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Victoria Hoskins
Assistant Professor in geometry

Department of mathematics (IMAPP)
at the Radboud University Nijmegen

Publications and preprints

(with L. Fu and S. Pepin Lehalleur) Motives of moduli spaces of rank 3 vector bundles and Higgs bundles on a curve (arXiv:2102.07546)

(with L. Fu and S. Pepin Lehalleur) Motives of moduli spaces of bundles on curves via variation of stability and flips (arXiv: 2011.14872).

(with S. Pepin Lehalleur) On the Voevodsky motive of the moduli space of Higgs bundles on a curve, to appear in Selecta Mathematica (arXiv: 1910.04440).

(with S. Pepin Lehalleur) A formula for the Voevodsky motive of the moduli stack of vector bundles on a curve, to appear in Geometry and Topology (arXiv: 1809.02150).

(with S. Pepin Lehalleur) On the Voevodsky motive of the moduli stack of vector bundles on a curve, to appear in Quart. J. Math. (arXiv: 1711.11072).

(with F. Schaffhauser) Rational points of quiver moduli spaces, Ann. Inst. Fourier (2020) 70 (3), 1259--1305.

(with F. Schaffhauser) Group actions on quiver varieties and applications, Int. J. Math. (2019), 30 (2), 1950007 (46 pages).

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, J. Sympl. Geom. (2018) 16 (6) 1591--1638.

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, (2018) 5 (6), 650--685.

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.