My papers on arXiv:
link.
Publications
-
A geometric model of tube categories with R. Marsh, Journal of Algebra,
362, pp. 178 - 191.
http://dx.doi.org/10.1016/j.jalgebra.2012.04.009
link to arxiv version
- Categorification of a frieze pattern determinant
with Robert Marsh, Journal of Combinatorial Theory Series A 119 (2012),
pp. 1110-1122,
DOI information: 10.1016/j.jcta.2012.02.006
link to arxiv version
- On the complement of the dense orbit for a quiver of
type A with L. Hille,
link
- On the complement of the Richardson orbit with L. Hille,
Math. Z., DOI: 10.1007/s00209-011-0920-9,
link
-
Geometric realizations of orbit categories
to appear in Oberwolfach reports, 2011, link
-
Polygone, Clusteralgebren und Clusterkategorien Article for a book (in German!) by Teubner Verlag, 2011,
link
- Quasi-reductive (bi)parabolic subalgebras of reductive Lie algebras
with A. Moreau. Annales de l'Institut Fourier, Vol. 61, no. 2, 2011, link
- D-filtered modules and nilpotent orbits of a parabolic
subgroup in O_N
with K. Erdmann and A. Parker, Journal of Pure and Applied Algebra, Vol. 215, Issue 5, 2011, link
- Secant dimensions of low-dimensional homogeneous varieties
with Jan Draisma, Adv. Geometry, 10 (2010), no. 1
arXiv
-
Frieze patterns for punctured discs
with Robert Marsh. Appendix by Hugh Thomas.
Journal of Algebraic Combinatorics, Vol 30, Issue 3 (2009) link
-
A geometric description of the $m$-cluster categories of
type $D_n$
with Robert Marsh
International Mathematical Research Notices (2007) Vol. 2007 doi:10.1093/imrn/rnm011, link
-
Richardson elements for parabolic subgroups of classical groups
in positive characteristic
with Simon Goodwin
Algebr. Represent. Theory 11 (2008), no. 3, 275 - 297, link
-
A geometric construction of $m$-cluster categories
with Robert Marsh
Trans. Amer. Math. Soc. 360 (2008), 5789-5803, link
-
A class of gradings of simple Lie algebras
with Nolan Wallach
Cont. Math. 442 (2007), AMS, 3-15, link
-
Secant Dimensions of Minimal Orbits: Computations
and Conjectures
with Jan Draisma, Willem de Graaf
Experiment. Math. 16 (2007), no. 2, 239 - 250, link
-
Richardson elements and birationality questions
in Enveloping algebras and geometric representation
theory, Oberwolfach Rep. 2, 2005, no. 1, 723 - 777, link
-
Periodicity and growth in a lattice gas
with dynamical geometry
with J. Rabin, D. Meyer
Physical Review E, 73, 026129 (2006), link
-
Richardson elements for the classical Lie algebras
Journal of Algebra (2006), Vol 297/1, 168 - 185, link
-
A normal form for admissible characters in the sense of Lynch
Represent. Theory 9 (2005), 30 - 45, link
-
Nice Parabolic Subalgebras of Reductive Lie Algebras
with Nolan Wallach
Represent. Theory 9 (2005), 1 - 29, link
-
Higher secant varieties of the minimal adjoint orbit
with Jan Draisma
Journal of Algebra (2004), 280/2, 743 - 761, link
-
Cartan components and decomposable tensors
Transformation Groups, 8 (2003), no. 4, 309 - 319, link
Preprints
General audience talk
-
Triangulationen - Dreiecke als Grundbausteine von Polygonen. Slides
of a talk at the Seniorenuniversitaet Zuerich (i.e. the University for
retired people, Zurich), March 2011,
pdf-file
Further work
- An overview talk on geometric models for cluster algebras
and cluster categories, held at the Courant-Colloquium
"Goettingen Trends in Mathematics",
Goettingen, October 2007,
pdf-file.
- Geometric construction of cluster algebras and cluster categories,
pdf-file.
This is an expanded version of a talk given at the Courant-Colloquium
"Goettingen Trends in Mathematics"
in Goettingen, October 2007.
arXiv
-
Cluster categories, m-cluster categories and diagonals in polygons.
To appear in the proceedings of the Grenoble Summer School, Seminaires et Congres,
S.M.F.
This is an expanded version of a talk given at the Grenoble Summer School
in 2008.
-
A talk on the geometric description of m-cluster categories,
pdf-file, February 2007.
-
Lecture notes on Richardson elements
pdf-file, May 2006.
-
PhD Thesis: Two contributions to the representation theory of
algebraic groups,
pdf-file
- Diploma thesis: A covering construction in complex
projective space,
abstract.