Publications and Preprints

  • Preprints

    • with David Ploogr: Exceptional sequences and spherical modules for the Auslander algebra of k[x]/(x^t) , arXiv:1709.03618
    • with Edward L. Green, Sibylle Schroll: Algebras and varieties, arXiv:1707.07877
    • with David Ploog: Tilting chains of negative curves on rational surfaces, arXiv:1703.09350
    • with Mark Blume: Quivers and moduli spaces of pointed curves of genus zero, arXiv:1512.07785
    • Tilting Modules over the Path Algebra of Type A, Polytopes, and Catalan Numbers, arXiv:1505.06011
    • Moduli of Representations, Quiver Grassmannians, and Hilbert Schemes, arXiv:1505.06008
    • with Jürgen Müller: On tensor products of path algebras of type A, arXiv:1206.1152
    • with Ragnar Buchweitz: Hochschild (Co-)Homology of Schemes with Tilting Object, arXiv:1003.4201, to appear in Transactions of the American Mathematical Society
    • with Karin Baur: On the complement of the dense orbit for a quiver of type $\Aa$, arXiv:1005.1919, to appear in Comm. Alg.
    • with Markus Perling: Tilting Bundles on Rational Surfaces and Quasi-Hereditary Algebras, arXiv:1110.5843, to appear in Annales de l'Institue Fourier
    • Aktionen algebraischer Gruppen, geometrische Quotienten und Köcher, Habilitationsschrift, Hamburg 2002
    • Moduli Spaces of Thin Sincere Representations, Preprint Chemnitz 1996

