Nicolas Templier
Institute for Advanced Study
Scientific, Seminar
Math Colloquium: Statistics of quadratic congruences and generalizations
We present the uniform distribution of roots of quadratic congruences on the unit circle. Several proofs have been rediscovered over the years. I will review some of the very different methods involved -- ergodic theory, exponential sums, automorphic...
Scientific, Seminar
Number Theory Seminar: On the sup-norm of Maass forms of large level
We discuss the question of quantitative bounds on the sup-norm of automorphic cusp forms. We present an improvement on a recent result by Blomer-Holowinski on Hecke-Maass forms on $X_0(N)$ with large level $N$. Analogous results are then established...