Project membership
Mathematics Münster


A: Arithmetic and Groups

A1: Arithmetic, geometry and representations
E-Mailscherotz at uni-muenster dot de
Telefon+49 251 83-33722
FAX
Zimmer406
Sekretariat   Sekretariat Dierkes
Frau Gabi Dierkes
Telefon +49 251 83-33730
Fax +49 251 83-32720
Zimmer 414

Homepagehttps://www.uni-muenster.de/Arithm/scherotzke/index.html
AdresseProf. Dr. Sarah Scherotzke
Mathematisches Institut
Fachbereich Mathematik und Informatik der Universität Münster
Einsteinstrasse 62
48149 Münster
Deutschland
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Recently, I started to work in the field of derived algebraic geometry and will take part in the MSRI program in derived algebraic geometry.

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

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.

Publications and preprints

  1. The categorified Grothendieck-Riemann-Roch theorem This is joint with Marc Hoyois, Pavel Safronov and Nicolo Sibilla.
  2. Additive invariants of logarithmic schemes This is joint with Nicolo Sibilla and Mattia Talpo.
  3. On a logarithmic version of the derived McKay correspondence Compositio. This is joint with Nicolo Sibilla and Mattia Talpo.
  4. Higher traces, noncommutative motives, and the categorified Chern character Advances in Mathematics. This is joint with Marc Hoyois and Nicolo Sibilla.
  5. Kato-Nakayama spaces, infinite root stacks, and the profinite homotopy type of log schemes Geometry and Topology. This is joint with David Carchedi, Nicolo Sibilla and Mattia Talpo.
  6. Quiver varieties and Hall algebras London Math. Soc. (2016) 112 (6), 1002-1018. This is joint with Nicolo Sibilla.
  7. Derived loop stacks and categorification of orbifold products To appear in Journal of non-commutative Geometry. This is joint with Nicolo Sibilla.
  8. Desingularisation of quiver Grassmannians via Nakajima categories Algebras and Representation theory.
  9. Generalized quiver varieties and triangulated categories to appear in Mathematische Zeitschriften.
  10. Component Cluster for acyclic quiver Colloquium Mathematicum 144 (2016), 245-264.
  11. The nonequivariant coherent-constructible correspondence and tilting Selecta Mathematica (NS) (2016), Vol.22, Issue 1,38--416. This is joint with Nicolo Sibilla.
  12. Desingularizations of quiver Grassmannians via graded quiver varieties Advances in Mathematics 256 (2014) 318-347. This is joint with Bernhard Keller.
  13. Graded quiver varieties and derived categories J. reine angew. Math.(Crelles Journal) 2016 (713). This is joint with Bernhard Keller.
  14. Linear recurrence relations for cluster variables of affine quivers Advances in Mathematics 228 (2011) 1842-1862. This is joint with Bernhard Keller.
  15. The integral Cluster Category Int Math Res Notices Vol. 2012, No.12, 2867-2887. This is joint with Bernhard Keller.
  16. Rank Varieties for Hopf Algebras Journal of Pure Applied Algebra 215 (2011), no.5, 829 to 838. This is joint with Matthew Towers .
  17. Finite and bounded Auslander-Reiten Components in the Derived Category Journal of Pure Applied Algebra 215 (2011), no.3, 232-241.
  18. Euclidean components for a class of self-injective algebras Colloquium Mathematicum 115 (2009), no. 2, 219 to 245.
  19. Classification of pointed rank one Hopf algebras Journal of Algebra 319 (2008) 2889 to 2912.
  20. 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.
  21. Euclidean Auslander-Reiten components in the bounded derived Category