Edit Profile (opens in new tab) Kim, Minhyong Co-Author Distance Author ID: kim.minhyong Published as: Kim, Minhyong Homepage: https://www.maths.ox.ac.uk/people/minhyong.kim External Links: MGP · Wikidata · dblp · GND · IdRef Documents Indexed: 60 Publications since 1990, including 15 Additional arXiv Preprints 3 Contributions as Editor · 1 Further Contribution Co-Authors: 31 Co-Authors with 26 Joint Publications 701 Co-Co-Authors all top 5 Co-Authors 37 single-authored 5 Chung, Hee-Joong 5 Kim, Dohyeong 5 Park, Jeehoon 5 Yoo, Hwajong 3 Coates, John Henry 2 Balakrishnan, Jennifer S. 2 Carlson, Magnus 2 Diamond, Fred 2 Hain, Richard M. 2 Kassaei, Payman L. 2 Marshall, Susan H. 2 Pappas, Georgios 1 Andreatta, Fabrizio 1 Bost, Jean-Benoît 1 Consani, Caterina 1 Dan-Cohen, Ishai 1 Fontaine, Jean-Marc 1 Genestier, Alain 1 He, Yang-Hui Evariste 1 Iovita, Adrian 1 Joe, Dosang 1 Joshi, Kirti 1 Kedlaya, Kiran Sridhara 1 Lafforgue, Laurent 1 Liang, Zhibin 1 Ngô Bao Châu 1 Pop, Florian 1 Ribet, Kenneth Alan 1 Saïdi, Mohamed Réda 1 Schneider, Peter 1 Ramdorai, Sujatha 1 Tamagawa, Akio 1 Thakur, Dinesh S. 1 Voloch, José Felipe 1 Wewers, Stefan 1 Yang, Wenzhe 1 Zhao, Chunlai all top 5 Serials 5 Mathematical Research Letters 4 Duke Mathematical Journal 4 IMRN. International Mathematics Research Notices 3 Compositio Mathematica 3 London Mathematical Society Lecture Note Series 2 Mathematische Annalen 2 Proceedings of the American Mathematical Society 2 Journal of the American Mathematical Society 1 Modern Physics Letters A 1 Communications in Algebra 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Bulletin of the London Mathematical Society 1 Bulletin de la Société Mathématique de France 1 Inventiones Mathematicae 1 Mathematische Zeitschrift 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Archive for Mathematical Logic 1 Annals of Mathematics. Second Series 1 Central European Journal of Mathematics 1 Panoramas et Synthèses 1 Münster Journal of Mathematics 1 Kyoto Journal of Mathematics 1 London Mathematical Society. Newsletter all top 5 Fields 42 Algebraic geometry (14-XX) 38 Number theory (11-XX) 5 Quantum theory (81-XX) 4 General and overarching topics; collections (00-XX) 3 Topological groups, Lie groups (22-XX) 2 Mathematical logic and foundations (03-XX) 2 Field theory and polynomials (12-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 35 Publications have been cited 315 times in 144 Documents Cited by ▼ Year ▼ The motivic fundamental group of \(\mathbf P^1\setminus\{0,1,\infty\}\) and the theorem of Siegel. Zbl 1090.14006 Kim, Minhyong 64 2005 The unipotent Albanese map and Selmer varieties for curves. Zbl 1165.14020 Kim, Minhyong 51 2009 Massey products for elliptic curves of rank 1. Zbl 1225.11077 Kim, Minhyong 21 2010 The \(\ell\)-component of the unipotent Albanese map. Zbl 1126.14035 Kim, Minhyong; Tamagawa, Akio 19 2007 A non-abelian conjecture of Tate-Shafarevich type for hyperbolic curves. Zbl 1460.11038 Balakrishnan, Jennifer S.; Dan-Cohen, Ishai; Kim, Minhyong; Wewers, Stefan 