Statistics of quasiparticles

Supervisor

Prof. Peter Bouwknegt Phone: 6125 2969

Collective excitations in quantum many body systems (as, e.g., in the fractional quantum Hall effect) often exhibit statistics different from the usual boson or fermion statistics. A particular form of these more general "exclusion statistics" has been introduced by Haldane. The aim of this project is to investigate aspects of these more general exclusion statistics using techniques from algebraic geometry.