Department of Mathematics and Statistics
The University of Melbourne
Parkville, Victoria, 3010
Office: Room 169, Peter Hall Building
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.
Another interest of mine is still in Moonshine and the Monster. (See also Baby Monsters.)
Literature on topological modular forms
Matthew Spong (working towards a PhD)
Heath Winning (working towards a Master of Science)
James Richardson (Master of Science). Thesis: The Homotopy Theory of 2-Groups.
Katie Bowles (Master of Science, 2014, joint supervision with Arun Ram). Thesis: Product Structure of Bott-Samelson Classes of Type G_2.
Robert Usher (Master of Science, 2013). Thesis: Representation and character theory of finite 2-groups.
James R. Jones (Master of Philosophy, 2012). Thesis: Characters of p-compact groups.
Narthana Epa (Honours 2010). Thesis title: Platonic 2-groups.