Publications :Publication List (sourced via UOW Database)
Dall'Acqua, A., Deckelnick, K. & Wheeler, G. (2013). Unstable willmore surfaces of revolution subject to natural boundary conditions. Calculus of Variations and Partial Differential Equations, 48 (3-4), 293-313.
McCoy, J., Wheeler, G. & Williams, G. (2011). Lifespan theorem for constrained surface diffusion flows. Mathematische Zeitschrift, 269 (1-2), 147-178.
Wheeler, G. (2013). On the curve diffusion flow of closed plane curves. Annali di Matematica Pura ed Applicata, 192 (5), 1-931.
Current Positions:Associate Lecturer in the Institute for Mathematics and its Applications
Biography:I graduated high school in 2002 at Foster High in regional New South Wales, Australia. Having received scholarships for the University of Wollongong I proceeded there to finished two undergraduate degrees: a Bachelor of Computer Science (with Distinction) in 2006 and a Bachelor of Advanced Mathematics (with Distinction and First Class Honours) in 2007.
For my computer science degree I majored in Artificial Intelligence and Computer Security. (I ended up writing just one paper on weighted segmented digital watermarking of collaborative works.)
For my mathematics degree I majored in formal logic, partial differential equations, measure theory, and differential geometry. My honours thesis was in the area of measure theory and concerned a classical theorem of Besicovitch, on planar Kakeya sets.
Supported by a scholarship, I began my PhD in geometric evolution equations under Dr. James McCoy and Prof. Graham Williams at the University of Wollongong in March 2007. I visited Prof. Klaus Ecker at the Freie Universität in Berlin supported by a DAAD Stipendium in April 2008, where I gave several talks on results from my thesis. I visited Germany several more times over the years (visiting again Prof. Klaus Ecker in 2008, and Prof. Gerhard Huisken in 2009, and Prof. Carsten Hartmann, Prof. Hans-Christoph Grunau in 2010).
By December 2009 my PhD thesis was submitted. (My PhD was not conferred until December 2010.) I held a short research associate position at the Institute for Mathematics and Its Application at the University of Wollongong. In June 2010 I was awarded a Humboldt Fellowship from the Alexander-von-Humboldt Stiftung to be taken at the Otto-von-Guericke Universität Magdeburg under Prof. Dr. Hans-Christoph Grunau.
As my AvH Fellowship ended in October 2012, I began my current appointment as an ARC Research Fellow at the University of Wollongong.
Research Interests:Calculus of Variations, Geometric Analysis, Nonlinear PDE, Differential Geometry.
Professional Activities:Reviewing, refereeing, societal governance, institutional governance.
Awards:B. Comp. Sci. (with Distinction) (2005)
B. Math. (Adv.) (First Class Honours) (2006)
APA Award (2007)
DAAD Fellowship (2008)
Alexander von Humboldt Fellowship (2010-2012)
Future Research Topics:Willmore flow, Helfrich flow, Fully nonlinear curvature flow, spectral theory.