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
 Flagtransitive linear spaces and polynomials over finite fields.
Publications
Peerreviewed publications

D. M. Nguyen, M. Pauley and B. Jüttler,
Isogeometric segmentation: Construction of auxiliary curves.
ComputerAided Design, Volume 70, 2016, Pages 8999 
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 5172. 
B. Jüttler, M. Kapl, D. M. Nguyen, Q. Pan and M. Pauley,
Isogeometric segmentation: The case of contractible solids without nonconvex edges.
ComputerAided Design Volume 57, December 2014, Pages 7490 
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 426439 
Ó. Garay and M. Pauley,
Nongeodesic particle trajectories with vanishing higher accelerations.
Journal of Geometry and Physics, Volume 74, December 2013, 342351. 
Ó. Garay and M. Pauley,
Critical Curves for a Santaló Problem in 3space forms.
Journal of Mathematical Analysis and Applications 398, Issue 1 (2013) 8099. 
M. Pauley and L. Noakes,
Cubics and negative curvature.
Differential Geometry and its Applications 30, Issue 6 (2012) 694701. 
M. Pauley,
Jupp and Kent's cubics in Lie groups.
Journal of Mathematical Physics 52, (2011) 013515, 9pp. 
M. Pauley,
Parabolic curves in Lie groups.
Journal of Mathematical Physics 51 (2010) 053526, 10pp. 
M. Pauley and J. Bamberg,
A construction of onedimensional affine flagtransitive linear spaces.
Finite Fields and Their Applications 14 (2008) 537548.
Other publications

Ó. Garay and M. Pauley,
LiftOff Fellowship report. Geodesics: a natural breeding ground for geometrical problems.
Gazette of the Australian Mathematical Society 40, No. 4 (2013) 261263.
Theses
Cubics, curvature and asymptotics  Phd Thesis, The University of Western Australia, 2011.
Flagtransitive linear spaces and line spreads of projective spaces  Honours thesis, The University of Western Australia, 2006.