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