  • Publications

    • Consistent Algebras and Special Tilting Sequences, Mathematische Zeitshrift 220 (1995), 189 - 205.
    • Small Homogeneous Vector Bundles, Dissertation Bielefeld (1994).
    • Examples of Distinguished Tilting Sequences on Homogeneous Varieties, Representation Theory of Algebras, Seventh International Conference 1994, Cocoyoc, Mexico, CMS-AMS Conference Proceedings vol. 18.
    • Tilting Line Bundles and Moduli of Thin Sincere Representations of Quivers, An. St. Univ. Ovidius Constantza, vol. 4 (1996), f. 2, 55 - 61, pdf-file
    • Toric Quiver Varieties, Canadian Mathematical Society, Conference Proceedings, vol 24, 1998.
    • with Gerhard Röhrle: On Parabolic Subgroups of Classical Groups with a Finite Number of Orbits on the Unipotent Radical, C. R. Acad. Sci. Paris, t. 325, s. I (1997), 465 - 470.
    • Homogeneous Vector Bundles and Koszul Algebras, Math. Nachr. 191 (1998), 189 - 195.
    • Strong Exceptional Sequences Provided by Quivers, with Klaus Altmann (Berlin), Algebras and Representation Theory 2 (1999), 1 - 17
    • with Gerhard Röhrle: A Classification of Parabolic Subgroups of Classical Groups with a Finite Number of Orbits on the Unipotent Radical,  Transformation Groups, vol. 4, No. 1 (1999), 35 - 52.
      • pdf-file
    • with Thomas Brüstle: Finite, Tame and Wild Actions of Parabolic Subgroups in GL(V) on Certain Unipotent Subgroups, J. Algebra 226 (2000), 347 - 360.
    • with Thomas Brüstle, Claus Michael Ringel, and Gerhard Röhrle: The Delta-filtered Modules without Selfextension for the Auslander Algebra of k[t]/T^n, Algebras and Representation Theory 2 (1999), 295 - 312.
    • with Thomas Brüstle, Gerhard Röhrle, and Grzegorz Zwara: The Bruhat-Chevalley Order of Parabolic Group Actions in General Linear Groups and Degeneration for $\Delta$-filtered Modules, Adv. Math. 148, No. 2, (1999), 203 - 242.
      • pdf-file
    • with Thomas Brüstle: Matrices over Upper Triangular Bimodules and Delta-filtered Modules over Quasi-hereditary Algebras, Coll. Math. 83, No. 2 (2000), 295 - 303.
    • with Thomas Brüstle: Actions of Parabolic Subgroups in GL_n on Unipotent Normal Subgroups and Quasi-hereditary Algebras, Coll . Math. 83, No. 2 (2000), 281 - 294.
    • with Jose Antonio de la Pena: Distinghuished Slopes for Quiver Representations,   Bol. Soc. Mat. Mexicana (3) 7, No. 1 (2001), 73 - 83.
    • with Thomas Brüstle and Gerhard Röhrle: Finiteness for Parabolic Group Actions in Classical Groups, Arch. Math. (Basel) 76, No.2 (2001), 81 - 87.
    • with Jose Antonio de la Pena: Stable Representations of Quivers, J. Pure Appl. Algebra 172 (2002), no. 2-3, 205 - 224.
    • with Harald Skarke: Reflexive Polytopes in Dimension 2 and Certain Relations in $Sl_2(\Zz)$, J. Algebra Appl. 1 (2002), no. 2, 159 - 173.
    • Minimal Infinite Configurations for Strictly Filtered k[T]/T^n-modules and Parabolic Group Actions, in "Representations of Algebras", vol. II, Proceedings of ICRA IX, Beijing.
    • Quivers, Cones and Polytopes, Linear Algebra and its Applications365 (2003), 215 - 237.
    • with Gerhard Röhrle: Variation on a Theme of Richardson, Linear Algebra and its Applications 365 (2003), 239 - 246.
    • with Dieter Vossieck: The Quasi-hereditary Algebra Associated to the Radical Bimodule over a Hereditary Algebra, Colloq. Math. 98 (2003), no. 2, 201--211. 
    • Exceptional Sequences of Line Bundles on Toric Varieties,  Mathematisches Institut, Georg-August-Universität Göttingen: Seminars 2003/2004, 175--190, Universitätsdrucke Göttingen, Göttingen, 2004.
    • with Dieter Vossieck: Partial Flags and Parabolic Group Actions,  AMA Algebra Montp. Announc. 2004, Paper 1, 6 pp. (electronic).
    • Irreducible Components, Nilpotent Classes, and the Auslander Algebra of k[T]/T^n, Representations of algebras and related topics, 161--173, Fields Inst. Commun., 45, Amer. Math. Soc., Providence, RI, 2005.
    • On the Volume of a Tilting Module, Abh. Math. Sem. Univ. Hamburg 76 (2006), 261--277. pdf-file
    • with Markus Perling: A counterexample to King's conjecture. Compos. Math. 142 (2006), no. 6, 1507--1521, Preprint, math.AG/0602258.
    • with Michel Van den Bergh: Fourier-Mukai Transforms, math.AG/0402043, in "Handbook of Tilting Theory", edited by L. Angelieri-Huegel, D. Happel, H. Krause, LMS LNS 332.
    • with Simon M. Goodwin: Prehomogeneous Spaces for Borel Subgroups of General Linear Groups, Transform. Groups 12 (2007), no. 3, 475--498.
    • with Simon M. Goodwin, Gerhard Roehrle: The Orbit Structure of Dynkin Curves, Math. Z. 257 (2007), no. 2, 439--451.
    • with Simon M. Goodwin and Gerhard Röhrle: Orbits of parabolic subgroups on metabelian ideals,  Bull. Sci. Math. 133 (2009), no. 1, 82--91.  arXiv:0711.3711
    • with Karin Baur: On the complement of the Richardson orbit, Math. Z. 272 (2012), no. 1-2, 31–49.
    • with Markus Perling: Exceptional Sequences of Invertible Sheaves on Rational Surfaces, Compos. Math. 147 (2011), no. 4, 1230–1280.
    • Cluster-Cyclic Quivers with three Vertices and the Markov Equation, with A. Beineke und T. Bruestle and an appendix by Otto Kerner, Algebr. Represent. Theory 14 (2011), no. 1, 97–112.