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 is on arithmetic geometry as I apply geometric techniques to study questions in number theory. 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 counting of points of bounded height, but also effective techniques for points on curves and surfaces.
I am fascinated by the endless geometric techniques one can use to study some obvious and seemingly simple questions in number theory.
jlyczak (at) ist.ac.at
Am Campus 1
A – 3400 Klosterneuburg