Publications and Preprints

  1.   (with D. Labardini-Fragoso and J. Schröer) Generic Caldero-Chapoton functions with coefficients and applications to surface cluster algebras, 45pp., (July 2020)
  2.   (with D. Labardini-Fragoso and J. Schröer) Schemes of modules over gentle algebras and laminations of surfaces 68pp., (May 2020)
  3.   (with B. Leclerc and J. Schröer) Rigid modules and Schur roots (December 2018), Math. Z. 295 (2020), 1245-1277.
  4.   (with B. Leclerc and J. Schröer) Quantum cluster algebras and their specializations (July 2018), J. Algebra 558 (2020), 411-422.
  5.   Quivers with relations for symmetrizable Cartan matrices and algebraic Lie Theory, (March 2018), Proc. Int. Congr. of Math. 2018, Rio de Janeiro, Vol. 1, 99-124.
  6.   (with B. Leclerc and J. Schröer) Quivers with relations for symmetrizable Cartan matrices V: Caldero-Chapoton formula (April 2017), Proc. London Math. Soc. (3) 117 (2018), 125--248.
  7.   (with B. Leclerc and J. Schröer) Quivers with relations for symmetrizable Cartan matrices IV: Crystal graphs and semicanonical functions (February 2017), Selecta Math. (N.S.) 24 (2018), no. 4, 3283-3348.
  8.   (with B. Leclerc and J. Schröer) Quivers with relations for symmetrizable Cartan matrices III: Convolution algebras (November 2015), Represent. Theory 20 (2016), 375-413.
  9.   (with B. Leclerc and J. Schröer) Quivers with relations for symmetrizable Cartan matrices II: Change of symmetrizers (November 2015), IMRN Vol. 2018 no. 9, 2866-2898. (2017)
  10.   (with B. Leclerc and J. Schröer) Quivers with relations for symmetrizable Cartan matrices I: Foundations (October 2014), Invent. Math. 209 (2017), no. 1, 61-158.
  11.   (with D. Labardini-Fragoso and J. Schröer) The representation type of Jacobian algebras (August 2013), Adv. Math. 290 (2016), 394-452.
  12.   (with R. González-Silva) Tubular Jacobian Algebras (June 2013), Algebras and Rep. Theory 18 (2015), 161-181
  13.   (with S. Dominguez) A Caldero-Chapoton formula for generalized Cluster Categories (September 2012), J. Algebra 399 (2014), 887-893.
  14.   (with B. Leclerc and J. Schröer) Cluster algebras in algebraic Lie theory (August 2012) Invited survey; Transform. Groups 18 (2013), no. 1, 149-178
  15.  (with M. Barot and G. Jasso) Tubular Cluster Algebras II: Exponential growth (February 2012), J. Pure Appl. Algebra 217 (2013), no. 10, 1825-1837.
  16.  (with B. Leclerc and J. Schröer) Factorial cluster algebras (October 2011), Documenta Math. 18 (2013), 249-274.
  17.  (with B. Leclerc and J. Schröer) Cluster structures on quantum coordinate rings (April 2011), Selecta Math. 19 (2013), no. 2, 337-397.
  18.  (with B. Keller and S. Oppermann) n-angulated categories (June 2010), J. Reine Angew. Mathematik 675 (2013), 101-120.
  19.  (with B. Leclerc and J. Schröer) Generic bases for cluster algebras and the Chamber Ansatz (April 2010), J. Amer. Math. Soc. 25 (2012), 21-76.
  20.  (with B. Leclerc and J. Schröer) Kac-Moody groups and cluster algebras (February 2010), Adv. Math. 228 No.1 (2011), 329-433.
  21.  (with M. Barot) Tubular cluster algebras I: categorification (May 2009), Math. Z. 271 (2012), no. 3-4, 1091-1115
  22.  (with B. Leclerc and J. Schröer) Cluster algebra structures and semicanonical bases for unipotent groups (March 2007, April 2008).
  23.  (with B. Leclerc and J. Schröer) Preprojective algebras and cluster algebras (November 2007), Trends in representation theory of algebras and related topics, 253--283, EMS Ser. Congr. Rep., Eur. Math. Soc., Zürich, 2008.
  24.  (with B. Leclerc and J. Schröer) Partial flag varieties and preprojective algebras (september 2006), Ann. Inst. Fourier (Grenoble) 58 (2008), 825-876.
  25.   (with D. Avella Alaminos) Combinatorial derived invariants for gentle algebras (july 2006), J. Pure Appl. Alg. 212 (2008), 228-243.
  26.  (with B. Leclerc and J. Schröer) Semicanonical bases and preprojective algebras II: A multiplication formula (september 2005), Compositio Math. 143 (2007), 1313-1334.
