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 |
Databases of elliptic curves ordered by height and distributions of Selmer groups and ranks JS Balakrishnan, W Ho, N Kaplan, S Spicer, W Stein, J Weigandt LMS Journal of Computation and Mathematics 19 (A), 351-370, 2016 | 22 | 2016 |