Research

Research summary:
(New!) Signal processing
The pulse processing problem.
Applied geometry
The isogeometric segmentation problem.
Differential geometry and its applications
Variational problems and ordinary differential equations in Riemannian manifolds and Lie groups.
Combinatorics
Flag-transitive linear spaces and polynomials over finite fields.

Publications

Peer-reviewed publications

  1. D. M. Nguyen, M. Pauley and B. Jüttler,
    Isogeometric segmentation: Construction of auxiliary curves.
    Computer-Aided Design, Volume 70, 2016, Pages 89-99
  2. M. Pauley, D. M. Nguyen, D. Mayer, J. Špeh, O. Weeger and B. Jüttler,
    The isogeometric segmentation pipeline.
    Isogeometric Analysis and Applications 2014 proceedings, Lecture Notes in Computational Science and Engineering, Vol. 107, Pages 51-72.
  3. B. Jüttler, M. Kapl, D. M. Nguyen, Q. Pan and M. Pauley,
    Isogeometric segmentation: The case of contractible solids without non-convex edges.
    Computer-Aided Design Volume 57, December 2014, Pages 74-90
  4. D. M. Nguyen, M. Pauley and B. Jüttler
    Isogeometric segmentation. Part II: On the segmentability of contractible solids with nonconvex edges.
    Graphical Models Volume 76, Issue 5, September 2014, Pages 426-439
  5. Ó. Garay and M. Pauley,
    Non-geodesic particle trajectories with vanishing higher accelerations.
    Journal of Geometry and Physics, Volume 74, December 2013, 342-351.
  6. Ó. Garay and M. Pauley,
    Critical Curves for a Santaló Problem in 3-space forms.
    Journal of Mathematical Analysis and Applications 398, Issue 1 (2013) 80-99.
  7. M. Pauley and L. Noakes,
    Cubics and negative curvature.
    Differential Geometry and its Applications 30, Issue 6 (2012) 694-701.
  8. M. Pauley,
    Jupp and Kent's cubics in Lie groups.
    Journal of Mathematical Physics 52, (2011) 013515, 9pp.
  9. M. Pauley,
    Parabolic curves in Lie groups.
    Journal of Mathematical Physics 51 (2010) 053526, 10pp.
  10. M. Pauley and J. Bamberg,
    A construction of one-dimensional affine flag-transitive linear spaces.
    Finite Fields and Their Applications 14 (2008) 537-548.

Other publications

  1. Ó. Garay and M. Pauley,
    Lift-Off Fellowship report. Geodesics: a natural breeding ground for geometrical problems.
    Gazette of the Australian Mathematical Society 40, No. 4 (2013) 261-263.

Theses

Cubics, curvature and asymptotics - Phd Thesis, The University of Western Australia, 2011.

Flag-transitive linear spaces and line spreads of projective spaces - Honours thesis, The University of Western Australia, 2006.