This is the seventh annual event of Number Theory Down Under, a meeting which promotes number theory in Australia. It brings together Australian and international number theorists to share ideas, pursue collaborative work and establish connections to other fields of mathematics.

This year NTDU-7 will span four days, from the 30th of September to the 3rd of October 2019 and will be hosted by the Number Theory Group at the University of New South Wales. We especially welcome colleagues from other areas who incur some problems of number theoretic flavour.

We hope that this year, as in all previous years, this meeting will lead to a fruitful exchange of ideas and initiate new developments and collaborations.

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