Publications & Preprints

 Preprints

1. Semi-homogeneous vector bundles on abelian varieties: moduli spaces and their tropicalization (with A. Gross, M. Ulirsch and A. Werner).

2. Mumford Tate groups and the Hodge conjecture (with A. Dan).

Publications

1. Remark on a theorem of Oguiso (with A. Prendergast-Smith), Annali dell 'Universita' di Ferrara (2024)

2. Determinant morphism for singular varieties (with A. Dan),  Annali della Scuola Normale Superiore di Pisa, Classe di scienze (2024)

3. Hodge conjecture for the moduli space of semi-stable sheaves over a nodal curve (with A. Dan), Annali di Matematica Pura ed Applicata  (2022)

4. Generators of the cohomology ring, after Newstead (with S. Basu and A. Dan),   Proceedings of AMS  (2022)

5. Generalization of a conjecture of Mumford (with A. Dan),  Advances in Mathematics (2021)

6. On automorphisms of moduli spaces of parabolic vector bundles (with C. Araujo, T. Fassarella and A. Massarenti),  International Mathematics Research Notices (IMRN) (2021)

7. Néron models of intermediate Jacobians associated to moduli spaces (with A. Dan),  Revista Matemática Complutense (2020)

8. Degeneration of Intermediate Jacobians and the Torelli theorem (with S. Basu and A. Dan), Documenta Mathematica (2019)

9. Examples of varieties with index one on C1-fields (with A. Dan), Journal of Number Theory  (2019)

10. Existence of semistable vector bundles with fixed determinants,  Journal of Geometry and Physics (2019)

11. A pathological case of the C1 conjecture in mixed characteristic, Mathematical Proceedings of the Cambridge Philosophical Society (2018)

12. Semi-regular varieties and variational Hodge conjecture, (with A. Dan),  Comptes Rendus Mathématique (2016)

In Proceedings

1. Descent theory of simple sheaves on C1-fields (with A. Dan),  Proceedings of the ICM 2018 satellite 'Moduli spaces in Algebraic Geometry and Applications'  (2020)

2. Automorphisms of moduli spaces of semistable parabolic bundles on the projective line Oberwolfach Reports Volume 16, Issue 2, (2019)

3. Smoothness of moduli space of stable torsion-free sheaves with fixed determinant in mixed characteristic,   Analytic and Algebraic Geometry (2017)

Theses

PhD thesis:  The C_1 conjecture for the moduli space of stable vector bundles with fixed determinant on a smooth projective curve  (Freie Universitaet Berlin, defended November 2016)

Masters thesis: Decomposition theorems for groups acting on the Bruhat-Tits tree (Humboldt Universitaet zu Berlin, defended July 2012)