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Computational and Applied Mathematics Seminar: Shira Faigenbaum-Golovin, Duke University, Reconstruction, denoising, and studying the geometry of the base manifold in high-dimension space

SAS 4201

It is common to assume that the data was sampled from a low-dimensional manifold in a high-dimensional space. In real life, neither the dimension of this manifold nor its geometry is known, and the data is often contaminated with noise and outliers. In this talk, we first present a method for denoising and reconstructing a…

Geometry and Topology Seminar: Ruzica Mijic, Technical University of Vienna, An Introduction to Laguerre Geometry

SAS 1216

In traditional Euclidean geometry, points serve as the foundational elements for constructing and analyzing space. In contrast, Laguerre geometry, a non-Euclidean geometry, uses oriented circles (or hyperspheres, in the context of higher dimensions) and oriented lines (or hyperplanes), as fundamental objects. Here, a “point” is simply a circle with radius zero, i.e. having no special…

Teaching and Learning Seminar: Matthew Voigt, Clemson University, Engaging in Critical Transformation of Math Programs to Disrupt the System

SAS 4201

In this interactive seminar, we will examine how data (qualitative and quantitative) can be leveraged to interrogate, disrupt, and enact changes in introductory math programs. In particular, I will share insights from the ACT UP Math project, which is studying the role and impact of research-practice partnerships between mathematics education experts and mathematics department faculty…

Geometry and Topology Seminar: Marithania Silvero Casanova, Universidad de Sevilla, Positivity, fiberedness and link homology

Zoom

Khovanov homology is a link invariant which categorifies Jones polynomial. In this talk we present several results concerning Khovanov homology of fibered positive links; in particular, we extend the result by Stosic stating that braid positive links have vanishing Khovanov homology in homological grading 1. We also explore Khovanov homology of certain cable links and…

Computational and Applied Mathematics Seminar: Dimitris Giannakis, Dartmouth, Quantum Information Science for Modeling Classical Dynamics

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Over the past three decades, a fruitful approach for analysis and data-driven modeling of dynamical systems has been to consider the action of (nonlinear) dynamics in state space on linear spaces of observables. These methods leverage the linearity of the associated evolution operators, namely the Koopman and transfer operators, to carry out tasks such as…