Faculty of Science and Technology

Percy, Andrew (Dr)

Email: andrew.percy@federation.edu.au Dr Andrew Percy

Room: 2W216

Phone: 5122 6478

Biography

I work at the Gippsland Campus of Federation University of Australia as a lecturer in mathematics and statistics.

My research interests include algebraic topology and mathematical modelling.

My interest in algebraic topology centres on the algebraic structure of integral cohomology groups together with all primary n-ary cohomology operations, stable and unstable. In particular, the Eckmann-Hilton duality of these ``H(R)-algebras'' and the ∏-algebras of homotopy theory, generating sets of integral cohomology operations, relations between these operations and the distinction between integral cohomology operations and those over field coefficients. I am also interested in the use of spectral sequences and aspects of category theory.

I am interested in collaboration across disciplines and indeed this has been my main focus in recent years, with more opportunity for publication. I find this research rewarding because the applications are usually of a less theoretical nature than algebraic topology, though these applications have still been at the forefront of genetics, microbiology and engineering. Currently I research 4 wheel drive/4 wheel steer vehicles and the modelling of CO2 capture from flue gas of coal fired power plants.

Qualifications

PhD - University of New England 2004

Grad Dip Ed - University of New England 2001

BSC (Hons) - University of New England 1998

BSC - University of Sydney 1996

Postgraduate research supervisions

Current supervision

Program of study: (Doctorate by research)

  • Thesis title: To develop an operator navigated snake like robot with steerable trailer wheels for inclined surfaces
  • Supervisors: Percy, A (Main), Chowdry, T (Associate), Appuhamillage, G (Associate).

Completed PhD supervision

Program of study: (Doctorate by research)

  • Thesis title: Resolutions of simplicial cohomology algeras
  • Supervisors: Percy, A (Main), Do, N (Associate).

Program of study: (Doctorate by research)

  • Thesis title: Development of a process model for the prediction of absorbent degradation during CO2 capture.
  • Supervisors: Percy, A (Main), Puxty, G (Associate), Verheyen, V (Associate).

Future research supervision

Andrew will supervise honours, masters and PhD students in the mathematical modelling areas of robotics and automation, carbon capture from coal fired power plants or on any suitable project suggested by a prospective student. For students with a strong background in algebraic topology he will also supervise projects on spectral sequences and integral cohomology operations.

Publications

Books

Percy, A., 2010, Integral cohomology algebras: The algebras of cohomology groups with integer coefficients and primary operations, Lambert Academic Publishing Ag & Co. KG, Germany.

Journal articles

Ian Spark and Andrew Percy, Vehicles with cooperative redundant multiple steering systems: alternative driver interfaces. Proc. IMechE. Part D: J. Automobile Engineering, 229(3), pp 311 - 329, 2015.

Percy, A., Spark, I.J., 2013, A numerical control algorithm for a B-double truck-trailer with steerable trailer wheels and active hitch angles. Part 2: reversing, Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering [P], vol 277, issue 6, Sage Publications Ltd., United Kingdom, pp. 899-904.

Percy, A., Spark, I.J., 2012, A numerical control algorithm for a B-double truck-trailer with steerable trailer wheels and active hitch angles, Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering [P], vol 226, issue 3, Professional Engineering Publishing Ltd, UK, pp. 289-300.

Percy, A., 2012, Going halfway with circular boundaries, Mathematical Gazette [P], vol 96, issue 535, The Mathematical Association, UK, pp. 159-160.

Percy, A., Spark, I., Ibrahim, M., 2011, New algorithms for navigating a gantry tractor comprising a 'chorus line' of synchronized modules, IEEE Transactions on Industrial Electronics [P], vol 58, issue 2, IEEE Inc, USA, pp. 398-402.

Percy, A., Carr, A., 2011, One coincidence after another!, Mathematical Spectrum [P], vol 44, issue 1, Applied Probability Trust, United Kingdom, pp. 5-7.

Percy, A., Spark, I., Ibrahim, M., Hardy, L., 2010, A numerical control algorithm for navigation of an operator-driven snake-like robot with 4WD-4WS segments, Robotica [P], vol 29, issue 3, Cambridge University Press, UK, pp. 471-482.

Percy, A., Arkinstall, J., 2010, Investigating the circle in general position, Far East Journal of Mathematical Education [P], vol 5, issue 2, Pushpa Publishing House, India, pp. 97-105.

Percy, A., Carr, A., 2010, Leaning on Socrates to derive the Pythagorean theorem, Australian Mathematics Teacher [P], vol 66, issue 2, Australian Association of Mathematics Teachers Inc., Australia, pp. 8-12.

Ibrahim, M., Spark, I., Percy, A., 2010, New control concept for a gantry tractor comprising a chorus line of synchronized modules, IEEE Transactions on Industrial Electronics [P], vol 57, issue 2, IEEE, USA, pp. 762-768.

Percy, A., 2010, Some examples of relations between non-stable integral cohomology operations, Bulletin of the Korean Mathematical Society [P], vol 47, issue 2, Korean Mathematiical Society, Republic of Korea, pp. 275-286.

Percy, A., Rogers, D.G., 2009, Alternative route: from van Schooten to Ptolemy, Normat: Nordisk Matematisk Tidskrift [P], vol 57, issue 3, Goeteborgs Universitet, Nationellt Centrum foer Matematikutbildning, Sweden, pp. 116-128.

Howgrave-Graham, A.R., Cookson, L.J., Percy, A., 2009, Using physical barriers to prevent in-ground wooden pole decay: Protecting forest and economic resources as well as soil and groundwater, International Journal of Environmental, Cultural, Economic and Social Sustainability [P], vol 5, issue 2, Common Ground, Melbourne, Australia, pp. 305-316.

Percy, A., Kinghorn, B.P., 2005, A genotype probability index for multiple alleles and haplotypes, Journal of Animal Breeding and Genetics, vol 122, issue 6, Blackwell Publishing, Oxford England, pp. 387-392.

Percy, A., 2004, An Eckmann-Hilton dual to the -algebras of homotopy theory, Illinois Journal of Mathematics, vol 48, issue 4, University of Illinois AT Urbana-Champaign, Department of Mathematics, USA, pp. 1305-1320.

Percy, A., 2003, Some examples of homotopy -algebras, Expositiones Mathematicae, vol 21, Fischer Verlag, Germany, pp. 47-62.

Percy, A., 1999, What's the algebra in algebraic topology?, The Australian Mathematical Society Gazette, vol 26, issue 2, Australian Mathematical Society, Toowoomba Qld Australia, pp. 61-65.

Conference proceedings

Percy, A., 2012, The problem with integer coefficients in cohomology theory, 56th Annual meeting of the Australian Mathematical Society, University of Ballarat, Ballarat, Australia, p. 72.

Percy, A., Spark, I.J., Ibrahim, M.Y., 2009, On-line determination of wheel angles and speeds for manoeuvrable gantry tractor comprising a "chorus line" of synchronised modules, Proceedings of the 2009 IEEE International Conference on Industrial Technology, 10 February 2009 to 13 February 2009, IEEE, Piscataway NJ USA, pp. 1-6.

Percy, A., 2007, Cohomology cross-cap products, 1st Joint Meeting of the American Mathematical Society and the New Zealand Mathematical Society, 12 December 2007 to 15 December 2007, Victoria University of Wellington, New Zealand and American Mathematics Societies, Wellington NZ, p. 90.

Percy, A., 2006, Integral cohomology operations and relations, 50th Annual Meeting of the Australian Mathematical Society, 25 September 2006 to 29 September 2006, Macquarie University, Sydney NSW Australia, p. 60.