In 2012, Fyodorov, Hiary & Keating and Fyodorov & Keating
proposed a series of conjectures describing the statistics of large
values of zeta in short intervals of the critical line. In
particular, they relate these statistics to the ones of log...
Rank-one non-Hermitian deformations of tridiagonal
beta-Hermite Ensembles have been introduced by R. Kozhan several
years ago. For a fixed N and beta>0 the joint probability
density of N complex eigenvalues was shown to have a form of
a...
Large sieve inequalities are useful and flexible tools for
understanding families of L-functions. The quality of the
bound is one measure of our understanding of the corresponding
family. For instance, they may directly give rise to good
bounds...
I will survey recent progress on understanding the value
distribution of zeta and L-functions. In particular I will
discuss the problem of moments of the zeta function on the critical
line, and central values of L-functions, where the last
twenty...
On April 6, 1972 a young graduate student named Hugh Montgomery
and the world-renowned mathematical physicist Freeman Dyson had a
conversation in the tearoom at the Institute for Advanced Study
which led to a fusion of two disparate fields and an...
