Dr Nicole Sutherland
People_

Dr Nicole Sutherland

Phone
93513049
Address
F07 - Carslaw Building
The University of Sydney

Publications

Book Chapters

  • Mânzateanu, A., Newton, R., Ozman, E., Sutherland, N., Uysal, R. (2021). The Hasse norm principle in global function fields. In Alina Carmen Cojocaru, Sorina Ionica, Elisa Lorenzo García (Eds.), Women in Numbers Europe III: Research Directions in Number Theory, (pp. 275-290). Switzerland: Springer. [More Information]

Journals

  • Fieker, C., Sutherland, N. (2023). Computing splitting fields using Galois theory and other Galois constructions. Journal of Symbolic Computation, 116, 243-262. [More Information]
  • Krumm, D., Sutherland, N. (2021). Galois groups over rational function fields and Explicit Hilbert Irreducibility. Journal of Symbolic Computation, 103, 108-126. [More Information]
  • Bailey, G., Cohen, S., Sutherland, N., Trudgian, T. (2019). Existence results for primitive elements in cubic and quartic extensions of a finite field. Mathematics of Computation, 88(316), 931-947. [More Information]

Conferences

  • Sutherland, N. (2017). A demonstration of computing Galois groups of polynomials in Magma. The 42nd International Symposium on Symbolic and Algebraic Computation (ISSAC 2017), New York: Association for Computing Machinery (ACM). [More Information]

2023

  • Fieker, C., Sutherland, N. (2023). Computing splitting fields using Galois theory and other Galois constructions. Journal of Symbolic Computation, 116, 243-262. [More Information]

2021

  • Krumm, D., Sutherland, N. (2021). Galois groups over rational function fields and Explicit Hilbert Irreducibility. Journal of Symbolic Computation, 103, 108-126. [More Information]
  • Mânzateanu, A., Newton, R., Ozman, E., Sutherland, N., Uysal, R. (2021). The Hasse norm principle in global function fields. In Alina Carmen Cojocaru, Sorina Ionica, Elisa Lorenzo García (Eds.), Women in Numbers Europe III: Research Directions in Number Theory, (pp. 275-290). Switzerland: Springer. [More Information]

2019

  • Bailey, G., Cohen, S., Sutherland, N., Trudgian, T. (2019). Existence results for primitive elements in cubic and quartic extensions of a finite field. Mathematics of Computation, 88(316), 931-947. [More Information]
  • Booker, A., Cohen, S., Sutherland, N., Trudgian, T. (2019). Primitive values of quadratic polynomials in a finite field. Mathematics of Computation, 88(318), 1903-1912. [More Information]

2018

  • Sutherland, N. (2018). Computation of geometric Galois groups and absolute factorizations. ACM Communications in Computer Algebra, 52(4), 151-153. [More Information]
  • Cohen, S., Oliveira e Silva, T., Sutherland, N., Trudgian, T. (2018). Linear combinations of primitive elements of a finite field. Finite Fields and Their Applications, 51(May 2018), 388-406. [More Information]

2017

  • Sutherland, N. (2017). A demonstration of computing Galois groups of polynomials in Magma. The 42nd International Symposium on Symbolic and Algebraic Computation (ISSAC 2017), New York: Association for Computing Machinery (ACM). [More Information]

2016

  • Sutherland, N. (2016). Algorithms for Galois Extensions of Global Function Fields. Bulletin of the Australian Mathematical Society, 93(3), 513-515. [More Information]
  • Sutherland, N. (2016). Efficient computation of maximal orders in Artin-Schreier-Witt extensions. Journal of Symbolic Computation, 77, 189-216. [More Information]

2015

  • Sutherland, N. (2015). Computing Galois groups of polynomials (especially over function fields of prime characteristic). Journal of Symbolic Computation, 71, 73-97. [More Information]

2013

  • Sutherland, N. (2013). Efficient computation of maximal orders in Artin-Schreier extensions. Journal of Symbolic Computation, 53(1), 26-39. [More Information]

2012

  • Sutherland, N. (2012). Efficient computation of maximal orders in radical (including Kummer) extensions. Journal of Symbolic Computation, 47(6), 552-567. [More Information]