BIREP – Representations of finite dimensional algebras at Bielefeld

• BIREP
• Faculty of Mathematics
• Bielefeld University

 

Julia Sauter

Faculty of Mathematics
Bielefeld University
Postfach 100 131
D-33501 Bielefeld

Office: V5-228
Phone: +49 521 106 67037
Office hours: Monday 14:00 - 15:00

Email: jsauter@math.uni-bielefeld.de

---

Welcome to my personal website. I’m working at the Bielefeld University , Germany, as a postdoc in the Bielefeld Representation Theory group (BIREP) . Here you find my CV.

---

Research interests

I am a geometric representation theorist, that is in the intersection between algebraic geometry and the representation theory of finite dimensional algebras. My specific interests are: Springer theory, quiver flag varieties, noncommutative resolutions of singularities, Hall algebras.

Publications and preprints

• Homological Theory of Exact Categories, habilitation thesis, Bielefeld University, submitted version April 2025: pdf. The individual chapters with a short description can be found here.
• Realization functors in algebraic triangulated categories, joint with Janina Letz, preprint 12/2024 in the arxiv
• Quasi-projective varieties are quiver Grassmannians for exact categories, joint with Alex Puetz, preprint 12/2024 in the arxiv
• Tilting theory in exact categories, preprint from 2022, in the arxiv
• Faithfully balancedness in functor categories, preprint from 2022, in the arxiv
• On the tilting complexes for the Auslander algebra of the truncated polynomial ring, preprint from 2019, in the arxiv
• Special tilting modules for algebras with positive dominant dimension joint with Matthew Pressland, Glasg. Math. J. 64 (2022), no 1, 79-105
• Combinatorics of faithfully balanced modules joint with William Crawley-Boevey, Biao Ma, Baptiste Rognerud, J. Combin. Theory Ser. A 182 (2021)
• On faithfully balanced modules, F-cotilting and F-Auslander algebras joint with Biao Ma, J. Algebra (2020), 1115-1164
• Quiver-graded Richardson orbits joint with Oegmundur Eiriksson, Comm. Algebra 47 (2019), No 10, 4304-4335
• On quiver Grassmannians and orbit closures for gen-finite modules, joint with Matthew Pressland, Proceedings of the 50th Symposium on Ring Theory and Representation Theory, 155-164 (2018).
• Cell decompositions of quiver flag varieties for nilpotent representations of the oriented cycle Algebr. Represent. Theory 20 (2017), No 6, 1323-1340 arXiv:1509.08026v1,
• On quiver Grassmannians and orbit closures for representation-finite algebras , joint with William Crawley-Boevey, Math. Z. 285 (2017), no 1-2, 367-395, arXiv:1509.03460v2
• Springer theory and the geometry of quiver flag varieties, PhD thesis, University of Leeds, Sep 2013. pdf
• From complete to partial flags in geometric extension algebras Glasg. Math. J. 60 (2018), no 1, 111-121, (former title Parabolic nil Hecke algebras and parabolic Steinberg algebras), arXiv:1307.0972v2
• Generalized quiver Hecke algebras, arXiv:1306.3892v2, July 2013
• A survey on Springer Theory , arXiv:1307.0973v3 , July 2013.
• Über Hodgezahlen von Vektorbündeln, die auf einer endlichen Überlagerung trivial werden, Diploma thesis, Essen 2007 (German) pdf

---

Teaching, Tutorials etc.

• Proseminar Catalan Numbers , SS 25, Bielefeld University
• Lecture on Elementare Zahlentheorie, SS24 , Bielefeld University.
• Proseminar Ebene Parkettierungen , SS 23, Bielefeld University
• Organization of the tutorials and giving a turial for Lineare Algebra 1 (here ), WS 22/23 Bielefeld University,
• Lecture Geometrie, SS22, Bielefeld University
• Tutorial to Ausgewählte Kapitel der Zahlentheorie , WS 21/22, Bielefeld University.
• Proseminar Kombinatorik , WS 21/22, Bielefeld University
• Lecture for teacher students: Ausgewählte Kapitel der Mathematik: Gruppen und Symmetrien , WS19/20, Bielefeld University
• Proseminar zu Algebraischen Kurven , SS19, Bielefeld University
• The Algebra Seminar (Seminar on Representation Theory) , SS19, Bielefeld University
• Lecture on Elementare Zahlentheorie , SS18 , Bielefeld University.
• Lecture on Toric Varieties (2 SWS), WS 17/18 , Bielefeld University.
• Tutorial for Algebra 1, WS 17/18 , Bielefeld University.
• Organiser of Proseminar Gruppenwirkungen , SS17 , Bielefeld University.
• Organiser of the additional exercise classes (Praesenzuebungen) for , SS17 , Bielefeld University.
• Tutorial to Ausgewählte Kapitel der Zahlentheorie , SS 16, Bielefeld University.
• Organization (joint with Andrew Hubery, Henning Krause, Philipp Lampe) of the Birep Seminar , WS 15/16, Bielefeld University
• Organization (joint with Oegmundur Eiriksson, Henning Krause) of the Seminar on Representation Theory , WS 15/16, Bielefeld University
• Tutorial for Lineare Algebra I, WS 15/16, Bielefeld University
• Tutorial for Algebra 2, SS 15, Bielefeld University
• Organization of the Seminar on Representation Theory , SS 15, Bielefeld University
• Lecture on Categories of Sheaves , WS 14/15, Bielefeld University
• Organization (joint with Henning Krause) of the Seminar on Representation Theory , WS 14/15, Bielefeld University
• Tutorial to Spezielle Aspekte der Mathematik: Zahlentheorie , SS 14, Bielefeld University.
• Basic tutorial (homework class of 5 courses for the first year), Leeds, Oct-Dec 2009, Tutorial for Algebra and Calculus , Leeds, March-June 2010
• Tutorial and Seminar Coxeter groups , Paderborn, SS08
• Marking Lineare Algebra , SS 06 in Essen and Marking Riemannian Surfaces, WS 06/07 in Essen.
• Tutorial for Lineare Algebra I or II, WS 02/03, SS 03, WS 04/05, SS 05 in Bielefeld and WS 08/09, SS 09 in Paderborn

---

Links

Some useful links.

• [FDlist] Mailing list and list of conferences related to the representation theory of finite-dimensional algebras.
• [Bill Crawley-Boevey's homepage] Bill Crawley-Boevey has a nice collection of lecture notes for beginners in the representation theory of finite dimensional algebras.
• [Claus Ringel's homepage] Claus Ringel's homepage contains a vast amount of material on lectures, research and games.

---