Sarah Scherotzke

Endenicher Allee 60
53115 Bonn
E-mail: sarah@etc

Since October 2011, I am a Postdoc at the Hausdorff Center for Mathematics of the University of Bonn.

I am a member of the working group of Professor Jan Schröer which is part of the Algebra and Representation Theory group.

From 2009 to 2011, I was a postdoc of la fondation des sciences mathématiques at Université Paris Diderot working with Professor Bernhard Keller.

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

Recently, I worked on the geometry of quiver varieties and their use in categorifying representations of quantum groups and cluster algebras.

Furthermore, I started to work in the field of derived algebraic geometry.

I am also interested in triangulated categories, their t-structures and stability conditions.

My thesis was on Auslander-Reiten theory for algebras and derived categories, on support varieties for small quantum groups and classifications of Hopf algebras.

Research Interests

  • Cluster algebras and their categorifications
  • Representation theory of finite-dimensional algebras
  • Triangulated Categories and Differential Graded Categories
  • Quiver Varieties

Publications and preprints

  1. On a logarithmic version of the derived McKay correspondence
    This is joint with Nicolo Sibilla and Mattia Talpo.

  2. Higher traces, noncommutative motives, and the categorified Chern character
    To appear in Advances in Mathematics. This is joint with Marc Hoyois and Nicolo Sibilla.

  3. Kato-Nakayama spaces, infinite root stacks, and the profinite homotopy type of log schemes
    To appear in Geometry and Topology. This is joint with David Carchedi, Nicolo Sibilla and Mattia Talpo.

  4. Quiver varieties and Hall algebras
    London Math. Soc. (2016) 112 (6), 1002-1018. This is joint with Nicolo Sibilla.

  5. Derived loop stacks and categorification of orbifold products
    This is joint with Nicolo Sibilla.

  6. Desingularisation of quiver Grassmannians via Nakajima categories
    To appear in Algebras and Representation theory.

  7. Quiver varieties and self-injective algebras

  8. Component Cluster for acyclic quiver
    Colloquium Mathematicum 144 (2016), 245-264.

  9. The nonequivariant coherent-constructible correspondence and tilting
    Selecta Mathematica (NS) (2016), Vol.22, Issue 1,38--416. This is joint with Nicolo Sibilla.

  10. Desingularizations of quiver Grassmannians via graded quiver varieties
    Advances in Mathematics 256 (2014) 318-347. This is joint with Bernhard Keller.

  11. Graded quiver varieties and derived categories
    J. reine angew. Math.(Crelles Journal) 2016 (713). This is joint with Bernhard Keller.

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

  13. The integral Cluster Category
    Int Math Res Notices Vol. 2012, No.12, 2867-2887.
    This is joint with Bernhard Keller.

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

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

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

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

  18. 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.

  19. Euclidean Auslander-Reiten components in the bounded derived Category