Catharina Stroppel

Mathematisches Institut
Universität Bonn

Endenicher Allee 60
Zimmer 1.006
53115 Bonn Germany
email: stroppel@uni-bonn.de
Tel: +49 (0) 228 73 6838
Office hours:
Wednesdays, 12-13

Secretary:

Frau Knauf
Endenicher Allee 60
Room 1.010
53115 Bonn
email: knauf@math.uni-bonn.de
Tel: +49 (0) 228 73 62260

Research interests:

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

Our working group:
Algebra and Representation Theory in Bonn

Research:
- Publications/Preprints (see also the arxiv)
  newest:
  (jt. with H. H. Andersen): Fusion rings for quantum groups
  (jt. with J. Meinel): Goldie rank of primitive quotients via lattice point enumeration
  (jt. with M. Ehrig): 2-row Springer fibres and Khovanov diagram algebras for type D
  (jt. with B. Webster): Quiver Schur algebras and q-Fock space
  (jt. with J. Brundan): Gradings on Walled Brauer Algebras and Khovanov's Arc Algebra, Adv. Math. 231 (2012), no. 2, 709–773
  (jt. with J. Sussan): Categorified Jones-Wenzl projectors: a comparison
  (jt. with P. N. Achar): Completions of Grothendieck groups
  (jt. with I. Frenkel, J. Sussan): Categorifying fractional Euler characteristics, Jones-Wenzl projectors and 3j-symbols, Quantum Topol. 3 (2012), no. 2, 181–253

Seminars
- Oberseminar Darstellungstheorie (DAS) (Mondays 16-18)
- Bonn-Cologne Algebra Seminar (BKA)
Teaching (SS 2013)
Lecture course: V4A3: Representation Theory I (Wednesday 10-12 - MATH/SemR 1.008, Friday 8-10 - MATH/SemR 1.008) with Olaf Schnürer
Exercises to Representation Theory I (time and room will be announced in the lectures)
Seminar (Master) on algebraic groups (with Hanno Becker) - program here, first meeting Friday, 12th April, 10:00 in SR 1.008
Seminar (Master & PhD students) on equivariant cohomology (Friday, 10-12 - MATH/SemR 1.008) - program
Seminar Graduiertenkolleg (Thursday 14-17 - MATH/SemR 1.008)
Teaching (WS 2012/2013)
No teaching due to a sabbatical (Forschungssemester)
Teaching (SS 2012)
No teaching due to leave of absence (Beurlaubung)
Teaching (WS 2011/2012)
Lecture course: V2A1: Groups, rings and modules / Gruppe, Ringe, Moduln (Tuesdays 14-16, Thursdays 10-12)
Seminar on Koszul duality (after Positsel'skii) (Fridays 12-14)
Teaching (SS 2011)
Lecture course: Representation Theory II (Mondays 8-10, Wednesdays 10-12)
Seminar on Representation theory and complex geometry (Mondays 14-16)
Seminar on Khovanov homology and invariants of trivalent graphs (Fridays 14-16)
Teaching (WS 2010/2011):
Lecture course: Algebra II (Mondays 12-14, Thursday 14-16)
Seminar on Braid groups and Hecke algebras (Seminar zu Zopfgruppen und Heckealgebren) (Friday 10-12)
Vorläufiges Programm als Orientierung, im Detail können sich noch Änderungen ergeben
Teaching (SS 2010):
Lecture course: Algebra I (run by Dr. Markus Perling)
Graduate Seminar Representation theory:
Seminar on tilting theory (run by Dr. Markus Perling) (Mondays 14-16)
Teaching (WS 2009/2010):
Lecture Course: Groups, rings and modules / Gruppe, Ringe, Moduln
(Mondays 12-14, Fridays 14-16)
Lecture Course: Advanced topics in representation theory (2 hours)
Graduate Seminar Representation theory
(Flag varieties, Kac-Moody groups and representation theory) (Thursdays 14-18)