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 under the supervision of David Wood, who recently moved to Monash University.
My research interests centre around discrete geometry and geometric graph theory.
Together with Helmut Alt and Jens Schmidt from Theoretical Computer Science at FU Berlin, David Wood 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.
I have attended various conferences: 36ACCMCC (UNSW), MCW18 (Charles University), 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).

On the general position subset selection problem, with David R. Wood (2012).
Progress on Dirac's conjecture, with David R. Wood (2012).
Empty pentagons in point sets with collinearities, with János Barát, Vida Dujmović, Gwenaël Joret, Ludmila Scharf, Daria Schymura, Pavel Valtr and David R. Wood (2012).
Which point sets admit a k-angulation?, with Jens M. Schmidt and David R. Wood (2012).

On the connectivity of visibility graphs, with Attila Pór, Pavel Valtr and David R. Wood, Discrete Comput. Geom. 48 (2012), no. 3, 669-681.
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.