I am a postdoctoral researcher in the Browning Group at the Institute for science and Technology Austria. Before I was a Ph.D. candidate at Leiden University under the supervision of dr. Martin Bright.|
My research focusses on questions in number theory which have an additional analytical or geometrical flavour. I am for example interested in local to global principles such as the Hasse principle and several forms of approximation to both rational and integral points, obstructions to these principles (the Brauer–Manin obstruction, to name one). The use of analytic number theory is most prominent in my work on the Manin conjecture and the Loughran–Smeets conjecture. I also have an interest in effective techniques for points on curves and surfaces.
I am fascinated by the endless analytical and geometric techniques one can use to study some obvious and seemingly simple questions in number theory.
jlyczak (at) ist.ac.at
Am Campus 1