Adam Piggott

Senior Lecturer / First Year Coordinator

Adam was an undergraduate at the University of Wollongong (B.Math, Honours first class, and B.CompSci) and a graduate student at the University of Oxford (D.Phil. Mathematics). Working as a mathematician in the USA for 13 years (three years at Tufts University and ten years at Bucknell University), he gained considerable experience teaching undergraduate mathematics within the liberal arts model. He returned to Australia in 2018, spending two and half years at the University of Queensland before moving to the Australian National University in 2021 to become the First-year Coordinator in the Mathematical Sciences Institute.

Research interests

Geometric Group Theory; Groups presented by rewriting systems; Automorphism groups of groups.

Groups

  • Eisenberg, A & Piggott, A 2019, 'Gilman's conjecture', Journal of Algebra, vol. 517, pp. 167-185.
  • Cunningham, C, Eisenberg, A, Piggott, A et al. 2016, 'Recognizing right-angled Coxeter groups using involutions', Pacific Journal of Mathematics, vol. 284, no. 1, pp. 41-77.
  • Cunningham, C, Eisenberg, A, Piggott, A et al. 2016, 'CAT(0) Extensions of Right-angled Coxeter Groups', Topology proceedings, vol. 48, pp. 277-287.
  • Piggott, A 2015, 'On groups presented by monadic rewriting systems with generators of finite order', Bulletin of the Australian Mathematical Society, vol. 91, no. 3, pp. 426-434.
  • Koban, N & Piggott, A 2014, 'The Bieri-Neumann-Strebel invariant of the pure symmetric automorphisms of a right-angled artin group', Illinois Journal of Mathematics, vol. 58, no. 1, pp. 27-41.
  • Brooksbank, P & Piggott, A 2012, 'On the Derived Length of Coxeter Groups', Communications in Algebra, vol. 40, no. 3, pp. 1142-1150.
  • Gutierrez, M, Piggott, A & Ruane, K 2012, 'On the automorphisms of a graph product of abelian groups', Groups, Geometry, and Dynamics, vol. 6, no. 1, pp. 125-153.
  • Piggott, A 2012, 'The symmetries of McCullough-Miller space', Algebra and Discrete Mathematics, vol. 14, no. 2, pp. 239-266.
  • Piggott, A & Ruane, K 2010, 'Normal forms for automorphisms of universal coxeter groups and palindromic automorphisms of free groups', International Journal of Algebra and Computation, vol. 20, no. 8, pp. 1063-1086.
  • Piggott, A, Ruane, K & Walsh, G 2010, 'The automorphism group of the free group of rank 2 is a CAT(0) group', Michigan Mathematical Journal, vol. 59, no. 2, pp. 297-302.
  • Gutierrez, M & Piggott, A 2008, 'Rigidity of graph products of abelian groups', Bulletin of the Australian Mathematical Society, vol. 77, no. 2, pp. 187-196.
  • Piggott, A 2007, 'The manifestation of group ends in the todd-coxeter coset enumeration procedure', International Journal of Algebra and Computation, vol. 17, no. 1, pp. 203-220.
  • Piggott, A 2007, 'Andrews-Curtis groups and the Andrews-Curtis conjecture', Journal of Group Theory, vol. 10, no. 3, pp. 373-387.

In Semester 1, 2021 I will be the course convenor and lecturer for MATH1005/MATH6005 Discrete Mathematical Structures.