Professor John Cannon

Professor in the School of Mathematics and Statistics

F07 - Carslaw Building
The University of Sydney

Telephone +61 2 9351 3338
Fax +61 2 9351 4534

Research interests

Member of the Computational Algebra Research Group.

Selected grants

2013

  • Constructive Representation Theory; Cannon J, Holt D; Australian Research Council (ARC)/Discovery Projects (DP).

2010

  • Constructive Module Theory for Algebras; Cannon J, Holt D, Carlson J; Australian Research Council (ARC)/Discovery Projects (DP).

2008

  • Integral lattices and their theta series; Cannon J, Brent R, Stehle D; Australian Research Council (ARC)/Discovery Projects (DP).

2007

  • Constructive Representation Theory and its Applications; Cannon J, Holt D, Holt D; Australian Research Council (ARC)/Discovery Projects (DP).

2005

  • Explicit construction of global function fields with many rational places; Cannon J, Fieker C; Australian Research Council (ARC)/Discovery Projects (DP).

2004

  • Computational methods for matrix groups and group representations; Cannon J, Holt D; Australian Research Council (ARC)/Discovery Projects (DP).

2001

  • Effective methods in class field theory; Cannon J, Pohst M; Australian Research Council (ARC)/Large Research Grants (LRG).

2000

  • High performance software tools for cryptography and coding theory; Cannon J, Brent R; Australian Research Council (ARC)/Large Research Grants (LRG).
  • A cohomological approach to computing the fundamental invariants of a finite group; Cannon J; Australian Research Council (ARC)/Large Research Grants (LRG).
  • An integrated approach to computation in arithmetic fields; Cannon J; Australian Research Council (ARC)/Large Research Grants (LRG).

Selected publications

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Journals

  • Cannon, J., Holt, D. (2013). Computing Projective Indecomposable Modules and Higher Cohomology Groups. Experimental Mathematics, 22(1), 51-59. [More Information]
  • Cannon, J., Donnelly, S., Fieker, C., Watkins, M. (2010). Magma - a tool for number theory. Lecture Notes in Computer Science (LNCS), 6327, 253-255. [More Information]
  • An, J., Cannon, J., O'Brien, E., Unger, W. (2008). The Alperin weight conjecture and Dade's conjecture for the simple group Fi'24. London Mathematical Society Journal of Computation and Mathematics, 11, 100-145.
  • Cannon, J., Holt, D. (2008). The Transitive Permutation Groups of Degree 32. Experimental Mathematics, 17(3), 307-314.
  • Cannon, J., Holt, D. (2006). Computing conjugacy class representatives in permutation groups. Journal of Algebra, 300(1), 213-222. [More Information]
  • Cannon, J., Holt, D., Slattery, M., Steel, A. (2005). Computing subgroups of bounded index in a finite group. Journal of Symbolic Computation, 40(2), 1013-1022. [More Information]
  • Cannon, J., Holt, D. (2004). Computing Maximal Subgroups Of Finite Groups. Journal of Symbolic Computation, 37(5), 589-609.
  • Cannon, J., Eick, B., Leedham-Green, C. (2004). Special polycyclic generating sequences for finite soluble groups. Journal of Symbolic Computation, 38(5), 1445-1460.
  • Cannon, J., Holt, D. (2003). Automorphism group computation and isomorphism testing in finite groups. Journal of Symbolic Computation, 35(3), 241-267.
  • Cannon, J., Cox, B., Holt, D. (2001). Computing the subgroups of a permutation group. Journal of Symbolic Computation, 31(1-2), 149-161.

Other

  • Cannon, J., Holt, D., Unger, W. (2003), Magma package for the structure of finite groups. Coded in C and in the Magma language.

2013

  • Cannon, J., Holt, D. (2013). Computing Projective Indecomposable Modules and Higher Cohomology Groups. Experimental Mathematics, 22(1), 51-59. [More Information]

2010

  • Cannon, J., Donnelly, S., Fieker, C., Watkins, M. (2010). Magma - a tool for number theory. Lecture Notes in Computer Science (LNCS), 6327, 253-255. [More Information]

2008

  • An, J., Cannon, J., O'Brien, E., Unger, W. (2008). The Alperin weight conjecture and Dade's conjecture for the simple group Fi'24. London Mathematical Society Journal of Computation and Mathematics, 11, 100-145.
  • Cannon, J., Holt, D. (2008). The Transitive Permutation Groups of Degree 32. Experimental Mathematics, 17(3), 307-314.

2006

  • Cannon, J., Holt, D. (2006). Computing conjugacy class representatives in permutation groups. Journal of Algebra, 300(1), 213-222. [More Information]

2005

  • Cannon, J., Holt, D., Slattery, M., Steel, A. (2005). Computing subgroups of bounded index in a finite group. Journal of Symbolic Computation, 40(2), 1013-1022. [More Information]

2004

  • Cannon, J., Holt, D. (2004). Computing Maximal Subgroups Of Finite Groups. Journal of Symbolic Computation, 37(5), 589-609.
  • Cannon, J., Eick, B., Leedham-Green, C. (2004). Special polycyclic generating sequences for finite soluble groups. Journal of Symbolic Computation, 38(5), 1445-1460.

2003

  • Cannon, J., Holt, D. (2003). Automorphism group computation and isomorphism testing in finite groups. Journal of Symbolic Computation, 35(3), 241-267.
  • Cannon, J., Holt, D., Unger, W. (2003), Magma package for the structure of finite groups. Coded in C and in the Magma language.

2001

  • Cannon, J., Cox, B., Holt, D. (2001). Computing the subgroups of a permutation group. Journal of Symbolic Computation, 31(1-2), 149-161.

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