Michael Ehrig

Penrose tiling

Research

I am interested in different aspects of representation theory, especially its connections to algebraic combinatorics, low dimensional topology and algebraic geometry.

The main aspect of my research is categorification and its application to the representation theory of algebraic groups and Lie algebras, as well as Lie superalgebras. A central building block in all of this are on the one hand KLR algebras and their variations and on the other hand centraliser algebras like the Brauer algebras and its relatives.

Through the interplay of Lie theory and categorification methods, many of the subjects thus have natural connections to either questions in algebraic geometry or low dimensional topology, in the form of link invariants.

Home

Research

Teaching

Publications and Preprints

  1. Relative cellular algebras
    with D. Tubbenhauer: ArXiv version
    (other versions: Local version)
  2. The periplectic Brauer algebra III: The Deligne category
    with K. Coulembier: ArXiv version
    (other versions: Local version)
  3. Functoriality of colored link homologies
    with D. Tubbenhauer and P. Wedrich: ArXiv version
    (other versions: Local version)
  4. The periplectic Brauer algebra II: Decomposition multiplicities
    with K. Coulembier: to appear in "Journal of Combinatorial Algebra"
    (other versions: ArXiv version and Local version)
  5. Singular TQFTs, foams and type D arc algebras
    with D. Tubbenhauer and A. Wilbert: ArXiv version
    (other versions: Local version)
  6. On the category of finite-dimensional representations of OSp(r|2n): Part I
    with C. Stroppel: to appear in "Representation theory - current trends and perspectives", EMS Series of Congress Reports
    (other versions: ArXiv version and Local version)
  7. Generic gl(2)-foams, web and arc algebras
    with C. Stroppel and D. Tubbenhauer: ArXiv version
    (other versions: Local version)
  8. The Blanchet-Khovanov algebras
    with C. Stroppel and D. Tubbenhauer: to appear in Contemporary Mathematics "Perspectives in Categorification"
    (other versions: ArXiv version)
  9. Koszul gradings on Brauer algebras
    with C. Stroppel: Int. Math. Res. Not. version
    (other versions: ArXiv version)
  10. Schur-Weyl duality for the Brauer algebra and the ortho-symplectic Lie superalgebra
    with C. Stroppel: Math. Zeitschrift version
    (other versions: ArXiv version and Local version)
  11. Nazarov-Wenzl algebras, coideal subalgebras and categorified skew Howe duality
    with C. Stroppel: to appear in "Advances in Mathematics"
    (other versions: ArXiv version and Local version)
  12. Diagrammatic description for the categories of perverse sheaves on isotropic Grassmannians
    with C. Stroppel: Selecta Mathematica version
    (other versions: ArXiv version and Local version)
  13. 2-row Springer fibres and Khovanov diagram algebras for type D
    with C. Stroppel: Canadian Journal of Mathematics version
    (other versions: ArXiv version)
  14. MV-polytopes via affine buildings
    Duke Mathematical Journal version
    (other versions: ArXiv version)

Thesises

  1. Construction of MV-polytopes via LS-galleries
    Dissertation, University of Cologne, 2008.
  2. Inklusionsverhalten von MV-Zykeln in Spezialfaellen
    Diploma thesis, University of Wuppertal, 2004.