Our campus is
on Wurundjeri
land, and this
has been
a place of learning and innovation for tens of thousands of years.
I acknowledge and respect all ancestral lands of Australia’s
First Peoples
and I pay my respects to their Elders and their families.
Department of Mathematics and Statistics
The University of Melbourne
Parkville, Victoria, 3010
Australia
Email:
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.)
Editorial work: I am an associate editor for the Journal of the Australian Mathematical Society.
Literature on topological modular forms
Kshitija Vaidya (working towards MSc).
Jonah Nelson (working towards MSc).
Owen Chengjing Zhang (working towards MSc).
Adam Walsh (MSc 2020). Thesis: Obstruction Theories for Categorical Group Extensions
Thomas Dove (MSc 2020). Thesis: Twisted Equivariant Tate K-Theory
Matthew Spong (PhD 2019). Thesis: Comparison Theorems for Torus-Equivariant Elliptic Cohomology Theories
Heath Winning (Master of Science 2017).
James Richardson (Master of Science, 2014). 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.