PhD in Mathematics, Massey University, New Zealand (2010)
PhD in Astronomy, University of Southampton, UK (1990)
Postgraduate Certificate in Education, La Sainte Union, Southampton, UK (1994)
BSc Physics, University of Southampton, UK (1985)
I have been working full time in the Faculty of Business and Law at AUT since July 2010, and part-time prior to this since 2008, teaching mathematics and statistics to business undergraduates. During this time I have been researching into mathematics, astronomy and pedagogy. Previous employment has included ten years as a primary school teacher and five years in the secondary sector, including time in both the UK and New Zealand. This has given me a wide experience and interest in pedagogy at all levels, particularly computer and mathematics education. I undertook undergraduate and postgraduate studies at the University of Southampton, where I also worked as a full time researcher, developing the imaging system on the International Gamma-Ray Astrophysical Laboratory (INTEGRAL) for the European Space Agency. I have also completed a PhD, studying part-time at Massey University, graduating in 2010.
Quantitative Methods for Business
Astronomy (consultative role)
Coded aperture imaging
Difference sets and qualified difference sets
Correlation properties of sequences and arrays
Applications of number theoretic systems to astronomy
Image and signal processing
Mathematics and computer education
Current Research Projects:
Fast decoding of coded aperture imaging systems
Medical imaging using coded apertures
Pasifika mathematics education
K. Byard and P.M.E. Shutler. “Singer Product Apertures – A Coded Aperture System with a Fast Decoding Algorithm.” Nuclear Instruments and Methods in Physics Research A856, 147-153 (2017).
P.M.E. Shutler and K. Byard. “Signal-to-Noise Ratio of Singer Product Apertures.” Nuclear Instruments and Methods in Physics Research A867, 237-258 (2017).
K. Byard. “Fast Decoding Algorithms for Geometric Coded Apertures.” Nuclear Instruments and Methods in Physics Research A803, 1-3 (2015).
K. Byard. “Application of Fast Cross-Correlation Algorithms.” Electronics Letters, 51, 242-244 (2015).
K. Byard. “Fast Decoding Algorithms for Coded Aperture Systems.” Nuclear Instruments and Methods in Physics Research A754, 39-41 (2014).
K. Byard. “Index Class Apertures – A Class of Flexible Coded Aperture.” Applied Optics 51(16), 3453-3460 (2012).
K. Byard, R. Evans and M. Van Veen, “Lam’s Power Residue Addition Sets.” Advances in Applied Mathematics, 46, 94-108 (2011).
K. Byard. “Twelfth Power Qualified Residue Difference Sets.” INTEGERS, 9, 401-410 (2009).
K. Byard and K. Broughan. “Qualified Difference Sets From Unions of Cyclotomic Classes.” Bulletin of the Australian Mathematical Society, 80,147-158 (2009).
K. Byard. “Tenth Power Qualified Residue Difference Sets.” International Journal of Number Theory, 5, 797-803 (2009).
K. Byard. “On Qualified Residue Difference Sets.” International Journal of Number Theory, 2(4), 591-597 (2006).
K. Byard. “Computers in Classrooms – Theirs or Ours?” Computer Education 107, 3-6 (2004).
K. Byard. “Oranges Aren’t the Only Fruit – Ask a Gardner. Some Implications of the National Literacy and Numeracy Strategies.” Education 3-13, 32(1), 9-13 (2004).
K. Byard. “Where Have All the Clubs Gone? The Decline in Extra-Curricular Activities.” Education 3-13, 31(2) 60-63 (2003).
K. Byard. “Is Seeing Really Believing? Observation Lessons from a Teacher's Perspective.” Education 3-13, 30(2), 56-61 (2002).
D. Jennings and K. Byard. “Qualified Residue Difference Sets with Zero.” Discrete Mathematics, 181(1-3), 283-288 (1998).
D. Jennings and K. Byard. “An Extension for Residue Difference Sets.” Discrete Mathematics, 167/168, 405-410 (1997).
I.D. Jupp, K. Byard and A.J. Dean. “An Improved Sampling Configuration for a Coded Aperture Telescope.” Nuclear Instruments and Methods in Physics Research A345, 576-584 (1994).
K. Byard and D. Ramsden. “Coded-Aperture Imaging Using Imperfect Detector Systems.” Nuclear Instruments and Methods in Physics Research A342, 600-608 (1994).
K. Byard. “Family of Binary Sequences with Useful Correlation Properties.” Electronics Letters, 29, 2011 (1993).
K. Byard. “Synthesis of Binary Arrays with Perfect Correlation Properties - Coded Aperture Imaging.” Nuclear Instruments and Methods in Physics Research A336, 262-268 (1993).
K. Byard. “On Self-Supporting Coded Aperture Arrays.” Nuclear Instruments and Methods in Physics Research A322, 97-100 (1992).
K. Byard. “Square Element Antisymmetric Coded Apertures.” Experimental Astronomy, 2, 227-232 (1992).
K. Byard. “An Optimised Coded Aperture Imaging System.” Nuclear Instruments and Methods in Physics Research A313, 283-289 (1992).
A.J. Dean and K. Byard. “Requirements of Future Gamma-Ray Missions - Imaging.” Advances in Space Research, 11(8), 379-396 (1991).
Goldwurm, K. Byard, A.J. Dean, C.J. Hall and J.S.J. Harding. “Laboratory Images with HURA Coded Apertures.” Astronomy and Astrophysics, 227, 640-648 (1990).
K. Byard, A.J. Dean, A. Goldwurm, C.J. Hall, J.S.J. Harding and F. Lei. “Imaging Using HURA Coded Apertures with Discrete Pixel Detector Arrays.” Astronomy and Astrophysics, 227, 634-639 (1990).
C.J. Hall, B. Agrinier, K. Byard, A.J. Dean, A. Goldwurm, J.S.J. Harding and C. Labanti. “Beam Tests of a 3-D Position Sensitive Scintillation Detector.” IEEE Transactions on Nuclear Science, NS-36, 863-865 (1989).
A.J. Dean, Lei Fan, K. Byard, A. Goldwurm, C.J. Hall and J.S.J. Harding. “The Gamma-Ray Emissivity of the Earth's Atmosphere.” Astronomy and Astrophysics, 219, 358-361 (1989).
A.J. Dean, Lei Fan, K. Byard, A. Goldwurm and C.J. Hall. “Radioactivity Induced Background Noise in Space-Borne Astronomical Gamma-Ray Telescopes Employing Inorganic Scintillation Spectrometers.” Experimental Astronomy, 1, 35-45 (1989).
Faculty of Business, Economics and Law Excellence in Teaching Award 2016