Algebra & Number Theory

Capabilities

• Asilata Bapat: geometric and categorical representation theory, homological algebra, with connections to topology, combinatorics, and algebraic geometry.
• James Borger: algebra, especially number theory and algebraic geometry.
• Anand Deopurkar: algebraic geometry and its connections to number theory, representation theory, and mathematical physics, homological algebra.
• Ian Le: representation theory and algebraic combinatorics, cluster theory.
• Tony Licata: representation theory, categorification, homological algebra.
• Junhwi Lim: operator algebras, functional analysis, quantum symmetries
• Uri Onn: representation theory, analytic and algebraic groups.
• Svetlana Makarova: moduli stacks (usually of objects in some abelian category), derived categories, toric Fano manifolds. 
• Leonardo Maltoni: geometric representation theory,braid groups, categorification
• Brett Parker: symplectic geometry, Gromov-Witten and related invariants using exploded manifolds.
• Adam Piggott: geometric group theory, rewriting systems, automorphisms of the free group.
• James Tener: operator algebras, functional analysis, and representation theory, mathematical foundations of quantum field theory.
• Bryan Wang: geometric properties of moduli spaces in symplectic topology, gauge theory.

Reasons to work with us

We are a large, fundamental mathematical research groups at ANU. We support an active, collaborative research and learning environment. Our regular topics courses, seminars, and learning groups aimed at fostering interactions between mathematicians at all levels, from undergraduates through to continuing faculty. Our mathematicians are international leaders in their fields, and we maintain active collaborations with mathematicians all over the world.