My papers on arXiv: link.

Publications

• Friezes satisfying higher SL(k)-determinants, with E. Faber, S. Gratz, K. Serhiyenko, G. Todorov. Accepted for publication by Algebra and Number Theory. .
  Link to arxiv version.
  
  
• A geometric model for the module category of a gentle algebra, with R. Coelho Simoes, to appear, IMRN.
  Link to arxiv version.
  
  
• Cluster categories from Grassmannians and root combinatorics, with D. Bogdanic and A. Garcia Elsener. Link to arxiv version. Accepted by Nagoya Mathematical Journal.
  
  
• A generalised Euler-Poincaré formula for associahedra, with P.P. Martin. Bulletin of the LMS. https://doi.org/10.1112/blms.12221 Link to arxiv version.
  
  
• A geometric interpretation of categories of type à and of morphisms in the infinite radical , with H.A. Torkildsen. Algebras and Representation Theory, 2019. DOI 10.1007/s10468-019-09863-x. Online version of journal.
  
  
• The fibres of the Scott map on polygon tilings are the flip equivalence classes, with P. P. Martin, appendix with M. Glick, Monatshefte für Mathematik, Vol 3 (2018), 385-424. Doi.org/10.1007/s00605-018-1209-4. Link to arxiv version. Online version of journal.
  
  
• Perfect k-colored matchings and k+2-gonal tilings, with O. Aichholzer, L. Andritsch, B. Vogtenhuber. Graphs and Combinatorics (2018). DOI 10.1007/s00373-018-1967-8, .
  Link to arXiv version
  
  
• Transfinite mutations in the completed infinity-gon, with S. Gratz, Journal of Combinatorial Series A, Volume 155, April 2018, Pages 321-359.
  Link to arxiv version.
  
  
• Growth behaviour of periodic tame friezes, with K. Fellner, M. Parsons, M. Tschabold, arXiv:1603.02127, Revista Matemática, 2019, doi 10.4171/rmi/1063.
  Link to arxiv version.
  
  
• Mutation of friezes, with E. Faber, S. Gratz, K. Serhiyenko, G. Todorov, Bulletin des Sciences Mathématiques, Volume 142, February 2018, 1-48.
  Link to arxiv version.
  
  
• Strongness of companion bases for cluster-tilted algebras of finite type, with A. Nasr-Isfahani, Proceedings of the AMS, dx.doi.org/10.1090/proc/13977, Volume 146, Number 6, pages 2409-2416.
  Link to arxiv version.
  
  
• Extensions between Cohen-Macaulay modules of Grassmannian cluster categories, with D. Bogdanic. J. Algebraic Combin. 45 (2017), no. 4, 965-1000.
  Link to arxiv version.
  
  
• Mathematics and Arts: Towards a balance between artistic intuition and mathematical complexity with K. Fellner, IMN 231 (2016), 1-12. link
  
  
• Dimer models and cluster categories of Grassmannians, with A. King, R.J. Marsh. Proc. London Math. Soc. (2016) 113 (2): 213-260 doi:10.1112/plms/pdw029
  link to arxiv version.
  
  
• Infinite friezes with M. Parsons, M. Tschabold. European J. Combin. 54 (2016), 220-237 DOI 10.1016/j.ejc.2015.12.015
  link to arxiv version.
  
  
• Compactifying exchange graphs: annuli and tubes with G. Dupont. Annals of Combinatorics, Volume 18, Issue 3 (2014), pages 383-396,
  link to arxiv version.
  
  
• On the nilradical of a parabolic subgroup In: Roger Howe, Markus Hunziker, Jeb Willenbring (Hg.): Symmetry: Representation Theory and its Applications. In honour of Nolan Wallach. Birkhäuser. 2014. 21-32. to abstract/pdf
  
  
• Torsion pairs and rigid objects in tubes with A.B. Buan and R.J. Marsh. Algebras and Representation Theory, April 2014, Volume 17, Issue 2, pp 565-591, DOI: 10.1007/s10468-013-9410-6,
  link to arxiv version.
  
  
• Combinatorial analogues of ad-nilpotent ideals for untwisted affine Lie algebras with V. Mazorchuk. Journal of Algebra 372, pp. 85-107. http://dx.doi.org/10.1016/j.jalgebra.2012.08.025 link to archiv version.
  
  
• 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, Comm. Alg., Vol. 42, Issue 7, July 2014, pages 2871-2889. link to arxiv version.
  
  
• On the complement of the Richardson orbit with L. Hille, Math. Z., DOI: 10.1007/s00209-011-0920-9, link to arxiv version.
  
  
• 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
  
  
• Delta-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

• Cluster algebras generated by projective cluster variables with Alireza Nasr-Isfahani, arXiv:2011.03720
  Link to arXiv version.
• Orbifold diagrams with Andrea Pasquali and Diego Velasco, arXiv:2010.13812
  Link to arXiv version.
• Classification of cosilting modules in type à with Rosanna Laking, arXiv:1911.02495
  Link to arXiv version.
• Transformed flips in triangulations and matchings with Oswin Aichholzer, Lukas Andritsch, Birgit Vogtenhuber, arXiv:1907.08758 .
  Link to arXiv version.
• Higher extensions for gentle algebras with Sibylle Schroll, arXiv:1906.05257 .
  Link to arXiv version.

Further work

• Conway-Coxeter friezes and mutation: a survey, with E. Faber, S. Gratz, K. Serhyienko, G. Todorov Link
  
  
• Perfect k-colored matchings and k+2-gonal tilings, with O. Aichholzer, L. Andritsch, and B. Vogtenhuber. In Proc. 33rd European Workshop on Computational Geometry EuroCG '17, pages 81-84, Malmö, Sweden, 2017. link


• Dimer models and Grassmannian cluster categories, PAMM, Vol 16, Issue 1, DOI 10.1002/pamm.201610436 abstract
  
  

• 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.