Some of the manuscripts below may be different from the published versions.
Path Integrals and p-adic L-functions (with Magnus Carlson, Hee-Joong Chung, Dohyeong Kim, Minhyong Kim, Jeehoon Park, Hwajong Yoo), 2022 (arXiv).
Linking emergent phenomena and broken symmetries through one-dimensional objects and their dot/cross products (with Sang-Wook Cheong, Fei-Ting Huang). Reports on Progress in Physics, Volume 85, Number 12, 2022 (link).
Learning algebraic structures: Preliminary investigations (with Yang-Hui He). International Journal of Data Science in the Mathematical Sciences 0, 1-20, 2022 (link).
A note on abelian arithmetic BF-theory (with Magnus Carlson). Bull. London Math. Soc., 54: 1299-1307, 2022 (link).
Arithmetic gauge theory: A brief introduction. Modern Physics Letters A, Volume 33, Issue 29, 2018 (link).
Principal bundles and reciprocity laws in number theory. Algebraic Geometry: Salt Lake City 2015, Proceedings of Symposia in Pure Mathematics, Volume 97, 2018 (link).
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, 2017 (link).
Diophantine Geometry and non-abelian reciprocity laws I. Loeffler, David, Zerbes, Sarah Livia (Eds.) Elliptic Curves, Modular Forms and Iwasawa Theory: In Honour of John H. Coates' 70th Birthday, Cambridge, UK, 2015 (link).
A p-adic nonabelian criterion for good reduction of curves (with F. Andreatta and A. Iovita). Duke Math. J. 164, no. 13, 2597--2642, 2015 (link).
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, 83--103, 2014 (link).
Tangential localization for Selmer varieties. Duke Math. J. 161, no. 2, 173--199, 2012 (link).
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(link).
Selmer varieties for curves with CM Jacobians. (with John Coates) Kyoto J. Math. 50, no. 4, 827--852, 2010 (link).
Massey products for elliptic curves of rank 1. J. of Amer. Math. Soc. 23, 725--747, 2010 (link).
Appendix and erratum to "Massey products for elliptic curves of rank 1''. (with J. Balakrishnan and K. Kedlaya) J. Amer. Math. Soc. 24, no. 1, 281--291, 2011 (link).
p-adic L-functions and Selmer varieties associated to elliptic curves with complex multiplication. Annals of Math. 172, no. 1, 751--759, 2010 (link).
The unipotent Albanese map and Selmer varieties for curves. Publ. Res. Inst. Math. Sci. 45, no. 1, 89--133, 2009 (link).
The l-component of the unipotent albanese map (with Akio Tamagawa). Math. Ann. 340, no. 1, 223--235, 2008 (link).
The motivic fundamental group of the projective line minus three points and the theorem of Siegel. Invent. math. 161, no. 3, 629--656, 2005 (link).
The Hyodo-Kato theorem for rational homotopy types. (with Richard Hain) Math. Res. Lett. 12, no. 2-3, 155--169, 2005 (link).
Foundations of the nonabelian method of Chabauty (with Martin Lüdtke).
On relative computability for curves. Asia Pac. Math. Newsl. 3, no. 2, 16--20, 2015.
On number and space (lecture in memory of Yunsan Lee Won-Guk), 2010.
Non-abelian fundamental groups in arithmetic geometry (for INI administration), 2009.
Galois Theory and Diophantine geometry. Non-abelian fundamental groups and Iwasawa theory, 162--187, Cambridge Univ. Press, Cambridge, 2012.
Fundamental groups and Diophantine geometry Cent. Eur. J. Math. 8, no. 4, 633--645, 2010.
Mathematical vistas, 2007.
Diophantine geometry as Galois theory in the mathematics of Serge Lang. Notices Amer. Math. Soc. 54, no. 4, 476--497, 2007.
Motivic L-Functions in Autour des motifs-- Volume I, 1--25, Panor. Syntheses, 29, Soc. Math. France, Paris, 2009.
Why Everyone Should Know Number Theory, Graduate Student Colloquium, University of Arizona, 1998