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

NEWS In 2020 I will be joining the Radboud University Nijmegen.

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, motives of moduli spaces.

Teaching/Lehre

WS 2019: Seminar/Proseminar Representation theory of the symmetric group / Darstellungstheorie symmetrischer Gruppen

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 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 space of Higgs bundles on a curve, arXiv: 1910.04440.

(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, to appear in Ann. Inst. Fourier (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), 1--34.

(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, Algebraic Geometry, 5 (6) (2018) 650--685 (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