General

I am a principal research fellow at Universiteit Antwerpen. Previously I have been a postdoctoral research associate in Number Theory at the University of Bath, and in the Browning Group at the Institute for science and Technology Austria. I obtained my Ph.D. 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
julian.lyczak@uantwerpen.be
Office: M.G.227

Writings

Scientific articles: Theses: Here you can find a list of errata of the following notes: Other people's scientific articles with a (minor) contribution from me: Miscellaneous: The "Vakidioot" is the monthly magazine of A-Eskwadraat, the study association for mathematics in Utrecht. "Euclides" is a magazine for high school mathematics teachers. "Pythagoras" is a two-monthly magazine for high school students.

Code

Talks

Upcoming invitations: Spring 2023 Fall 2022 Spring 2022 Autumn 2021 Spring 2021 Autumn 2020 Spring 2020 Autumn 2019 Spring 2019: Spring 2018 Autumn 2017 Spring 2017 Spring 2016 Spring 2015 Older talks (at the University of Utrecht)

Seminars, conferences, research visits, etc.

Upcoming Ongoing: Autumn 2023 Spring 2023 Autumn 2022 Continuous seminars and colloquia at IST Austria and Austria I attended Spring 2022 Autumn 2021 Spring 2021 Autumn 2020 Spring 2020 Autumn 2019 Spring 2019 Continuous seminars and colloquia at Leiden and in The Netherlands I attended Autumn 2018 Autumn 2018 Spring 2018 Autumn 2017 Spring 2017 Autumn 2016 Spring 2016 Autumn 2015 Spring 2015 Older seminars (at the University of Utrecht)

Teaching

Autumn 2023 Spring 2021 Spring 2018 Autumn 2017 Spring 2017 Autumn 2016 Spring 2016 Autumn 2015 Spring 2015

Miscellaneous

A list of links to some of my personal interests: