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I am a postdoctoral researcher in Number Theory at the University of Bath. Previously I was 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 the application of algebraic geometry 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, and geometric obstructions to these principles. I have a particular interest in varieties given by multiple quadratic equations, in particular del Pezzo surface of degree 4, and the main geometric obstruction that features in my work is the Brauer–Manin obstruction. I also use analytic number theory in my research, which 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 geometric and analytical techniques one can use to study some obvious and seemingly simple questions in number theory. |
Contact: Julian Lyczak jl4212 (at) bath.ac.uk University of Bath Office: 6W 1.03 |