18 2018 Selmer varieties for curves with CM Jacobians. Zbl 1283.11092 Coates, John; Kim, Minhyong 16 2010 A \(p\)-adic nonabelian criterion for good reduction of curves. Zbl 1347.11051 Andreatta, Fabrizio; Iovita, Adrian; Kim, Minhyong 12 2015 Weights in cohomology groups arising from hyperplane arrangements. Zbl 0816.14008 Kim, Minhyong 11 1994 \(p\)-adic \(L\)-functions and Selmer varieties associated to elliptic curves with complex multiplication. Zbl 1223.11080 Kim, Minhyong 11 2010 Appendix and erratum to “Massey products for elliptic curves of rank 1”. Zbl 1285.11082 Balakrishnan, Jennifer S.; Kedlaya, Kiran S.; Kim, Minhyong 9 2011 Tangential localization for Selmer varieties. Zbl 1268.11079 Kim, Minhyong 9 2012 Arithmetic Chern-Simons theory. I. Zbl 1456.14029 Kim, Minhyong 8 2020 A de Rham-Witt approach to crystalline rational homotopy theory. Zbl 1086.14021 Kim, Minhyong; Hain, Richard M. 7 2004 Geometric height inequalities and the Kodaira-Spencer map. Zbl 0871.14020 Kim, Minhyong 7 1997 Diophantine approximation and deformation. Zbl 1043.11059 Kim, Minhyong; Thakur, Dinesh S.; Voloch, José Felipe 6 2000 Abelian arithmetic Chern-Simons theory and arithmetic linking numbers. Zbl 1472.14020 Chung, Hee-Joong; Kim, Dohyeong; Kim, Minhyong; Pappas, Georgios; Park, Jeehoon; Yoo, Hwajong 5 2019 On the 2-part of the Birch-Swinnerton-Dyer conjecture for elliptic curves with complex multiplication. Zbl 1308.11057 Coates, John; Kim, Minhyong; Liang, Zhibin; Zhao, Chunlai 4 2014 A Lefschetz trace formula for equivariant cohomology. Zbl 0856.55008 Kim, Minhyong 3 1995 Purely inseparable points on curves of higher genus. Zbl 0906.14016 Kim, Minhyong 3 1997 Pfaffian equations and the Cartier operator. Zbl 0956.14009 Kim, Minhyong 3 1997 Galois theory and Diophantine geometry. Zbl 1282.14041 Kim, Minhyong 3 2012 Arithmetic Chern-Simons theory. II. Zbl 1440.11207 Chung, Hee-Joong; Kim, Dohyeong; Kim, Minhyong; Park, Jeehoon; Yoo, Hwajong 3 2020 Arithmetic gauge theory: a brief introduction. Zbl 1397.81001 Kim, Minhyong 3 2018 Remark on fundamental groups and effective Diophantine methods for hyperbolic curves. Zbl 1276.11108 Kim, Minhyong 2 2012 Non-abelian fundamental groups and Iwasawa theory. Zbl 1237.11001 2 2012 Crystalline subrepresentations and Neron models. Zbl 0979.11034 Kim, Minhyong; Marshall, Susan H. 2 2000 The non-abelian (or nonlinear) method of Chabauty. Zbl 1169.14307 Kim, Minhyong 2 2006 Numerically positive line bundles on an Arakelov variety. Zbl 0787.14013 Kim, Minhyong 2 1990 Diophantine geometry and non-abelian reciprocity laws. I. Zbl 1414.11154 Kim, Minhyong 2 2016 Fundamental groups and Diophantine geometry. Zbl 1203.14030 Kim, Minhyong 2 2010 Classical motives and motivic \(L\)-functions. Zbl 1207.14014 Kim, Minhyong 1 2009 The Hyodo-Kato theorem for rational homotopy types. Zbl 1101.14023 Kim, Minhyong; Hain, Richard M. 1 2005 Small points on constant arithmetic surfaces. Zbl 0727.14016 Kim, Minhyong 1 1990 On Poincaré polynomials for