  27.  (with B. Leclerc and J. Schröer) Auslander algebras and initial seeds for cluster algebras (june 2005), J. London Math. Soc. (2) 75 (2007), 718-740.
  28.  (with B. Leclerc and J. Schröer) Rigid modules over preprojective algebras (march 2005, september 2005), Inventiones Math. 165 (2006), 589-632.
  29.  (with M. Barot and A. Zelevinsky) Cluster algebras of finite type and positive symmetrizable matrices (november 2004), J. London Math. Soc. (2) 73 (2006), 545-564.
  30.  (with B. Leclerc and J. Schröer) Verma modules and preprojective algebras (november 2004), Nagoya Math. J. 182 (2006), 241-258 (Special Issue Celebrating the 60th Birthday of George Lusztig).
  31.  (with B. Leclerc and J. Schröer) Semicanonical bases and preprojective algebras (march 2004), Ann. Scient. Éc. Norm. Sup. 38 (2005), 193-253
  32.  (with I. Reiten) Gentle Algebras are Gorenstein  (august 2002), Representations of algebras and related topics, Fields Inst. Comm. 45 (2005) 129-133.
  33.   (with J. Schröer) Extension-orthogonal components of nilpotent varieties  (june 2002), Trans. Amer. Math. Soc. 357 (2005), no. 5, 1953--1962.
  34.   (with D. Voigt) Non-reduced automorphism schemes  (december 2001, december 2003), J. Pure Appl. Algebra 193 (2004), no. 1-3, 123--127.
  35.  (with J. Schröer) Varieties of modules over tubular algebras  (november 2001, updated april 2002, may 2002), Colloq. Math. 95 (2003), 163-183.
  36.   (with G.Bobinski and A. Skowronski) Classification of discrete derived categories  (may 2001). Central European J. Math. 2 (2004), 19-49.
  37. (with  W. Crawley-Boevey)  Horn's problem and semistability for representations of quivers , Representations of Algebras, Proceedings of the Ninth International Conference (Beijing 2000), 40-48, Beijing Normal University Press 2002.
  38.   Derived tame algebras and Euler-forms  with an   Appendix: On the derived subspace problem  in collaboration with  B. Keller  (may  2000, updated may 2001), Math. Z. 239 (2002), 829-862.
  39. (with H. Krause)  On the notion of derived tameness  (february 2000, revised may 2000, july 2000) J. Algebra and its Appl. 1 (2002), 133-158.
  40. (with D. Farkas and E. Marcos)  Smooth Automorphism Groupschemes,    Representations of Algebras (CRASP Sao Paolo 1999), 71-89, Lecture Notes in Pure and Appl. Math. 224, Dekker 2002.
  41.   Introduction to Moduli Spaces associated to Quivers  (updated june 29, 1999, november 2003, november 2005). Trends in Representation Theory of Algebras and Related Topics (Queretaro 2004), Contemp. Math. 406 (2006), 31-50. With an Appendix by Lieven Le Bruyn and Markus Reineke.
  42. (with D. Farkas, E. Green and E. Marcos)  Diagonalizable Derivations of Finite-Dimensional Algebras I ,  Israel  J. Math. 117 (2000), 157-181.
  43. (with J.A. de la Peña)  Auslander-Reiten components for clans,  Boll.  Soc. Mat. Mexicana (3) 5 (1999), 307-326.
  44.   Homomorphisms between representations of clans,  J. Algebra 218 (1999), 131-164
  45. (with P. Dräxler) A note on the $D_n$-pattern,  Geiranger 1996, CMS Conf. Proc. 24 (1998), 145-152.
  46. $ZA^{\infty}_{\infty}$ components for string-algebras, Comm. Algebra 26(3) (1998), 749-758.
  47. Degenerations of bimodule problems, Fund. Math. 150 (1996),  255-264.
  48. (with J.A. de la Peña) On the deformation theory of finite dimensional algebras, Manuscr. Math. 88 (1995),  191-208.
  49. Geometric methods in representation theory, Mexico 1994, CMS Conf. Proc. 19 (1996), 53-63.
  50. (with P. Dräxler) On the tameness of certain 2-point algebras,  Cocoyoc 1994, CMS Conf. Proc. 18 (1996), 189-199.
  51. On degenerations of tame and wild algebras, Arch. Math. 64 (1995),  11-16.
  52. Tame distributive 2-point algebras, Ottawa 1992, CMS Conf. Proc.14 (1993), 193-204.
  53. (with J.A. de la Peña) An interesting family of Algebras, Arch. Math. 60 (1993), 25-35.
  54. A decomposition theorem for tensor products with bimodules, Comm. Algebra 20(10) (1992), 2991-2998.
Last update: September 5, 2020.