Title: Computation of extension spaces in $kQ$-mod, for $kQ$ the path algebra of a quiver $Q$ of type $\tilde A(n-1,1)$, using planar curves. Abstract: The representation theory of quivers is important to the representation theory of associative algebras in general. If $Q$ is a quiver of affine type $\tilde A(n-1,1)$ and $k$ a fixed algebraically

Title:  Matrix weights, the convex-set valued maximal operator, and Rubio de Francia extrapolation part 3. Abstract:  In this series of talks, I want to talk about the theory of matrix weights:  its history and motivation, and some recent results by myself, Kabe Moen, and others.  The ultimate goal is to give an overview of my

Title:  Matrix weights, the convex-set valued maximal operator, and Rubio de Francia extrapolation part 4. Abstract:  In this series of talks, I want to talk about the theory of matrix weights:  its history and motivation, and some recent results by myself, Kabe Moen, and others.  The ultimate goal is to give an overview of my

Title:   Wavelet Representation of Smooth Calderón-Zygmund Operators Abstract:   We represent a bilinear Calderón-Zygmund operator at a given smoothness level as a finite sum of cancellative, complexity zero operators, involving smooth wavelet forms, and continuous paraproduct forms. This representation results in a sparse T(1)-type bound, which in turn yields directly new sharp weighted linear and mutlilinear

Title: Deep neural network and numerical analysis - adversarial attack on image and videos Abstract: Deep neural networks have achieved state-of-the-art performance in a variety of fields. The exponential growth of machine learning models and the extreme success of deep learning have seen application across a multitude of disciplines. Recent works observe that a class of