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.
Teaching/Lehre
WS 2018: Algebra und Zahlentheorie
SS 2018: Lineare Algebra II
SS 2018: Seminar/Proseminar Representation theory of the symmetric group / Darstellungstheorie symmetrischer Gruppen
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).
Events and Seminars
SS 2018: Seminar/Proseminar Representation theory of the symmetric group / Darstellungstheorie symmetrischer Gruppen
WS 2017/2018: Seminar on derived categories and variation of GIT quotients
Workshop on Quotients, stability and invariants at the TSIMF Sanya, China 1821 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) A formula for the Voevodsky motive of the moduli stack of vector bundles on a curve, arXiv: 1809.02150.
(with S. Pepin Lehalleur) On the Voevodsky motive of the moduli stack of vector bundles on a curve, arXiv: 1711.11072.
(with F. Schaffhauser) Rational points of quiver moduli spaces, arXiv: 1704.08624.
(with F. Schaffhauser) Group actions on quiver varieties and applications, to appear in Int. J. Math. (arXiv: 1612.06593).
Parallels between moduli of quiver representations and vector bundles over curves, SIGMA, 14 (2018), 127, 46 pages.
(with G. Berczi and F. Kirwan) Stratifying quotient stacks and moduli spaces, Abel Symposia: Geometry of moduli}, 14 (2018), 134.
(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 3542.
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) 10111047
Stratifications of parameter spaces for complexes by cohomology types, J. Math. Soc. Japan (2015) 67 (1) 4368
(with F. Kirwan) Quotients of unstable subvarieties and moduli spaces of sheaves of fixed HarderNarasimhan type, Proc. London Math. Soc (2012) 105 (4) 852890
