| Binary quartic forms having bounded invariants, and the boundedness of the average rank of elliptic curves M Bhargava, A Shankar Annals of Mathematics, 191-242, 2015 | 199 | 2015 |
| On the Davenport–Heilbronn theorems and second order terms M Bhargava, A Shankar, J Tsimerman Inventiones mathematicae 193, 439-499, 2013 | 151 | 2013 |
| Ternary cubic forms having bounded invariants, and the existence of a positive proportion of elliptic curves having rank 0 M Bhargava, A Shankar Annals of Mathematics, 587-621, 2015 | 139 | 2015 |
| Bounds on 2-torsion in class groups of number fields and integral points on elliptic curves M Bhargava, A Shankar, T Taniguchi, F Thorne, J Tsimerman, Y Zhao Journal of the American Mathematical Society 33 (4), 1087-1099, 2020 | 77 | 2020 |
| Squarefree values of polynomial discriminants I M Bhargava, A Shankar, X Wang Inventiones mathematicae 228 (3), 1037-1073, 2022 | 68 | 2022 |
| The average size of the 5-Selmer group of elliptic curves is 6, and the average rank is less than 1 M Bhargava, A Shankar arXiv preprint arXiv:1312.7859, 2013 | 61 | 2013 |
| Geometry-of-numbers methods over global fields I: Prehomogeneous vector spaces M Bhargava, A Shankar, X Wang arXiv preprint arXiv:1512.03035, 2015 | 43 | 2015 |
| The average number of elements in the 4-Selmer groups of elliptic curves is 7 M Bhargava, A Shankar arXiv preprint arXiv:1312.7333, 2013 | 39 | 2013 |
| Rational points on hyperelliptic curves having a marked non-Weierstrass point A Shankar, X Wang Compositio Mathematica 154 (1), 188-222, 2018 | 35 | 2018 |
| Counting-fields with a power saving error term A Shankar, J Tsimerman Forum of Mathematics, Sigma 2, e13, 2014 | 33 | 2014 |
| Odd degree number fields with odd class number W Ho, A Shankar, I Varma | 24 | 2018 |
| Exceptional jumps of Picard ranks of reductions of K3 surfaces over number fields AN Shankar, A Shankar, Y Tang, S Tayou Forum of Mathematics, Pi 10, e21, 2022 | 22 | 2022 |
| The number of -fields ordered by conductor SA Altug, A Shankar, I Varma, KH Wilson Journal of the European Mathematical Society 23 (8), 2733-2785, 2021 | 22 | 2021 |
| SATO–TATE EQUIDISTRIBUTION OF CERTAIN FAMILIES OF ARTIN-FUNCTIONS A Shankar, A Södergren, N Templier Forum of Mathematics, Sigma 7, e23, 2019 | 13 | 2019 |
| Geometry-of-numbers methods over global fields I: Prehomogeneous vector spaces, Dec. 2015 M Bhargava, A Shankar, X Wang Preprint available at https://arxiv. org/abs/1512.03035, 0 | 13 | |
| The average number of elements in the 4-Selmer groups of elliptic curves is 7 (2013) M Bhargava, A Shankar arXiv preprint arXiv:1312.7333, 0 | 10 | |
| The average size of the 5-Selmer group of elliptic curves is 6, and the average rank is less than 1 (2013) M Bhargava, A Shankar arXiv preprint arXiv:1312.7859, 0 | 10 | |
| The second moment of the size of the -Selmer group of elliptic curves M Bhargava, A Shankar, A Swaminathan arXiv preprint arXiv:2110.09063, 2021 | 9 | 2021 |
| Binary quartic forms having bounded invariants, and the boundedness of the average rank of elliptic curves, June 9, 2010 M Bhargava, A Shankar Preprint, 0 | 9 | |
| An improvement on Schmidt’s bound on the number of number fields of bounded discriminant and small degree M Bhargava, A Shankar, X Wang Forum of Mathematics, Sigma 10, e86, 2022 | 8 | 2022 |
