Radu Toma: The sup-norm problem for newforms in higher rank

I'll present some new results on the sup-norm problem in the
level aspect for SL(n). The work stands in particular on the shoulders
of mathematicians at the Rényi Institute. The main novelties are in the
geometry of numbers, where we develop a general reduction theory with
level structure. Connected to it is an investigation of Atkin-Lehner
operators in higher rank. The fruit of the labour is the first
non-trivial bound in the level aspect for the size of newforms in
unbounded rank.