Events and Activities

Abstract: There is a longstanding dream of realizing large-N Yang-Mills theory in D = 3,4 as a theory of confining strings. So far, our knowledge of this putative string is restricted to low energies, where one can use an effective field theory...

A few years ago, I was introduced to a surprising result of Payan stating that certain highly symmetric "cube-like" graphs cannot have chromatic number exactly $3$. (Specifically, his result applies to graphs on vertex set $(\mathbf{Z}/2\mathbf{Z})...

The Chebotarev density theorem is a powerful tool in number theory, in part because it guarantees the existence of primes whose Frobenius lies in a given conjugacy class in a fixed Galois extension of number fields.  However, for some applications...

Abstract: Neutron stars and black holes represent the inevitable endpoints of stellar evolution for high-mass stars. Despite the apparent fine-tuning of the physical conditions necessary to produce them, neutron stars are abundant in the Galaxy. On...

The study of descriptive set theory in the context of determinacy axioms began nearly 60 years ago. The context for this study is now understood to be the Axiom AD+, which is a refinement of the Axiom of Determinacy (AD).  The objects of this study...