hyperplane arrangements in positive characteristic. Zbl 0789.14016 Kim, Minhyong 1 1993 Relating decision and search algorithms for rational points on curves of higher genus. Zbl 1038.11078 Kim, Minhyong 1 2003 Arithmetic Chern-Simons theory. I. Zbl 1456.14029 Kim, Minhyong 8 2020 Arithmetic Chern-Simons theory. II. Zbl 1440.11207 Chung, Hee-Joong; Kim, Dohyeong; Kim, Minhyong; Park, Jeehoon; Yoo, Hwajong 3 2020 Abelian arithmetic Chern-Simons theory and arithmetic linking numbers. Zbl 1472.14020 Chung, Hee-Joong; Kim, Dohyeong; Kim, Minhyong; Pappas, Georgios; Park, Jeehoon; Yoo, Hwajong 5 2019 A non-abelian conjecture of Tate-Shafarevich type for hyperbolic curves. Zbl 1460.11038 Balakrishnan, Jennifer S.; Dan-Cohen, Ishai; Kim, Minhyong; Wewers, Stefan 18 2018 Arithmetic gauge theory: a brief introduction. Zbl 1397.81001 Kim, Minhyong 3 2018 Diophantine geometry and non-abelian reciprocity laws. I. Zbl 1414.11154 Kim, Minhyong 2 2016 A \(p\)-adic nonabelian criterion for good reduction of curves. Zbl 1347.11051 Andreatta, Fabrizio; Iovita, Adrian; Kim, Minhyong 12 2015 On the 2-part of the Birch-Swinnerton-Dyer conjecture for elliptic curves with complex multiplication. Zbl 1308.11057 Coates, John; Kim, Minhyong; Liang, Zhibin; Zhao, Chunlai 4 2014 Tangential localization for Selmer varieties. Zbl 1268.11079 Kim, Minhyong 9 2012 Galois theory and Diophantine geometry. Zbl 1282.14041 Kim, Minhyong 3 2012 Remark on fundamental groups and effective Diophantine methods for hyperbolic curves. Zbl 1276.11108 Kim, Minhyong 2 2012 Non-abelian fundamental groups and Iwasawa theory. Zbl 1237.11001 2 2012 Appendix and erratum to “Massey products for elliptic curves of rank 1”. Zbl 1285.11082 Balakrishnan, Jennifer S.; Kedlaya, Kiran S.; Kim, Minhyong 9 2011 Massey products for elliptic curves of rank 1. Zbl 1225.11077 Kim, Minhyong 21 2010 Selmer varieties for curves with CM Jacobians. Zbl 1283.11092 Coates, John; Kim, Minhyong 16 2010 \(p\)-adic \(L\)-functions and Selmer varieties associated to elliptic curves with complex multiplication. Zbl 1223.11080 Kim, Minhyong 11 2010 Fundamental groups and Diophantine geometry. Zbl 1203.14030 Kim, Minhyong 2 2010 The unipotent Albanese map and Selmer varieties for curves. Zbl 1165.14020 Kim, Minhyong 51 2009 Classical motives and motivic \(L\)-functions. Zbl 1207.14014 Kim, Minhyong 1 2009 The \(\ell\)-component of the unipotent Albanese map. Zbl 1126.14035 Kim, Minhyong; Tamagawa, Akio 19 2007 The non-abelian (or nonlinear) method of Chabauty. Zbl 1169.14307 Kim, Minhyong 2 2006 The motivic fundamental group of \(\mathbf P^1\setminus\{0,1,\infty\}\) and the theorem of Siegel. Zbl 1090.14006 Kim, Minhyong 64 2005 The Hyodo-Kato theorem for rational homotopy types. Zbl 1101.14023 Kim, Minhyong; Hain, Richard M. 1 2005 A de Rham-Witt approach to crystalline rational homotopy theory. Zbl 1086.14021 Kim, Minhyong; Hain, Richard M. 7 2004 Relating decision and search algorithms for rational points on curves of higher genus. Zbl 1038.11078 Kim, Minhyong 