Department of Mathematics and Statistics
The University of Melbourne
Parkville, Victoria, 3010
Office: Richard Berry 169
Phone: +61 3 8344 9711
Elliptic cohomology and its role in representation theory. This program is joint with Arun Ram and brings together previous work of M. Ando, I. Rosu, I. Grojnowski, E. Looijenga, and Ginzburg-Kapranov-Vasserot.
Categorified character theory. This program is partly joint with Mikhail Kapranov and extends our previous work on the subject.
Another interest of mine is still in Moonshine and the Monster. (See also Baby Monsters.)
Literature on topological modular forms
James R. Jones (working towards a Master of Philosophy).
Narthana Epa (Honours 2010). Thesis title: Platonic 2-groups. Narthana won the 2010 Urquhart Prize.