The Hasse norm principle for abelian extensions C Frei, D Loughran, R Newton American Journal of Mathematics 140 (6), 1639-1685, 2018 | 27 | 2018 |
Transcendental Brauer groups of products of CM elliptic curves R Newton Journal of the London Mathematical Society 93 (2), 397-419, 2016 | 22 | 2016 |
Bad reduction of genus three curves with complex multiplication I Bouw, J Cooley, K Lauter, EL García, M Manes, R Newton, E Ozman Women in numbers Europe 2, 109-151, 2015 | 22 | 2015 |
Computing the Cassels–Tate pairing on the 3-Selmer group of an elliptic curve T Fisher, R Newton International Journal of Number Theory 10 (07), 1881-1907, 2014 | 21 | 2014 |
Number fields with prescribed norms. C Frei, D Loughran, R Newton Commentarii Mathematici Helvetici 97 (1), 2022 | 16 | 2022 |
A bound on the primes of bad reduction for CM curves of genus 3 P Kılıçer, K Lauter, EL García, R Newton, E Ozman, M Streng Proceedings of the American Mathematical Society 148 (7), 2843-2861, 2020 | 15 | 2020 |
The proportion of failures of the Hasse norm principle TD Browning, R Newton Mathematika 62 (2), 337-347, 2016 | 14 | 2016 |
Arithmetic of rational points and zero-cycles on products of Kummer varieties and K3 surfaces F Balestrieri, R Newton International Mathematics Research Notices 2021 (6), 4255-4279, 2021 | 8 | 2021 |
Evaluating the wild Brauer group M Bright, R Newton Inventiones mathematicae 234 (2), 819-891, 2023 | 7 | 2023 |
Explicit methods for the Hasse norm principle and applications to An and Sn extensions A Macedo, R Newton Mathematical Proceedings of the Cambridge Philosophical Society 172 (3), 489-529, 2022 | 6 | 2022 |
Strangely dual orbifold equivalence I R Newton, AR Camacho arXiv preprint arXiv:1509.08069, 2015 | 6 | 2015 |
Non-ordinary Curves with a Prym Variety of Low p-Rank TO Celik, Y Elias, B Güneş, R Newton, E Ozman, R Pries, L Thomas Women in Numbers Europe II: Contributions to Number Theory and Arithmetic …, 2018 | 5 | 2018 |
Strangely dual orbifold equivalence I A Ros Camacho, R Newton Journal of Singularities 14, 34-51, 2016 | 5 | 2016 |
Shadow lines in the arithmetic of elliptic curves JS Balakrishnan, M Çiperiani, J Lang, B Mirza, R Newton Directions in Number Theory: Proceedings of the 2014 WIN3 Workshop, 33-55, 2016 | 4 | 2016 |
Explicit local reciprocity for tame extensions R Newton Mathematical Proceedings of the Cambridge Philosophical Society 152 (3), 425-454, 2012 | 3 | 2012 |
Distribution of genus numbers of abelian number fields C Frei, D Loughran, R Newton Journal of the London Mathematical Society 107 (6), 2197-2217, 2023 | 2 | 2023 |
Women in Numbers Europe II: Contributions to Number Theory and Arithmetic Geometry II Bouw, E Ozman, J Johnson-Leung, R Newton Springer, 2018 | 1 | 2018 |
Corrigendum: Transcendental Brauer groups of products of CM elliptic curves: (J. Lond. Math. Soc. 93 (2016), 397–419) R Newton Journal of the London Mathematical Society 110 (1), e12953, 2024 | | 2024 |
Machine learning for modular multiplication K Lauter, CY Li, K Maughan, R Newton, M Srivastava arXiv preprint arXiv:2402.19254, 2024 | | 2024 |
Transcendental Brauer-Manin obstructions on singular K3 surfaces M Alaa Tawfik, R Newton arXiv e-prints, arXiv: 2311.00650, 2023 | | 2023 |