Research Interests (algebraic and symplectic geometry): moduli of sheaves and moduli of quivers, geometric invariant theory, moment maps and symplectic reduction, hyperkähler manifolds and gauge theory.
Winter Semester 2017/2018: Lineare Algebra I
Summer Semester 2017: Lineare Algebra II
Winter Semester 2016/2017: Lineare Algebra I
Summer Semester 2016: Analysis I
Winter Semester 2015/2016: Algebraic Geometry II/Algebra III: Moduli and geometric invariant theory
Summer Semester 2015: Complex analysis (Funktionentheorie).
Winter Semester 2017/2018: Seminar on derived categories and variation of GIT quotients
Workshop on Quotients, stability and invariants at the TSIMF Sanya, China 18-21 December 2017
Previous events and seminars
Talk notes and expository material
Link to notes from previous talks and expository material
Publications and Preprints
(with F. Schaffhauser) Rational points of quiver moduli spaces, arXiv: 1704.08624.
(with F. Schaffhauser) Group actions on quiver varieties and applications, arXiv: 1612.06593.
(with B. Doran) Algebraic symplectic analogues of additive quotients, to appear in J. Sympl. Geom. (arxiv: 1512.07513).
An example of algebraic symplectic reduction for the additive group, in New Trends in Analysis and Interdisciplinary Applications (2017), Trends in Mathematics Research Perspectives, Birkhauser 35--42.
Stratifications for moduli of sheaves and moduli of quiver representations, to appear in Algebraic Geometry (arXiv: 1407.4057).
Stratifications associated to reductive group actions on affine spaces, Q. J. Math. (2014) 65 (3) 1011--1047
Stratifications of parameter spaces for complexes by cohomology types, J. Math. Soc. Japan (2015) 67 (1) 43--68
(with F. Kirwan) Quotients of unstable subvarieties and moduli spaces of sheaves of fixed Harder-Narasimhan type, Proc. London Math. Soc (2012) 105 (4) 852--890