1 2003 Diophantine approximation and deformation. Zbl 1043.11059 Kim, Minhyong; Thakur, Dinesh S.; Voloch, José Felipe 6 2000 Crystalline subrepresentations and Neron models. Zbl 0979.11034 Kim, Minhyong; Marshall, Susan H. 2 2000 Geometric height inequalities and the Kodaira-Spencer map. Zbl 0871.14020 Kim, Minhyong 7 1997 Purely inseparable points on curves of higher genus. Zbl 0906.14016 Kim, Minhyong 3 1997 Pfaffian equations and the Cartier operator. Zbl 0956.14009 Kim, Minhyong 3 1997 A Lefschetz trace formula for equivariant cohomology. Zbl 0856.55008 Kim, Minhyong 3 1995 Weights in cohomology groups arising from hyperplane arrangements. Zbl 0816.14008 Kim, Minhyong 11 1994 On Poincaré polynomials for hyperplane arrangements in positive characteristic. Zbl 0789.14016 Kim, Minhyong 1 1993 Numerically positive line bundles on an Arakelov variety. Zbl 0787.14013 Kim, Minhyong 2 1990 Small points on constant arithmetic surfaces. Zbl 0727.14016 Kim, Minhyong 1 1990 all cited Publications top 5 cited Publications all top 5 Cited by 165 Authors 15 Kim, Minhyong 13 Balakrishnan, Jennifer S. 8 Dan-Cohen, Ishai 6 Dogra, Netan 6 Müller, Jan Steffen 5 Hindes, Wade 4 Bianchi, Francesca 4 Lazda, Christopher 3 Besser, Amnon 3 Betts, Luke Alexander 3 Kim, Dohyeong 3 Olsson, Martin C. 3 Poonen, Bjorn 3 Thakur, Dinesh S. 3 Tuitman, Jan 3 Vonk, Jan B. 3 Watanabe, Tatsunari 2 Adžaga, Nikola 2 Arul, Vishal 2 Beneish, Lea 2 Best, Alex J. 2 Carlson, Magnus 2 Chiarellotto, Bruno 2 Chidambaram, Shiva 2 Corwin, David 2 Di Proietto, Valentina 2 Hadian-Jazi, Majid 2 Hain, Richard M. 2 Hashimoto, Sachi 2 Hast, Daniel Rayor 2 Kedlaya, Kiran Sridhara 2 Keller, Timo 2 Lawrence, Brian 2 Park, Jeehoon 2 Pasten, Hector V. 2 Pereira, Jorge Vitório 2 Petersen, Dan 2 Schlank, Tomer M. 2 Shiho, Atsushi 2 Wewers, Stefan 2 Zhai, Shuai 1 Ahlqvist, Eric 1 Ascher, Kenneth 1 Baues, Hans-Joachim 1 Beacom, Jamie 1 Beke, Tibor 1 Belabas, Karim 1 Bertolini, Massimo 1 Björner, Anders 1 Blanc, David Abraham 1 Bleher, Frauke M. 1 Box, Josha 1 Bradshaw, Robert W. 1 Bragg, Daniel 1 Cadoret, Anna 1 Carney, Alexander 1 Caro, Jerson 1 Chen, Mingjie 1 Cheng, Raymond 1 Cheong, Gilyoung 1 Chinburg, Ted 1 Choi, Junhwa 1 Chung, Hee-Joong 1 Coates, John Henry 1 Cohen, Daniel C. 1 Collas, Benjamin 1 Čoupek, Pavel 1 Das, Ronno 1 Davis, Rachel 1 Dèbes, Pierre 1 Deng, Yuqi 1 Dimca, Alexandru 1 Drummond-Cole, Gabriel C. 1 Dupont, Clément 1 Duque-Rosero, Juanita 1 Ekedahl, Torsten 1 Ertl, Veronika 1 Fahimi, Peyman 1 Faltings, Gerd 1 Fesenko, Ivan Borisovich 1 Ghys, Étienne 1 Gillibert, Jean 1 Gondhali, Shilpa 1 Gunton, Cody 1 Haddadnia, Javad 1 Harman, Nate 1 Hernandez-Mada, Genaro 1 Hirano, Hikaru 1 Hoffnung, Alexander E. 1 Horel, Geoffroy 1 Huang, Maozhou 1 Huang, Yifeng 1 Jarossay, David 1 Jones, Rafe 1 Kato, Kazuya 1 Katz, Eric 1 Kaya, Enis 1 Kebekus, Stefan 1 Keyes, Christopher 1 Kumpitsch, Theresa ...and 65 more Authors all top 5 Cited in 63 Serials 8 Transactions of the American Mathematical Society 6 Compositio Mathematica 