Assistant Professor in geometry
Department of mathematics (IMAPP)
at the Radboud University Nijmegen
Publications and preprints
Moduli spaces and geometric invariant theory: old and new perspectives (arXiv:2302.14499)
(with P. Belmans, C. Damiolini, H. Franzen, S. Makarova and T. Tajakka) Projectivity and effective global generation of determinantal line bundles on quiver moduli (arXiv:2210.00033)
(with S. Pepin Lehalleur) Voevodsky motives of stacks of coherent sheaves on a curve (arXiv:2208.03204)
(with S. Pepin Lehalleur) Motivic mirror symmetry for Higgs bundles (arXiv:2205.15393)
(with J. Jackson) Quotients by parabolic groups and moduli spaces of unstable objects (arXiv:2111.07429)
(with L. Fu and S. Pepin Lehalleur) Motives of moduli spaces of bundles on curves via variation of stability and flips (arXiv: 2011.14872) to appear in the Journal of the London Mathematical Society.
(with L. Fu and S. Pepin Lehalleur) Motives of moduli spaces of rank 3 vector bundles and Higgs bundles on a curve, Electron. res. arch. (2022) 30 (1), 66--89.
(with S. Pepin Lehalleur) On the Voevodsky motive of the moduli space of Higgs bundles on a curve, Sel. Math. New Ser. (2021) 27 (1), 1--37.
(with S. Pepin Lehalleur) A formula for the Voevodsky motive of the moduli stack of vector bundles on a curve, Geom. Topol. (2021) 25 (7), 3555--3589.
(with S. Pepin Lehalleur) On the Voevodsky motive of the moduli stack of vector bundles on a curve, Quart. J. Math. (2021) 71 (1-2), 71--114.
(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.
Notes and videos from research talks
Motivic mirror symmetry for Higgs bundles (Notes) and Video (LAGOON webinar, November 2022)
Motives of moduli spaces of Higgs bundles (Seminar in Leiden, March 2022)
Motives of moduli spaces of bundles on curves (Notes) and Video (VBAC webinar, July 2021)
Motives of stacks of vector bundles on a curve and applications (Online seminar, Orsay, June 2021)