Michael Payne

Department of Mathematics and Statistics
Richard Berry Building, Room 203
University of Melbourne
Parkville, VIC 3010
Tel +61 3 8344 7671
Email m.payne3 "arroba" pgrad.unimelb.edu.au

I am a PhD student in the Discrete Structures and Algorithms research group under the supervision of David Wood.
David Wood, Helmut Alt and Jens Schmidt and I were awarded a Go8/DAAD Joint Research Co-Operation Scheme grant for 2011/2012.
I did 'Phase I' at the Berlin Mathematical School. There I was a member of Günter M. Ziegler's Discrete Geometry group at TU Berlin (since relocated to FU Berlin).
I did my undergraduate studies in Australia at Monash University.
My research interests centre around discrete geometry and geometric graph theory.
Conferences I have attended: 35ACCMCC (Monash), EGC2011 (Alcalá de Henares), AMSSC2011 (Monash), 34ACCMCC (ANU), Geometric Graph Theory (EPFL), Bernoulli Conference on DCG (EPFL), ICM2010 (Hyderabad), VMSSC1 (Melbourne), VAC27 (Melbourne), 33ACCMCC (Newcastle).

Which point sets admit a k-angulation?, with Jens M. Schmidt and David R. Wood, arXiv preprint (2012).
On the connectivity of visibility graphs, with Attila Pór, Pavel Valtr and David R. Wood, arXiv preprint (2011).
Unit distance graphs with ambiguous chromatic number, Electron. J. Combin. 16 (2009), no. 1, Note 31, 7 pp.
A dense distance 1 excluding set in R³, with D. Coulson, Austral. Math. Soc. Gaz. 34 (2007), no. 2, 97-102.

Slides from my 35ACCMCC talk: Finding k-angulations on point sets.
Slides from various talks: On the connectvity of visibility graphs.
Slides from my Discrete Structures and Algorithms Seminar talk: Colouring the plane.
Slides from my 33ACCMCC talk: Unit distance graphs with ambiguous chromatic number.