Ju

Victoria Hoskins

Junior Professor in algebraic geometry
and complex analysis

Funded by the DFG excellence initiative
Center for Research Strategy

Fachbereich Mathematik und Informatik
Freie Universität Berlin
Arnimallee 3, Raum 011
14195 Berlin, Germany

Tel: (+49) 30 838 75374
e-mail:

Ju

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 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

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