During my PhD I am mainly interested in applications of the circle method to Diophantine equations. The simplicity of the questions fascinates me as much as the beauty of the methods behind them. Currently I am working on problems related to the theorem of Freiman-Scourfield concerning diagonal Diophantine equations with different exponents.
Previously, I gained a broad mathematical background during my Master, studying Functional Analysis, as well as Complex Analysis and Number Theory. The title of my Master's thesis is "Stability of the squeezing function on a sequence of bounded domains", describing the behaviour of a biholomorphic invariant with respect to a certain limit process applied to the domains.
Generally I am interested in a lot of topics in the field of Complex Analysis, Number Theory and Functional Analysis, especially the more analytic part.
This is illustrating a proof idea from my Master's thesis. Ask me about it if you like!