Previous Conferences & Workshops
The arithmetic of noncongruence subgroups of $\mathrm{SL}(2,\mathbb Z)$
William Chen
4:30pm|Fine 214, Princeton University
After beginning by giving a brief overview of how one can think
of noncongruence modular curves as moduli spaces of elliptic curves
with G-structures, we will discuss how these moduli interpretations
fits into the greater body of knowledge...
Phase transitions and symmetry breaking
In broad terms, a phase transition is a variation in the
qualitative behavior of a system under changes of some parameter.
For instance, as the temperature is changed, water goes through a
gaseous, a liquid, and several solid phases, each of which...
The Sachdev-Ye-Kitaev quantum mechanics model, black holes, and random matrices
Logarithmic Gromov-Witten invariants
Logarithmic Gromov-Witten invariants generalize usual and
relative Gromov-Witten invariants and were first suggested by
Siebert and then recently introduced by Gross-Siebert and
Abramovich-Chen. Applications include more general
degeneration...
Jacob Fox
We describe a simple yet surprisingly powerful probabilistic
technique that shows how to find, in a dense graph, a large subset
of vertices in which all (or almost all) small subsets have many
common neighbors. Recently, this technique has had...
Arithmetic regularity, removal, and progressions
Jacob Fox
A celebrated theorem of Roth from 1953 shows that every dense
set of integers contains a three-term arithmetic progression. This
has been the starting point for the development of an enormous
amount of beautiful mathematics. In this talk, I will...