Rational points and Brauer-Manin obstruction: adelic topology, weak and strong approximation
- Funded by the Alexander von Humboldt Foundation (2018-2020).
- Host of the Humboldt Research Fellow Y. Cao.
Geometric and Analytic Number Theory
- SNF-DFG project (2018-2020).
- Joint with V. Blomer, J. Brüdern (Universität Göttingen), E. Kowalski (ETH), P. Michel (EPFL).
- One postdoc position.
Symmetries of singular del Pezzo surfaces in algebraic and arithmetic geometry
- Grant in the DFG Priority Project SPP 1489 Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory (2013-2017).
- Joint with J. Hausen (Universität Tübingen).
- One PhD student position.
Counting points over number fields via universal torsors
- Funded by the Alexander von Humboldt Foundation (2012-2015).
- Host of the Humboldt Research Fellow C. Frei.
Rational points on algebraic varieties
- Grant of the DFG (German Research Foundation) (2011-2013).
- One postdoc position.
Torsore in der diophantischen Geometrie
- Senior Researcher in Residence at the Center for Advanced Studies (LMU) (2011-2012).
Arithmetic geometry and motives
- Grant of the SNF (Swiss National Sciences Foundation) (2010-2012).
- Joint with J. Ayoub (University of Zurich).
- My subproject includes one postdoc position (partly funding the Lectureship of P. Habegger 2010-2011; funding P. Bruin 2011-2012).
Rational curves on algebraic varieties
- Research Fellowship of the DFG (German Research Foundation) (2008-2009) to visit J. Kollár (Princeton University) and the program Algebraic Geometry (MSRI, Berkeley).
Universal torsors over del Pezzo surfaces and rational points
- Feodor Lynen Research Fellowship of the Alexander von Humboldt Foundation (2007-2008) to visit A. Kresch (University of Zurich).