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## Kim, Minhyong

Compute Distance To:
 Author ID: kim.minhyong Published as: Kim, Minhyong Homepage: https://www.maths.ox.ac.uk/people/minhyong.kim External Links: MGP · Wikidata · dblp · GND
 Documents Indexed: 45 Publications since 1990, including 3 Books
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#### Co-Authors

 26 single-authored 3 Chung, Hee-Joong 3 Coates, John H. 3 Kim, Dohyeong 3 Park, Jeehoon 3 Yoo, Hwajong 2 Balakrishnan, Jennifer S. 2 Diamond, Fred 2 Hain, Richard M. 2 Kassaei, Payman L. 2 Pappas, Georgios 1 Andreatta, Fabrizio 1 Consani, Caterina 1 Dan-Cohen, Ishai 1 Iovita, Adrian 1 Joe, Dosang 1 Joshi, Kirti 1 Kedlaya, Kiran Sridhara 1 Liang, Zhibin 1 Marshall, Susan H. 1 Pop, Florian 1 Saïdi, Mohamed Réda 1 Schneider, Peter 1 Tamagawa, Akio 1 Thakur, Dinesh S. 1 Voloch, José Felipe 1 Wewers, Stefan 1 Zhao, Chunlai
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#### 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 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 Münster Journal of Mathematics 1 Kyoto Journal of Mathematics
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#### Fields

 37 Algebraic geometry (14-XX) 27 Number theory (11-XX) 3 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 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) 1 Quantum theory (81-XX)

