About Us

The Lab represents the research group in Representation Theory of the Department of Mathematics, Physics and Computer Science of the University of Parma. Our activities are organized within the more general framework of Algebra & Geometry Group. In general, our work traverses noncommutative algebra, combinatorics, and representation theory, often at the interface with geometry and mathematical physics. Specific research interests include:

  • Lie algebras and Kac-Moody algebras
  • Hopf algebras and quantum groups
  • Yangians and quantum loop algebras
  • Physical Mathematics
  • Geometric Representation Theory
  • Coxeter and Artin groups
  • Higher category theory and categorification