Previous Conferences & Workshops

How many arithmetic operations does it take to multiply two square matrices? This question has captured the imagination of computer scientists ever since Strassen showed in 1969 that \(O(n^{2.81})\) operations suffice. We survey the classical theory...

We discuss various Gaussian ensembles for real homogeneous polynomials in several variables and the question of the distribution of the topologies of the connected components of the zero sets of a typical such random real hypersurface. For the "real...

The celebrated Green-Tao theorem states that there are arbitrarily long arithmetic progressions in the primes. In this talk, I will explain the ideas of the proof and discuss our recent simplifications. One of the main ingredients in the proof is a...

An implicit atlas on a (moduli) space consists of certain auxiliary (moduli) spaces satisfying a precise set of axioms. We will summarize the construction of implicit atlases on moduli spaces of \(J\)-holomorphic curves, under the assumption of a...

I will review some aspects of many-body Anderson localization. Many-body localized systems have a type of integrable Hamiltonian, with an extensive set of operators that are localized in real-space that each commute with the Hamiltonian. The...

An Euler system is a family of cohomology classes that satisfy some compatibility condition under the corestriction map. Kato constructed an Euler system for a modular form over the cyclotomic extensions of \(\mathbb{Q}\). I will explain a recent...

We introduce a new family of robust semiparametric methods for analyzing large, complex, and noisy datasets. Our method is based on the transelliptical distribution family which assumes that the variables follow an elliptical distribution after a...

When a 2D many-particle system with a repulsive interaction is subject to a sufficiently strong magnetic field, that can also be produced by rapid rotation, strongly correlated many-body states in the lowest Landau level LLL may emerge. In the talk...

Projective planes satisfying certain symmetry conditions correspond to non-associative division algebras, by the work of Hilbert, Dickson, Albert, Wedderburn and Veblen. Knuth began the attempt to classify them over finite fields, and very few...