#### Citations contained in zbMATH

29 Publications have been cited 157 times in 74 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
2005
The unipotent Albanese map and Selmer varieties for curves. Zbl 1165.14020
Kim, Minhyong
2009
Selmer varieties for curves with CM Jacobians. Zbl 1283.11092
Coates, John; Kim, Minhyong
2010
The $$\ell$$-component of the unipotent Albanese map. Zbl 1126.14035
Kim, Minhyong; Tamagawa, Akio
2007
Massey products for elliptic curves of rank 1. Zbl 1225.11077
Kim, Minhyong
2010
$$p$$-adic $$L$$-functions and Selmer varieties associated to elliptic curves with complex multiplication. Zbl 1223.11080
Kim, Minhyong
2010
A $$p$$-adic nonabelian criterion for good reduction of curves. Zbl 1347.11051
Andreatta, Fabrizio; Iovita, Adrian; Kim, Minhyong
2015
Weights in cohomology groups arising from hyperplane arrangements. Zbl 0816.14008
Kim, Minhyong
1994
Tangential localization for Selmer varieties. Zbl 1268.11079
Kim, Minhyong
2012
Diophantine approximation and deformation. Zbl 1043.11059
Kim, Minhyong; Thakur, Dinesh S.; Voloch, José Felipe
2000
Geometric height inequalities and the Kodaira-Spencer map. Zbl 0871.14020
Kim, Minhyong
1997
A non-abelian conjecture of Tate-Shafarevich type for hyperbolic curves. Zbl 06943973
Balakrishnan, Jennifer S.; Dan-Cohen, Ishai; Kim, Minhyong; Wewers, Stefan
2018
Appendix and erratum to “Massey products for elliptic curves of rank 1”. Zbl 1285.11082
Balakrishnan, Jennifer S.; Kedlaya, Kiran S.; Kim, Minhyong
2011
A de Rham-Witt approach to crystalline rational homotopy theory. Zbl 1086.14021
Kim, Minhyong; Hain, Richard M.
2004
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
2014
A Lefschetz trace formula for equivariant cohomology. Zbl 0856.55008
Kim, Minhyong
1995
Remark on fundamental groups and effective Diophantine methods for hyperbolic curves. Zbl 1276.11108
Kim, Minhyong
2012
Galois theory and Diophantine geometry. Zbl 1282.14041
Kim, Minhyong
2012
Pfaffian equations and the Cartier operator. Zbl 0956.14009
Kim, Minhyong
1997
Numerically positive line bundles on an Arakelov variety. Zbl 0787.14013
Kim, Minhyong
1990
Abelian arithmetic Chern-Simons theory and arithmetic linking numbers. Zbl 07144208
Chung, Hee-Joong; Kim, Dohyeong; Kim, Minhyong; Pappas, Georgios; Park, Jeehoon; Yoo, Hwajong
2019
Diophantine geometry and non-abelian reciprocity laws. I. Zbl 1414.11154
Kim, Minhyong
2016
Fundamental groups and Diophantine geometry. Zbl 1203.14030
Kim, Minhyong
2010
Classical motives and motivic $$L$$-functions. Zbl 1207.14014
Kim, Minhyong
2009
The non-abelian (or nonlinear) method of Chabauty. Zbl 1169.14307
Kim, Minhyong
2006
The Hyodo-Kato theorem for rational homotopy types. Zbl 1101.14023
Kim, Minhyong; Hain, Richard M.
2005
Relating decision and search algorithms for rational points on curves of higher genus. Zbl 1038.11078
Kim, Minhyong
2003
On Poincaré polynomials for hyperplane arrangements in positive characteristic. Zbl 0789.14016
Kim, Minhyong
1993
Small points on constant arithmetic surfaces. Zbl 0727.14016
Kim, Minhyong
1990
Abelian arithmetic Chern-Simons theory and arithmetic linking numbers. Zbl 07144208
Chung, Hee-Joong; Kim, Dohyeong; Kim, Minhyong; Pappas, Georgios; Park, Jeehoon; Yoo, Hwajong
2019
A non-abelian conjecture of Tate-Shafarevich type for hyperbolic curves. Zbl 06943973
Balakrishnan, Jennifer S.; Dan-Cohen, Ishai; Kim, Minhyong; Wewers, Stefan
2018
Diophantine geometry and non-abelian reciprocity laws. I. Zbl 1414.11154
Kim, Minhyong
2016
A $$p$$-adic nonabelian criterion for good reduction of curves. Zbl 1347.11051
Andreatta, Fabrizio; Iovita, Adrian; Kim, Minhyong
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
2014
Tangential localization for Selmer varieties. Zbl 1268.11079
Kim, Minhyong
2012
Remark on fundamental groups and effective Diophantine methods for hyperbolic curves. Zbl 1276.11108
Kim, Minhyong
2012
Galois theory and Diophantine geometry. Zbl 1282.14041
Kim, Minhyong
2012
Appendix and erratum to “Massey products for elliptic curves of rank 1”. Zbl 1285.11082
Balakrishnan, Jennifer S.; Kedlaya, Kiran S.; Kim, Minhyong
2011
Selmer varieties for curves with CM Jacobians. Zbl 1283.11092
Coates, John; Kim, Minhyong
2010
Massey products for elliptic curves of rank 1. Zbl 1225.11077
Kim, Minhyong
2010
$$p$$-adic $$L$$-functions and Selmer varieties associated to elliptic curves with complex multiplication. Zbl 1223.11080
Kim, Minhyong
2010
Fundamental groups and Diophantine geometry. Zbl 1203.14030
Kim, Minhyong
2010
The unipotent Albanese map and Selmer varieties for curves. Zbl 1165.14020
Kim, Minhyong
2009
Classical motives and motivic $$L$$-functions. Zbl 1207.14014
Kim, Minhyong
2009
The $$\ell$$-component of the unipotent Albanese map. Zbl 1126.14035
Kim, Minhyong; Tamagawa, Akio
2007
The non-abelian (or nonlinear) method of Chabauty. Zbl 1169.14307
Kim, Minhyong
2006
The motivic fundamental group of $$\mathbf P^1\setminus\{0,1,\infty\}$$ and the theorem of Siegel. Zbl 1090.14006
Kim, Minhyong
2005
The Hyodo-Kato theorem for rational homotopy types. Zbl 1101.14023
Kim, Minhyong; Hain, Richard M.
2005
A de Rham-Witt approach to crystalline rational homotopy theory. Zbl 1086.14021
Kim, Minhyong; Hain, Richard M.
2004
Relating decision and search algorithms for rational points on curves of higher genus. Zbl 1038.11078
Kim, Minhyong
2003
Diophantine approximation and deformation. Zbl 1043.11059
Kim, Minhyong; Thakur, Dinesh S.; Voloch, José Felipe
2000
Geometric height inequalities and the Kodaira-Spencer map. Zbl 0871.14020
Kim, Minhyong
1997
Pfaffian equations and the Cartier operator. Zbl 0956.14009
Kim, Minhyong
1997
A Lefschetz trace formula for equivariant cohomology. Zbl 0856.55008
Kim, Minhyong
1995
Weights in cohomology groups arising from hyperplane arrangements. Zbl 0816.14008
Kim, Minhyong
1994
On Poincaré polynomials for hyperplane arrangements in positive characteristic. Zbl 0789.14016
Kim, Minhyong
1993
Numerically positive line bundles on an Arakelov variety. Zbl 0787.14013
Kim, Minhyong
1990
Small points on constant arithmetic surfaces. Zbl 0727.14016
Kim, Minhyong
1990
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#### Cited by 72 Authors

