Sarah Scherotzke
I am a postdoc at the Hausdorff Center in Bonn. Beforehand I was a postdoc at Université Paris Diderot in the algebra group with Bernhard Keller.

I did my DPhil at the University of Oxford, under the supervision of Karin Erdmann.

My main interest at moment are Cluster Algebras and especially their categorifications which relates them to the representation theory of quantum groups,
to quiver varieties and to t-structures of triangulated categories.
Beforehand, I worked on Auslander-Reiten theory for algebras and derived categories, on support varieties for small quantum groups and classifications of Hopf algebras.

Photo
Address:  Université Paris Diderot - Paris 7
UFR de Mathématiques,
145 Rue du Chevaleret
75013 PARIS
Tel: +33  1 44 27 85 60
E-mail:
address

My CV is available here.

Papers, preprints:
  • Linear recurrence relations for cluster variables of affine quivers
    Advances in Mathematics 228 (2011) 1842-1862.
    This is joint with Bernhard Keller.

  • The integral Cluster Category
    To appear in International Mathematical Research Notices.
    This is joint with Bernhard Keller.

  • Rank Varieties for Hopf Algebras
    Journal of Pure Applied Algebra 215 (2011), no.5, 829 to 838.
    This is joint with Matthew Towers.

  • Finite and bounded Auslander-Reiten Components in the Derived Category
    Journal of Pure Applied Algebra 215 (2011), no.3, 232 to 241.

  • Euclidean components for a class of self-injective algebras
    Colloquium Mathematicum 115 (2009), no. 2, 219 to 245.

  • Classification of pointed rank one Hopf algebras
    Journal of Algebra 319 (2008) 2889 to 2912.


  • Formulas for primitive Idempotents in Frobenius Algebras and an Application to Decomposition maps
    Representation Theory 12 (2008), 170 to 185.
    This is joint with Max Neunhöffer.

  • Euclidean Auslander-Reiten components in the bounded derived Category

    DPhil Thesis: