Past Events

We consider neural networks (NN) as discretizations of continuous dynamical systems. There are two relevant systems: the NN architecture on one side and the gradient flow for optimizing the parameters on the other. In both cases, stability properties...

There is now an expansive collection of mathematical work on building models for the transport of intracellular cargo by molecular motors. Commonly studied cargo undergo “saltatory” motion (bidirectional ballistic motion, intermixed with periods of...

This talk will first provide a (non-exhaustive) survey of explicit results on zero-free regions and zero densities of the Riemann zeta function and their relationship to error terms in the prime number theorem. This will be extended to Dirichlet L...

Conifold transitions are a mechanism in which a Calabi-Yau 3-fold is deformed into another by contracting curves and smoothing out the resulting conical singularities. Reid's Fantasy conjectures that all Calabi-Yau 3-folds can be linked by a sequence...

We are in the midst of an exciting revolution in quantum science and technology, comparable in ways to the first one that occurred about 100 years ago. One of the most tantalizing and potentially disruptive innovations to emerge from this second...

Varieties that fail to have rational points despite having local points for each prime are said to fail the Hasse principle. A systematic tool accounting for these failures uses the Brauer group to define an obstruction set known as the Brauer-Manin...

A set { a 1 , a 2 , … , a m } of distinct positive integers is a Diophantine m -tuple if the product of any two distinct elements in the set is one less than a square. In this talk, I will discuss some recent results related to Diophantine tuples and...

A sequence of tournaments is said to be quasirandom if it behaves as a sequence of random tournaments would. In 1991, Chung, Graham, and Wilson provided a list of equivalent properties that any sequence of random tournaments satisfies with high...

Talk Abstract The orthogonally projected shadows of a dispersed set in the plane carry much of the information about the shape of the set. The average size of the shadow, known as the Favard length, can be used to study density, structure...

In two independent papers, Aizenman and Fröhlich argued that every scaling limit of the critical Ising model in dimensions d > 4 is trivial (or Gaussian). This qualitative result can be reformulated as follows: the Schwinger functions of any...