Research
I am interested in algebraic geometry and related fields. Recurring topics are abelian varieties, the geometry and arithmetic of irregular varieties and the study of singularities via perverse sheaves, D-modules and representation theory.
Papers and Preprints
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Arithmetic finiteness of very irregular varieties
(with M. Maculan). Preprint (2023).
[arXiv] -
The monodromy of families of subvarieties on abelian varieties
(with A. Javanpeykar, C. Lehn and M. Maculan). Preprint (2023).
[arXiv] -
Semicontinuity of Gauss maps and the Schottky problem (with G. Codogni).
Mathematische Annalen 382 (2022) 607-630.
[Journal] [arXiv] -
Characteristic cycles and the microlocal geometry of the Gauss map II.
Journal für die reine und angewandte Mathematik 774 (2021) 53-92.
[Journal] [arXiv] -
Characteristic cycles and the microlocal geometry of the Gauss map I.
Annales Scientifiques de l'École Normale Supérieure 55 (2022) 1475--1527.
[Journal] [arXiv] -
Summands of theta divisors on Jacobians.
Compositio Mathematica 156 (2020) 1457-1475.
[Journal] [arXiv] -
Characteristic classes and Hilbert-Poincaré series for perverse sheaves on abelian varieties.
Selecta Mathematica 22 (2016) 1337-1356.
[Journal] [arXiv] -
Cubic threefolds, Fano surfaces and the monodromy of the Gauss map.
Manuscripta Mathematica 149 (2016) 303-314.
[Journal] [arXiv] -
On the Tannaka group attached to the theta divisor of a generic principally polarized abelian variety
(with R. Weissauer).
Mathematische Zeitschrift 281 (2015) 723-745.
[Journal] [arXiv] -
On a family of surfaces of general type attached to abelian fourfolds and the Weyl group W(E_6).
International Mathematics Research Notices IMRN 24 (2015) 13062-13105.
[Journal] [arXiv] - Semisimple super Tannakian categories with a small tensor generator
(with R. Weissauer).
Pacific Journal of Mathematics 276 (2015) 229-248.
[Journal] [arXiv] -
Vanishing theorems for constructible sheaves on abelian varieties
(with R. Weissauer).
Journal of Algebraic Geometry 24 (2015) 531-568.
[Journal] [arXiv] -
Perverse sheaves on semiabelian varieties.
Rendiconti del Semininario Matematico della Università di Padova 132 (2014) 83-102.
[Journal] [arXiv]
Other Works
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Tannakian categories of perverse sheaves on abelian varieties.
PhD thesis, Universität Heidelberg (2013) [HeiDOK]