EPSRC

Best, A. J., Bober, J., Booker, A. R., Costa, E., Cremona, J. E., Derickx, M., Lowry-Duda, D., Lee, M., Roe, D., Sutherland, A. V., Voight, J. and Voight, John (2022) Computing classical modular forms. In: Balakrishnan, Jennifer S. and Elkies, Noam and Hassett, Brendan and Poonen, Bjorn and Sutherland, Andrew V., (eds.) Arithmetic Geometry, Number Theory, and Computation. Simons Symposia . Switzerland: Springer International Publishing. ISBN 9783030809133

Engineering and Physical Sciences Research Council (EPSRC)

Bhargava, Manjul, Cremona, J. E. and Fisher, Tom (2016) The proportion of plane cubic curves over Q that everywhere locally have a point. International Journal of Number Theory, 12 (4). 1077. doi:10.1142/S1793042116500664 ISSN 1793-0421.

Cremona, J. E. (2016) The L-functions and modular forms database project. Foundations of Computational Mathematics . doi:10.1007/s10208-016-9306-z ISSN 1615-3375.

Bhargava, Manjul, Cremona, J. E., Fisher, Tom, Jones, Nick G. and Keating, Jonathan P. (2016) What is the probability that a random integral quadratic form in n variables has an integral zero? International Mathematics Research Notices, 2016 (12). pp. 3828-3848. doi:10.1093/imrn/rnv251 ISSN 1073-7928.

Bhargava, Manjul, Cremona, J. E., Fisher, Tom, Jones, Nick G. and Keating, Jonathan P. (2015) What is the probability that a random integral quadratic form in n variables has an integral zero? International Mathematics Research Notices . rnv251. doi:10.1093/imrn/rnv251 ISSN 1073-7928.

Leverhulme Trust (LT)

Bhargava, Manjul, Cremona, J. E., Fisher, Tom, Jones, Nick G. and Keating, Jonathan P. (2016) What is the probability that a random integral quadratic form in n variables has an integral zero? International Mathematics Research Notices, 2016 (12). pp. 3828-3848. doi:10.1093/imrn/rnv251 ISSN 1073-7928.

Bhargava, Manjul, Cremona, J. E., Fisher, Tom, Jones, Nick G. and Keating, Jonathan P. (2015) What is the probability that a random integral quadratic form in n variables has an integral zero? International Mathematics Research Notices . rnv251. doi:10.1093/imrn/rnv251 ISSN 1073-7928.

National Science Foundation (U.S.) (NSF)

Bhargava, Manjul, Cremona, J. E. and Fisher, Tom (2016) The proportion of plane cubic curves over Q that everywhere locally have a point. International Journal of Number Theory, 12 (4). 1077. doi:10.1142/S1793042116500664 ISSN 1793-0421.

Cremona, J. E. (2016) The L-functions and modular forms database project. Foundations of Computational Mathematics . doi:10.1007/s10208-016-9306-z ISSN 1615-3375.

Bhargava, Manjul, Cremona, J. E., Fisher, Tom, Jones, Nick G. and Keating, Jonathan P. (2016) What is the probability that a random integral quadratic form in n variables has an integral zero? International Mathematics Research Notices, 2016 (12). pp. 3828-3848. doi:10.1093/imrn/rnv251 ISSN 1073-7928.

Bhargava, Manjul, Cremona, J. E., Fisher, Tom, Jones, Nick G. and Keating, Jonathan P. (2015) What is the probability that a random integral quadratic form in n variables has an integral zero? International Mathematics Research Notices . rnv251. doi:10.1093/imrn/rnv251 ISSN 1073-7928.

Research Councils UK (RCUK)

Bhargava, Manjul, Cremona, J. E., Fisher, Tom, Jones, Nick G. and Keating, Jonathan P. (2015) What is the probability that a random integral quadratic form in n variables has an integral zero? International Mathematics Research Notices . rnv251. doi:10.1093/imrn/rnv251 ISSN 1073-7928.

Royal Society (Great Britain). Leverhulme Senior Research Fellowship (RSLSRF)

Bhargava, Manjul, Cremona, J. E., Fisher, Tom, Jones, Nick G. and Keating, Jonathan P. (2016) What is the probability that a random integral quadratic form in n variables has an integral zero? International Mathematics Research Notices, 2016 (12). pp. 3828-3848. doi:10.1093/imrn/rnv251 ISSN 1073-7928.

Royal Society (Great Britain). Wolfson Research Merit Award (RSWRMA)

Bhargava, Manjul, Cremona, J. E., Fisher, Tom, Jones, Nick G. and Keating, Jonathan P. (2016) What is the probability that a random integral quadratic form in n variables has an integral zero? International Mathematics Research Notices, 2016 (12). pp. 3828-3848. doi:10.1093/imrn/rnv251 ISSN 1073-7928.

Bhargava, Manjul, Cremona, J. E., Fisher, Tom, Jones, Nick G. and Keating, Jonathan P. (2015) What is the probability that a random integral quadratic form in n variables has an integral zero? International Mathematics Research Notices . rnv251. doi:10.1093/imrn/rnv251 ISSN 1073-7928.

Simons Foundation

Best, A. J., Bober, J., Booker, A. R., Costa, E., Cremona, J. E., Derickx, M., Lowry-Duda, D., Lee, M., Roe, D., Sutherland, A. V., Voight, J. and Voight, John (2022) Computing classical modular forms. In: Balakrishnan, Jennifer S. and Elkies, Noam and Hassett, Brendan and Poonen, Bjorn and Sutherland, Andrew V., (eds.) Arithmetic Geometry, Number Theory, and Computation. Simons Symposia . Switzerland: Springer International Publishing. ISBN 9783030809133

Simons Foundation (SF)

Bhargava, Manjul, Cremona, J. E. and Fisher, Tom (2016) The proportion of plane cubic curves over Q that everywhere locally have a point. International Journal of Number Theory, 12 (4). 1077. doi:10.1142/S1793042116500664 ISSN 1793-0421.

Bhargava, Manjul, Cremona, J. E., Fisher, Tom, Jones, Nick G. and Keating, Jonathan P. (2016) What is the probability that a random integral quadratic form in n variables has an integral zero? International Mathematics Research Notices, 2016 (12). pp. 3828-3848. doi:10.1093/imrn/rnv251 ISSN 1073-7928.

United States. Air Force (USAF)

Bhargava, Manjul, Cremona, J. E., Fisher, Tom, Jones, Nick G. and Keating, Jonathan P. (2015) What is the probability that a random integral quadratic form in n variables has an integral zero? International Mathematics Research Notices . rnv251. doi:10.1093/imrn/rnv251 ISSN 1073-7928.

United States. Air Force. Office of Scientific Research (AFOSR)

Bhargava, Manjul, Cremona, J. E., Fisher, Tom, Jones, Nick G. and Keating, Jonathan P. (2016) What is the probability that a random integral quadratic form in n variables has an integral zero? International Mathematics Research Notices, 2016 (12). pp. 3828-3848. doi:10.1093/imrn/rnv251 ISSN 1073-7928.

University of Warwick

Bhargava, Manjul, Cremona, J. E., Fisher, Tom, Jones, Nick G. and Keating, Jonathan P. (2015) What is the probability that a random integral quadratic form in n variables has an integral zero? International Mathematics Research Notices . rnv251. doi:10.1093/imrn/rnv251 ISSN 1073-7928.