Rachel Newton
Areas of interest
- Number theory
- Arithmetic geometry
Research centres and groups
Websites/blogs
Publications
-
Balestrieri, F.
,
Johnson, A.
,
Newton, R.
ORCID: 0000-0003-4925-635X
(2023)
Explicit uniform bounds for Brauer groups of singular K3 surfaces.
Annales de l'Institut Fourier
, 73
(2).
pp.
567-607.
ISSN:
0373-0956
|
doi:
https://dx.doi.org/10.5802/aif.3526
-
Macedo, A.
and
Newton, R.
ORCID: 0000-0003-4925-635X
(2022)
Explicit methods for the Hasse norm principle and applications to A_n and S_n extensions.
Mathematical Proceedings of the Cambridge Philosophical Society
, 172
(3).
pp.
489-529.
ISSN:
1469-8064
|
doi:
https://dx.doi.org/10.1017/S0305004121000268
- Manzateanu, A. , Newton, R. , Ozman, E. , Sutherland, N. , Uysal, R. (2021) The Hasse norm principle in global function fields. In: Cojocaru, A. , Ionica, S. , Lorenzo Garcia, E. , (eds.) Women in Numbers Europe III: Research Directions in Number Theory. Papers from the Workshop (WIN-E3) held at La Hublais, Cesson-Sévigné (France), August 26-30, 2019.. Association for Women in Mathematics Series , 24. Springer , Cham. pp. 275-290. ISBN: 9783030777005 | doi: https://dx.doi.org/10.1007/978-3-030-77700-5_9
- Kilicer, P. , Lauter, K. , Lorenzo Garcia, E. , Newton, R. , Ozman, E. , Streng, M. (2020) A bound on the primes of bad reduction for CM curves of genus 3. Proceedings of the American Mathematical Society , 148 pp. 2843-2843. ISSN: 0002-9939 | doi: https://dx.doi.org/10.1090/proc/14975
- Balestrieri, F. and Newton, R. (2019) Arithmetic of rational points and zero-cycles on products of Kummer varieties and K3 surfaces. International Mathematics Research Notices pp. 1-25. ISSN: 1687-0247 | doi: https://dx.doi.org/10.1093/imrn/rny303
- Celik, T. , Elias, Y. , Gunes, B. , Newton, R. , Ozman, E. , Pries, R. , Thomas, L. (2018) Non-ordinary curves with a Prym variety of low p-rank. Women in Numbers Europe II Contributions to Number Theory and Arithmetic Geometry. Springer , Cham, Switzerland. ISBN: 9783319749983
- Frei, C. , Loughran, D. , Newton, R. (2018) The Hasse norm principle for abelian extensions. American Journal of Mathematics , 140 (6). pp. 1639-1685. ISSN: 1080-6377 | doi: https://dx.doi.org/10.1353/ajm.2018.0048
- Balakrishnan, J. , Ciperiani, M. , Lang, J. , Mirza, B. , Newton, R. (2016) Shadow lines in the arithmetic of elliptic curves. In: Eischen, E. , Long, L. , Pries, R. , Stange, K. , (eds.) Directions in number theory : Proceedings of the 2014 WIN3 Workshop. Association for Women in Mathematics series Springer International Publishing (3). ISBN: 9783319309743
- Ros Camacho, A. and Newton, R. (2016) Strangely dual orbifold equivalence I. Journal of Singularities , 14 pp. 34-51. ISSN: 1949-2006 | doi: https://dx.doi.org/10.5427/jsing.2016.14c
- Newton, R. (2016) Transcendental Brauer groups of products of CM elliptic curves. Journal of the London Mathematical Society , 92 (2). pp. 397-419. ISSN: 1469-7750 | doi: https://dx.doi.org/10.1112/jlms/jdv058
- Browning, T. and Newton, R. (2016) The proportion of failures of the Hasse norm principle. Mathematika , 62 (2). pp. 337-347. ISSN: 2041-7942 | doi: https://dx.doi.org/10.1112/S0025579315000261
- Newton, R. (2015) Realising the cup product of local Tate duality. Journal de Theorie des Nombres de Bordeaux , 27 (1). pp. 219-244. ISSN: 1246-7405 | doi: https://dx.doi.org/10.5802/jtnb.900
- Bouw, I. , Cooley, J. , Lauter, K. , Lorenzo Garcia, E. , Manes, M. , Newton, R. , Ozman, E. (2015) Bad reduction of genus three curves with complex multiplication. In: Bertin, M. , Bucur, A. , Feigon, B. , Schneps, L. , (eds.) Women in Numbers Europe: Research Directions in Number Theory. Association for Women in Mathematics Series , 2. Springer (2364-5733). pp. 109-151. ISBN: 9783319179865 | doi: https://dx.doi.org/10.1007/978-3-319-17987-2
- Fisher, T. and Newton, R. (2014) Computing the Cassels–Tate pairing on the 3-Selmer group of an elliptic curve. International Journal of Number Theory , 10 (7). pp. 1881-1907. ISSN: 1793-7310 | doi: https://dx.doi.org/10.1142/S1793042114500602