Title: A competent translation/a pitiful bungle: The Foundations of Geometry Abstract: David Hilbert’s Grundlagen der Geometrie is a rare example of a historical mathematics text that is still profitably read today and continues to inspire research in mathematics, computer science, and philosophy. The effort of publishing an English translation of Hilbert in 1902 involved a […]
This talk focuses on using a multiwavelet representation of the discontinuous Galerkin (DG) approximation for trouble cell indication. The multiwavelet representation is related to the jumps in the (derivatives of) the DG approximation. We then compare this indicator with other, more established indicators as well as machine learning approaches and demonstrate that it is possible […]
Title: Unsolved Mathematics at Burning Man Abstract: Rising 12 feet tall with an 18-foot wingspan, a 2-ton unfolding dodecahedron comes to life at Burning Man, the world’s most influential large-scale sculpture showcase. The artwork is illuminated by 16,000 LEDs, requiring 6500 build-hours and $50,000 in donated funds, with an interior large enough to hold 15 […]
Online social media networks have become extremely influential sources of news and information. Given the large audience and the ease of sharing content online, the content that spreads on online social networks can have important consequences on public opinion, policy, and voting. To better understand the online content spread, mathematical modeling of opinion dynamics is becoming […]
Title: Nonnegative Polynomials and Sums of Squares Abstract: Is x4-2x3+7x2-2x+1 nonnegative for any value of x? One way of showing that this holds is by writing x4-2x3+7x2-2x+1=1/2(x2-3x+1)2+1/2(x2+x+1)2. Studying the relationship between non-negativity and sums of squares has a distinguished history in mathematics starting with work of David Hilbert and Hilbert's 17th problem. I will discuss […]
Title: Injustice, Inequity, and Inequality: Lessons at the Intersection of Mathematics, Epidemiology, and Racism Registration information for this talk at: https://www.hmc.edu/mathematics/moody-lecture-series/ Abstract:The COVID-19 pandemic has exposed existing health inequities for communities of color in the United States. Racism is a known structural cause of these health inequities. Counterfactuals are essential to our understanding of causal […]
In this talk, we will talk about the thin film model derived for liquid film resulting from a distributed source on a vertical wall and some distinct properties about the model. We will discuss the different behavior and properties of the model with and without considering surface tension. When the surface tension is neglected, a […]
Title: Combinatorics and the Kitchen Sink Abstract: Numerical semigroups are simple combinatorial objects that lead to deep and subtle questions. We answer in one fell swoop virtually all asymptotic questions […]
Statistical solutions are time-parameterized probability measures on spaces of integrable functions, which have been proposed recently as a framework for global solutions for multi-dimensional hyperbolic systems of conservation laws. We […]
Title: Training dynamical systems to predict their input Abstract: Evolved systems seem to predict their environment. Even bacteria can implicitly predict future concentrations of scarce sugar or antibiotics, and emerging […]
In this talk, we will present a recent study of the Maxwell-Bloch equations that model the nonlinear interactions of light and matter, where the light is modeled classically by the […]
Title: Sea star locomotion Abstract: The oral surface of sea stars (starfish) is lined with arrays of tube feet that enable them to achieve highly controlled locomotion on various terrains […]
