Publications Minhyong Kim Journal articles: {Numerically positive line bundles on arithmetic varieties. Duke Math. J. 61 (1990), no. 3, pp. 805{821. {Small points on constant arithmetic surfaces. Duke Math. J. 61 (1990), no. 3, pp. 823{833. {Weights in cohomology groups arising from hyperplane arrangements. Proc. Amer. Math. Soc. 120 (1994), no.3, pp. 697{703. {A Lefschetz trace formula for equivariant cohomology. Ann. Sci. Ecole Norm. Sup. 28 (1995), Series 4, no. 6, pp. 669{688. –Pfaffian equations and the Cartier operator. Compositio Math. 105 (1997), no. 1, pp. 55{64. {Geometric height inequalities and the Kodaira-Spencer map. Composito Math. 105 (1997), no. 1, pp. 43{54 (1997). {On the Kodaira-Spencer map and stability. Internat. Math. Res. Not. (1997), no. 9, pp. 417{419. {Purely inseparable points on curves of higher genus. Math. Res. Lett. 4 (1997), no. 5, pp. 663{666. {ABC inequalities for some moduli spaces of log-general type. Math. Res. Lett. 5 (1998), no. 5, pp. 517{522. {On reductive group actions and fixed-points. Proc. Amer. Math. Soc. 126 (1998), no. 11, pp. 3397{3400. {Diophantine approximation and deformations (with D. Thakur and F. Voloch). Bull. Soc. Math. Fr. 128 (2000), no. 4, pp. 585{598. {Crystalline sub-representations and Neron models (with S. Marshall). Math. Res. Lett. 7, no. 5-6, pp. 605{614 (2000). {A remark on potentially semi-stable representations (with K. Joshi). Math. Zeit., no. 241, pp. 479{483 (2002). {Topology of algebraic surfaces and reduction modulo p (with D. Joe). Internat. Math. Res. Not. (2002), no. 28, pp. 1505{1508. {The Picard-Lefschetz formula and a conjecture of Kato (with C. Consani), Math. Res. Lett. 9 (2002), no. 5-6, pp. 621{631. 1 {Relating decision and search algorithms for rational points on affine plane curves of higher genus. Arch. Math. Logic 42 (2003), no. 6, pp. 563{568. {A De Rham-Witt approach to crystalline rational homotopy theory (with R. Hain). Compositio Math. 140 (2004), no. 5, pp. 1245{1276. {The Hyodo-Kato theorem for rational homotopy types (with R. Hain). Math. Res. Lett. 12 (2005), no. 2-3, pp. 155{169. {The motivic fundamental group of P1 n f0; 1; 1g and the theorem of Siegel. Invent. Math. 161 (2005), no. 3, pp. 629{656. {The l-component of the unipotent Albanese map (with A. Tamagawa). Mathematische Annalen, 340 (2008), no. 1, pp. 223-235. {The unipotent Albanese map and Selmer varieties for curves. Publ. Res. Inst. Math. Sci. 45 (2009), no. 1, pp. 89{133. (Proceedings of special semester on arithmetic geometry, Fall, 2006.) {Massey products for elliptic curves of rank one. J. Amer. Math. Soc. 23 (2010), 725-747. {p-adic L-functions and Selmer varieties associated to elliptic curves with complex multiplication. Annals of Math. 172 (2010), no. 1, 751{759. {Selmer varieties for curves with CM Jacobians (with J. Coates). Kyoto Journal of Mathematics (special issue in memory of Nagata), 50 (2010), no. 4, 827{852. {Appendix and erratum: Massey products for elliptic curves of rank one (with J. Balakrishnan and K. Kedlaya). J. Amer. Math. Soc. 24 (2011), no. 1, 281-291. {Heat-Mapping: A Robust Approach Toward Perceptually Consistent Mesh Segmentation (with Yi Fang, Mengtian Sun, and Karthik Ramani). IEEE Computer Vision and Pattern Recognition (CVPR), pp 2145{2152 (2011). {Tangential localization for Selmer varieties. Duke Math. J. 161 (2012), no. 2, 173199. {On the 2-part of the Birch-Swinnerton-Dyer conjecture for elliptic curves with complex multiplication (with John Coates, Zhibin Liang and Chunlai Zhao). Muenster Journal of Mathematics 7 (2014) (volume in honor of Peter Schneider), 83{103. {A p-adic criterion for good reduction of curves (with Fabrizio Andreatta and Adrian Iovita). Duke Math. J. 164 (2015), no. 13, 2597{2642. {Abelian Arithmetic Chern-Simons Theory and Arithmetic Linking Numbers (with H. Chung, D. Kim, G.Pappas, J. Park, H. Yoo). International Mathematics Research Notices, Vol. 2017, pp. 1{29 {A non-abelian conjecture of Tate-Shafarevich type for hyperbolic curves (with Jennifer Balakrishnan, Ishai Dan-Cohen, and Stefan Wewers.). Mathematische Annalen October 2018, Volume 372, Issue 1{2, pp 369{428. 