 14 Kim, Minhyong 8 Balakrishnan, Jennifer S. 4 Dan-Cohen, Ishai 4 Hindes, Wade 4 Lazda, Christopher 3 Dogra, Netan 3 Müller, Jan Steffen 3 Thakur, Dinesh S. 2 Besser, Amnon 2 Corwin, David 2 Hain, Richard M. 2 Kim, Dohyeong 2 Olsson, Martin C. 2 Tuitman, Jan 2 Watanabe, Tatsunari 2 Wewers, Stefan 2 Zhai, Shuai 1 Baues, Hans-Joachim 1 Beacom, Jamie 1 Beke, Tibor 1 Bertolini, Massimo 1 Björner, Anders 1 Blanc, David Abraham 1 Box, Josha 1 Chiarellotto, Bruno 1 Choi, Junhwa 1 Chung, Hee-Joong 1 Coates, John H. 1 Cohen, Daniel C. 1 Davis, Rachel 1 Di Proietto, Valentina 1 Dimca, Alexandru 1 Dupont, Clément 1 Ekedahl, Torsten 1 Fesenko, Ivan Borisovich 1 Ghys, Étienne 1 Gondhali, Shilpa 1 Hadian-Jazi, Majid 1 Harman, Nate 1 Hoffnung, Alexander E. 1 Jones, Rafe 1 Kedlaya, Kiran Sridhara 1 Lawrence, Brian 1 Liţcanu, Răzvan 1 Litt, Daniel 1 Matei, Vlad 1 Matsumoto, Yuya 1 Mazur, Barry 1 Murty, Maruti Ram 1 Olsiewski Healey, Vivian 1 Overkamp, Otto 1 Park, Jeehoon 1 Pasten, Hector V. 1 Pereira, Jorge Vitório 1 Pérez-Buendía, J. Rogelio 1 Petersen, Dan 1 Poonen, Bjorn 1 Pries, Rachel J. 1 Saïdi, Mohamed Réda 1 Sakugawa, Kenji 1 Shiho, Atsushi 1 Spicer, Calum 1 Stojanoska, Vesna 1 Suciu, Alexander I. 1 Tamagawa, Akio 1 Vallette, Bruno 1 Venkatesh, Akshay 1 Voloch, José Felipe 1 Vonk, Jan 1 Weinstein, Alan David 1 Wickelgren, Kirsten G. 1 Yoo, Hwajong
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#### Cited in 45 Serials

 6 Journal of Number Theory 4 Duke Mathematical Journal 4 Transactions of the American Mathematical Society 3 Mathematics of Computation 3 Advances in Mathematics 3 Mathematische Annalen 3 Proceedings of the American Mathematical Society 3 Journal of the American Mathematical Society 2 Compositio Mathematica 2 Inventiones Mathematicae 2 Journal of Algebra 2 Proceedings of the London Mathematical Society. Third Series 2 Annals of Mathematics. Second Series 2 Annales Mathématiques du Québec 1 Communications in Algebra 1 Letters in Mathematical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Bulletin of the London Mathematical Society 1 Bulletin de la Société Mathématique de France 1 Journal of Pure and Applied Algebra 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Zeitschrift 1 Nagoya Mathematical Journal 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Rendiconti del Seminario Matematico della Università di Padova 1 Tohoku Mathematical Journal. Second Series 1 Bulletin of the American Mathematical Society. New Series 1 Expositiones Mathematicae 1 Journal of Algebraic Geometry 1 Journal de Théorie des Nombres de Bordeaux 1 Finite Fields and their Applications 1 Selecta Mathematica. New Series 1 Documenta Mathematica 1 Geometry & Topology 1 Annals of Combinatorics 1 Journal of the European Mathematical Society (JEMS) 1 Milan Journal of Mathematics 1 Central European Journal of Mathematics 1 International Journal of Number Theory 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
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#### Cited in 16 Fields

 53 Number theory (11-XX) 50 Algebraic geometry (14-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Algebraic topology (55-XX) 4 Category theory; homological algebra (18-XX) 3 Associative rings and algebras (16-XX) 3 Several complex variables and analytic spaces (32-XX) 2 Field theory and polynomials (12-XX) 2 Commutative algebra (13-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 $$K$$-theory (19-XX) 1 Group theory and generalizations (20-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX)

#### Wikidata Timeline

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