Selberg’s celebrated central limit theorem shows that the
logarithm of the zeta function at a typical point on the critical
line behaves like a complex, centered Gaussian random variable with
variance $\log\log T$. This talk will present recent...
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...
Relative symplectic cohomology is a Floer theoretic invariant
associated with compact subsets K of a closed or geometrically
bounded symplectic manifold M. The motivation for studying it is
that it is often possible to reduce the study of global...
We revisit the lattice formulation of the Schwinger model using
the Kogut-Susskind Hamiltonian approach with staggered fermions.
This model, introduced by Banks et al., contains the mass
term mlat ∑n (−1)nχ†nχn, and setting it to zero is often...
Gromov-Witten invariants for a general target are
rational-valued but not necessarily integer-valued. This is due to
the contribution of curves with nontrivial automorphism groups. In
1997 Fukaya and Ono proposed a new method in symplectic
geometry...
