Maria Gorelik
Incumbent of the Frances and Max Hersh Career Development Chair
My field of research is algebra and
more particularly representation theory of Lie super algebras. Representation
theory describes generalized symmetries and super symmetries of physical world
and provides a bridge between mathematics and physics. Lie super algebras are
a part of mathematical formulation of conformal field theory. In my research
I look for a unified approach to representation theory of simple Lie super algebras.
Recent Publications
- [with V. Kac] On simplicity of vacuum modules. Adv. Math. 211: 2 (2007) 621-677.
- On the generic Verma module at the critical level over affine Lie superalgebras. IMRN (2007), Id: rnm079.
- [with V. Kac] Characters of highest weight modules over affine Lie algebras are meromorphic functions. IMRN (2007), Id: rnm014.