Chercheurs

Mathématiques / STROPPEL, CATHARINA

Position

Reader,
Department of Mathematics,
University of Glasgow,
University Gardens,
Glasgow, UK.

Thèmes de recherche

Representation theory of Lie algebras

Connections to Topology (in particular knot invariants, manifold invariants)
Categorification and TQFT
Combinatorial aspects of representation theory (Schubert calculus, Kazdhan-Lusztig theory, canonical bases etc.)
Hecke algebras and their representation theory
Diagram algebras categorification and higher category theory

Prix et récompenses

2007 Whitehead Prize for her contributions to representation theory, in particular in the framework of categorations, and its applications to low-dimensional topology (London Mathematical Society).

Publications

Quadratic duals, Koszul dual functors, and applications (jt. with V. Mazorchuk, S. Ovsienko) to appear in Trans AMS.

On functors associated to a simple root (with V. Mazorchuk) to appear in J. Algebra.

Projective-injective modules, Serre functors and symmetric algebras (jt. with V. Mazorchuk) to appear in J. Reine und Angew. Math.

A categorification of integral Specht modules (jt. with M. Khovanov, V. Mazorchuk) to appear in Proc. AMS

A categorification of finite-dimensional irreducible representations of quantum sl(2) and their tensor products. (jt. with I. Frenkel, M. Khovanov) to appear in Selecta Mathematica

Appendix to V. Mazorchuk, S. Ovsienko: A pairing in homology and the category of linear tilting complexes for a quasi-hereditary algebra (J. Math. Kyoto Univ 45, 2005)

Categorification of the Temperley-Lieb algebra, Tangles and cobordisms via projective functors (Duke 126, 2005)

Translation and shuffling of projectively presentable modules and a categorification of a parabolic Hecke module (jt. with V. Mazorchuk) Trans AMS 2005

A structure theorem for Harish-Chandra bimodules via coinvariants and Golod rings. (Journal of Algebra 282, 2004)

Twisting functors on O (jt. with H. H. Andersen) Representation Theory 7, 2003.

Composition factors of quotients of the universal enveloping algebra by primitive ideals (Journal of the LMS 70, 2004)

Quivers of Category O and Endomorphism Rings of Projectives (Representation Theory 7, 2003)

Category O: Gradings and Translation Functors (Journal of Algebra 268, 2003)

Homomorphisms and Extensions of Principal Series Representations ( Journal of Lie Theory 13, 2003)