6 Journal of Number Theory 5 Mathematics of Computation 5 Duke Mathematical Journal 5 Algebra & Number Theory 4 Advances in Mathematics 4 Mathematische Annalen 4 Proceedings of the American Mathematical Society 4 Proceedings of the London Mathematical Society. Third Series 4 Rendiconti del Seminario Matematico della Università di Padova 4 Expositiones Mathematicae 4 Research in Number Theory 3 Inventiones Mathematicae 3 Journal of the American Mathematical Society 3 Algebraic & Geometric Topology 3 International Journal of Number Theory 2 Bulletin of the London Mathematical Society 2 Journal of Algebra 2 Journal of Pure and Applied Algebra 2 Memoirs of the American Mathematical Society 2 Osaka Journal of Mathematics 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Bulletin of the American Mathematical Society. New Series 2 Journal de Théorie des Nombres de Bordeaux 2 Finite Fields and their Applications 2 Geometry & Topology 2 Annals of Mathematics. Second Series 2 Oberwolfach Reports 2 Annales Mathématiques du Québec 1 Communications in Algebra 1 Discrete Mathematics 1 Israel Journal of Mathematics 1 Letters in Mathematical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Acta Arithmetica 1 Annales de l’Institut Fourier 1 Annales Polonici Mathematici 1 Bulletin de la Société Mathématique de France 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Zeitschrift 1 Mathematika 1 Nagoya Mathematical Journal 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Tôhoku Mathematical Journal. Second Series 1 Advances in Applied Mathematics 1 IMRN. International Mathematics Research Notices 1 Journal of Knot Theory and its Ramifications 1 Journal of Algebraic Geometry 1 Applied Categorical Structures 1 Selecta Mathematica. New Series 1 Documenta Mathematica 1 The Ramanujan Journal 1 Annals of Combinatorics 1 Journal of the European Mathematical Society (JEMS) 1 Milan Journal of Mathematics 1 Central European Journal of Mathematics 1 Journal of Homotopy and Related Structures 1 Kyoto Journal of Mathematics 1 Axioms 1 Research in the Mathematical Sciences 1 European Journal of Mathematics 1 Tunisian Journal of Mathematics all top 5 Cited in 21 Fields 105 Algebraic geometry (14-XX) 104 Number theory (11-XX) 15 Algebraic topology (55-XX) 7 Category theory; homological algebra (18-XX) 7 Dynamical systems and ergodic theory (37-XX) 5 Several complex variables and analytic spaces (32-XX) 4 Combinatorics (05-XX) 4 Associative rings and algebras (16-XX) 4 Manifolds and cell complexes (57-XX) 3 Field theory and polynomials (12-XX) 3 Commutative algebra (13-XX) 3 \(K\)-theory (19-XX) 3 Quantum theory (81-XX) 2 General and overarching topics; collections (00-XX) 2 Nonassociative rings and algebras (17-XX) 2 Functions of a complex variable (30-XX) 2 Convex and discrete geometry (52-XX) 2 Differential geometry (53-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 History and biography (01-XX) 1 Group theory and generalizations (20-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.