2 {Arithmetic Gauge Theory: A Brief Introduction. Modern Physics Letters A, Vol. 33, No. 29 (2018) Chapters in books: The mathematical structure of characters and modularity (with J. Kim). Characters, G. Wagner ed., Academic Press (2000). {The non-abelian (non-linear) method of Chabauty. Noncommutative Geometry and Number Theory: Where Arithmetic meets Geometry and Physics. 179{185, Aspects Math., E37, Vieweg, Wiesbaden, 2006., C. Consani and C. Marcolli (eds.). {A remark on fundamental groups and effective Diophantine methods for hyperbolic curves. Number theory, Analysis and Geometry. 355{368, D. Goldfeld, J. Jorgenson, P. Jones, D. Ramakrishnan, K. Ribet and J. Tate (eds.), Springer, New York (2012). {Classical motives and motivic L-functions. Autour des motifs{Ecole´ d'´et´e Franco-Asiatique de G´eom´etrieAlg´ebriqueet de Th´eorie des Nombres. Volume I, 1{25, Panor. Synth`eses,29, Soc. Math. France, Paris (2009). {Galois theory and Diophantine geometry. Non-abelian fundamental groups and Iwasawa theory, 162{187, London Math. Soc. Lecture Note Ser., 393, Cambridge Univ. Press, Cambridge (2012). {Diophantine geometry and non-abelian reciprocity laws I. Elliptic curves, modular forms and Iwasawa theory, 311{334, Springer Proc. Math. Stat., 188, Springer, Cham, 2016. {Principal bundles and reciprocity laws in number theory. Proceedings of the Symposia in Pure Mathematics: Algebraic Geometry: Salt Lake City 2015. vol. 97, T. de Fernex, B. Hassett, M. Mustata, M. Olsson, M. Popa and R. Thomas (eds.) (2018). {Arithmetic Gauge Theory: a brief introduction. Topology and Physics, C.N.Yang, M.L.Ge and Y.H.He (Eds.) World Scientific (2019) {Arithmetic Chern-Simons Theory II. (with H. Chung, D. Kim, J. Park, H. Yoo).To be published in the Proceedings of the Simons Symposium on p-adic Hodge theory. Preprint available as arXiv:1609.03012v3 Preprints: {Arithmetic Chern-Simons Theory I. Preprint available as arXiv:1510.05818v3. {Mirror symmetry, mixed motives, and ζ(3) (with W. Yang), Preprint available as arXiv:1710.02344v2 Expository Articles: {Diophantine geometry as Galois theory in the mathematics of Serge Lang, in `The Mathematical Contributions of Serge Lang,' Notices of the Amer. Math. Soc. (2007) 54, no.4, pp. 490-494. 3 {Fundamental groups and Diophantine geometry. Central European Journal of Mathematics 2010, 8(4), 633{645. {On the work of Bao Chau Ngo (with Sugwoo Shin). Newsletter of the Korean Mathematical Society 133, September, 2010, pp. 11{17. {On relative computability for curves. Asia-Pacific Mathematics Newsletter 3 (2013), no.2, pp. 16{20. {Mathematics and Occam's Razor (with P. B. Shalen and D. Yang). Mathematical Intellgencer, special volume for ICM 2014. Books: {Prime Fantasy. Banni Publishing, Seoul (2013) {Father's Mathematical Journey. Eunhaeng-namu Publishing, Seoul (2014). {On the Learning of Mathematics. (with Taekyung Kim) Eunhaeng-namu Publishing, Seoul (2016). {The Moment You Need Mathematics. Influential Inc., Seoul (2018). Books edited: {Non-abelian fundamental groups and Iwasawa theory (with John Coates, Florian Pop, Peter Schneider, and Mohamed Saidi), London Math. Soc. Lecture Note Ser., 393, Cambridge Univ. Press, Cambridge (2012). {Automorphic Forms and Galois Representations I, II (co-edited with Fred Diamond and Payman Kassaei). Cambridge University Press (2014). Book in preparation: Archimedes (with Jonathan Prag). To be published by Book 24, Inc. Work publicly available at the mathematics e-print archive, arxiv.org (not for separate publication): {Diophantine equations in two variables. math.NT/0210329. {Why everyone should know number theory. math.NT/0210327. {Height inequalities and canonical class inequalities. math.AG/0210330. {Torsion points on modular curves and Galois theory (with K. Ribet). math.NT/0305281. {On Szpiro's inequality for higher genus curves. math.NT/0210356. {A vanishing theorem for Fano varieties in positive characteristic. math.AG/0201183. 4.