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
56 2019 Quadratic Chabauty and rational points, I: JS Balakrishnan, N Dogra
Duke Mathematical Journal 167 (11), 1981-2038, 2018
40 2018 Explicit Coleman integration for hyperelliptic curves JS Balakrishnan, RW Bradshaw, KS Kedlaya
International Algorithmic Number Theory Symposium, 16-31, 2010
39 2010 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
28 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
26 2018 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
25 2015 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
23 2011 Quadratic Chabauty and rational points II: generalised height functions on Selmer varieties J Balakrishnan, N Dogra
International Mathematics Research Notices, 2020
21 2020 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
21 2009 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
20 2016 Explicit Coleman integration for curves J Balakrishnan, J Tuitman
Mathematics of Computation 89 (326), 2965-2984, 2020
18 2020 Iterated Coleman integration for hyperelliptic curves J Balakrishnan
The Open Book Series 1 (1), 41-61, 2013
18 * 2013 Computing integral points on hyperelliptic curves using quadratic Chabauty J Balakrishnan, A Besser, J Müller
Mathematics of Computation 86 (305), 1403-1434, 2017
17 2017 Computing local p-adic height pairings on hyperelliptic curves JS Balakrishnan, A Besser
International Mathematics Research Notices 2012 (11), 2405-2444, 2012
15 2012 An effective Chabauty–Kim theorem JS Balakrishnan, N Dogra
Compositio Mathematica 155 (6), 1057-1075, 2019
13 2019 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
12 2016 Explicit quadratic Chabauty over number fields JS Balakrishnan, A Besser, F Bianchi, JS Müller
arXiv preprint arXiv:1910.04653, 2019
11 2019 Chabauty–Coleman experiments for genus 3 hyperelliptic curves JS Balakrishnan, F Bianchi, V Cantoral-Farfán, M Çiperiani, A Etropolski
Research Directions in Number Theory, 67-90, 2019
11 2019 Variations of Lehmer's Conjecture for Ramanujan's tau-function JS Balakrishnan, W Craig, K Ono
Journal of Number Theory, 2020
8 2020 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
7 2016 