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.
WS 2017/2018: Lineare Algebra I
SS 2017: Lineare Algebra II
WS 2016/2017: Lineare Algebra I
SS 2016: Analysis I
WS 2015/2016: Algebraic Geometry II/Algebra III: Moduli and geometric invariant theory
SS 2015: Complex analysis (Funktionentheorie).
WS 2017/2018: Seminar on derived categories and variation of GIT quotients
SS 2018: Seminar/Proseminar Darstellungstheorie symmetrischer Gruppen
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 S. Pepin Lehalleur) On the Voevodsky motive of the moduli stack of vector bundles on a curve, arXiv: 1711.11072.
(with G. Berczi and F. Kirwan) Stratifying quotient stacks and moduli spaces, arXiv: 1711.10215.
(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