Explicit Chabauty—Kim for the split Cartan modular curve of level 13 JS Balakrishnan, N Dogra, JS Müller, J Tuitman, J Vonk
Annals of Mathematics 189 (3), 885-944, 2019
132 2019 Quadratic Chabauty and rational points, I: -adic heights JS Balakrishnan, N Dogra
Duke Mathematical Journal 167 (11), 1981-2038, 2018
82 2018 Explicit Coleman integration for hyperelliptic curves JS Balakrishnan, RW Bradshaw, KS Kedlaya
International Algorithmic Number Theory Symposium, 16-31, 2010
68 2010 Quadratic Chabauty and rational points II: generalised height functions on Selmer varieties J Balakrishnan, N Dogra
International Mathematics Research Notices, 2020
53 2020 Quadratic Chabauty: p-adic heights and integral points on hyperelliptic curves JS Balakrishnan, A Besser, JS Müller
Journal für die reine und angewandte Mathematik (Crelles Journal) 2016 (720 …, 2016
50 2016 A non-abelian conjecture of Tate–Shafarevich type for hyperbolic curves JS Balakrishnan, I Dan-Cohen, M Kim, S Wewers
Mathematische Annalen 372 (1-2), 369-428, 2018
43 2018 Explicit Coleman integration for curves J Balakrishnan, J Tuitman
Mathematics of Computation 89 (326), 2965-2984, 2020
40 2020 Computing integral points on hyperelliptic curves using quadratic Chabauty J Balakrishnan, A Besser, J Müller
Mathematics of Computation 86 (305), 1403-1434, 2017
39 2017 Explicit quadratic Chabauty over number fields JS Balakrishnan, A Besser, F Bianchi, JS Müller
Israel Journal of Mathematics 243 (1), 185-232, 2021
35 2021 Quadratic Chabauty for modular curves: algorithms and examples JS Balakrishnan, N Dogra, JS Müller, J Tuitman, J Vonk
arXiv preprint arXiv:2101.01862, 2021
35 2021 Coleman–Gross height pairings and the p-adic sigma function JS Balakrishnan, A Besser
Journal für die reine und angewandte Mathematik (Crelles Journal) 2015 (698 …, 2015
32 2015 Two Recent p -adic Approaches Towards the (Effective) Mordell Conjecture JS Balakrishnan, AJ Best, F Bianchi, B Lawrence, JS Müller, ...
Arithmetic L-Functions and Differential Geometric Methods, 31-74, 2021
31 2021 Constructing genus-3 hyperelliptic Jacobians with CM JS Balakrishnan, S Ionica, K Lauter, C Vincent
LMS Journal of Computation and Mathematics 19 (A), 283-300, 2016
30 2016 Appendix and erratum to “Massey products for elliptic curves of rank 1” J Balakrishnan, K Kedlaya, M Kim
Journal of the American Mathematical Society 24 (1), 281-291, 2011
28 2011 An effective Chabauty–Kim theorem JS Balakrishnan, N Dogra
Compositio Mathematica 155 (6), 1057-1075, 2019
27 2019 Iterated Coleman integration for hyperelliptic curves J Balakrishnan
The Open Book Series 1 (1), 41-61, 2013
26 2013 Computing local p-adic height pairings on hyperelliptic curves JS Balakrishnan, A Besser
International Mathematics Research Notices 2012 (11), 2405-2444, 2012
26 2012 A 𝑝-adic analogue of the conjecture of Birch and Swinnerton-Dyer for modular abelian varieties J Balakrishnan, J Müller, W Stein
Mathematics of Computation 85 (298), 983-1016, 2016
23 2016 Coleman integration for even-degree models of hyperelliptic curves JS Balakrishnan
LMS Journal of Computation and Mathematics 18 (1), 258-265, 2015
23 2015 Pairings on hyperelliptic curves J Balakrishnan, J Belding, S Chisholm, K Eisenträger, K Stange, E Teske
WIN-Women in Numbers: Research Directions in Number Theory. Fields Institute …, 2009
22 2009