Some Unpublished Papers
A note on Szpiro's inequality for curves of higher genus.
A vanishing theorem for Fano varieties in positive characteristic.
Torsion points on modular curves and Galois theory
(with Ken Ribet, 1999)
Some Expository Essays
Michael Atiyah and the Mediterranean
IUTT Workshop, Oxford, December, 2015: A Brief Summary
(12 December, 2015)
Brief superficial remarks on Shinichi Mochizuki's Interuniversal Teichmueller Theory, version 1.
(16 November, 2015)
On relative computability for curves.
Asia Pac. Math. Newsl. 3 (2013), no. 2, 16--20.
Dietrich Fischer-Dieskau in Seoul
(2011, contribution to Korean edition of `Les Dechiffreurs')
On number and space
(September, 2010, lecture in memory of Yunsan Lee Won-Guk)
Non-abelian fundamental groups in arithmetic geometry
(for INI administration, 2009)
Galois Theory and Diophantine geometry
in Non-abelian fundamental groups and Iwasawa theory, 162--187, Cambridge Univ. Press, Cambridge, 2012.
Fundamental groups and Diophantine geometry
Cent. Eur. J. Math. 8 (2010), no. 4, 633--645.
Diophantine geometry as Galois theory in
the mathematics of Serge Lang.
Notices Amer. Math. Soc. 54 (2007), no. 4, 476--497.
in Autour des motifs-- Volume I, 1--25, Panor. Syntheses, 29, Soc. Math. France, Paris, 2009.
Some Lecture Slides
Diophantine geometry and principal bundles, Perimeter Institute, Mathematical Physics Seminar, March, 2019.
Physical mathematics: the case of number theory, Perimeter Institute, Colloquium, March, 2019.
Some arithmetic path integrals, Simons Center, February, 2019.
Arithmetic geometry for physicists, KIAS, August, 2017.
A superficial introduction to Langlands functoriality, KIAS, August, 2016.
Current Editorial Duties
Springer Monographs in Mathematics, Co-Editor-in-Chief (with Isabelle Gallagher)
Tunisian Journal of Mathematics, Member of Editorial Board
Some Recent Presentations
The Unity of Mathematics: A Conference in Honour of Sir Michael Atiyah, INI, September, 2021 (upcoming)
Modularity in Quantum Systems, Kavli Institute for Theoretical Physics, December, 2020 (upcoming)
Queen Mary University of London, String Theory Seminar, May, 2020
Arizona Winter School on Arithmetic Geometry 2020, `Nonabelian Chabauty'
University of Pennsylvania, Colloquium, March, 2020
Structure and Symmetry Day, Edinburgh, September, 2019
Simons Symposium on p-adic Hodge Theory 2019
Institute for Advanced Study, High-Energy Theory Seminar, March, 2019
Perimeter Institute, Colloquium, March, 2019
Einstein Lecture, International Center for Theoretical Sciences, Bengalaru, December, 2018
Plenary Lecture, LMS Midlands Regional Meeting
Philosophy of Physics Seminar, University of Oxford, 2018
Logic Seminar, University of Oxford, 2018
Quantum Field Theory Seminar, University of Oxford, 2018
Iwasawa Theory and Related Topics
University of Heidelberg, 2018
Simons Symposium on Periods and L-values of Motives 2018
Simons Conference on Number Theory, Geometry, Moonshine & Strings II, 2018
Joint Mathematics and Physics Colloquium
University of Heidelberg, November, 2017
Simons Symposium on p-adic Hodge Theory 2017
Simons Conference on Number Theory, Geometry, Moonshine & Strings, 2017
The Amsterdam Math-Physics Colloquium, May 2017
Plenary Lecture, SIAM Conference on Applied Algebraic Geometry. 2015
p-adic Methods in Number Theory: A Conference Inspired by the Mathematics of Robert Coleman, Berkeley, 2015
Plenary Lecture, Bridges 2014: Mathematics, Music, Art, Architecture, Culture
Plenary Lecture, Canadian Number Theory Association XII Meeting, 2012
Lecture Series, McGill University Bellairs Research Institute, Barbados
Fondation Jacques Hadamard Lecture Series, IHES 2012
Lorentz Centre Workshop on the Motivic Fundamental Group Leiden, 2011
British Mathematical Colloquium, 2011
ETH Zureich and EPF Lausanne Number Theory Days 2010
Plenary Lecture, Joint Meeting of the Korean Mathematical Society and the American Mathematical Society, 2009
Some older lecture slides
Some non-abelian theorems of Dirchlet type (KIAS, July, 2016)
Martin Taylor 60 (July, 2012)
CNTA Lethbridge (June 2012)
Lorentz Center workshop (May, 2011)
Essen workshop (February, 2010)
Heidelberg workshop (February, 2010)
Bordeaux workshop (January, 2010)
AMS-KMS joint meetings, Seoul (December, 2009)
Paris number theory seminar (November, 2009)
Oxford number theory seminar (November, 2009)
Colloquia at Leicester and Sheffield (Fall, 2009)
Cambridge anabelian workshop (August, 2009)
Cambridge workshop (July, 2009)
Heidelberg seminar (April, 2009)
Regensburg workshop on 'Finiteness for Motives and Motivic Cohomology' (February, 2009)
Pan Asian Number Theory, Pohang (January, 2009)
Cambridge number theory seminar (November, 2008)
Lille colloquium (November, 2008)
Fields lecture on Selmer varieties (October, 2008)
Muenster lecture (June, 2008)
Exeter colloquium (March, 2008)
Kings colloquium (March, 2008)
Bangalore lecture (March, 2008)
IMSc Chennai (January, 2008)
London-Paris number theory seminar (November, 2007)