Title: Packing lines, minimizing energy, and applications to communications Speaker: Josiah Park, Department of Mathematics, Texas A&M University Abstract: Structured geometric point sets play important roles in coding theory, mathematical biology, computational chemistry, wireless communications, compressed sensing, and 'big data' applications due to their often desirable statistical properties for measurement and transmission. Best packings of […]

Title: Shape Optimization: Old and New Speaker: Edouard Oudet,  LJK, Université Grenoble Alpes Abstract: We first introduce what is shape Optimization and the most classical problems of the field like the isoperimetric problem, the study of minimal surfaces, the characterization of irrigation networks, etc. In a second step we focus on a more recent question related […]

Title: Decision Problems in Low-Dimensional Topology Speaker: Kate Petersen, Department of Mathematics and Statistics, CSU, University of Minnesota Duluth Abstract: Due to Perelman’s proof of the Geometrization conjecture every closed 3-manifold can be decomposed into geometric pieces. These pieces exhibit one of Thurston’s eight model geometries.  This gives rise to the natural question: Given a 3-manifold how (quickly) […]

Speaker: Jack Wesley, Department of Mathematics, UC Davis

Title: No-arbitrage Pricing in a Market for Position on a Multilane Freeway Speaker: Henry Schellhorn, Department of Mathematics, Claremont Graduate University Abstract:  We introduce a trading mechanism allowing cars to change position in a multilane congested freeway by doing peer-to-peer transactions. For the car initiating the operation, or incoming car, the goal can be to […]

Title: Building trustworthy data-driven epidemiological models: Application to the COVID-19 outbreak in New York City Speaker: Joan Ponce, Department of Mathematics, Arizona State University Abstract: Epidemiological models can provide the dynamic evolution of a pandemic but they are based on many assumptions and parameters that have to be adjusted over the time the pandemic lasts. […]

Title: The mathematics of neural networks: recent advances, thoughts, and the path forward Speaker: Prof. Mikhail Belkin, Department of Mathematics, University of California San Diego Abstract: The recent remarkable practical achievements of neural networks have far outpaced our theoretical understanding of their properties. Yet, it is hard to imagine that progress can continue indefinitely, without […]

Title: Quantum chromatic numbers of products of quantum graphs Speaker: Rolando De Santiago, Department of Mathematics, Purdue University Abstract: Quantum graphs are an operator space generalization of classical graphs that have emerged in different branches of mathematics including operator theory, non-commutative topology and quantum information theory. We provide a brief introduction to quantum graphs and […]

Title: Mathematical model for HIV-1 infection with stem cell and immune-therapy Speaker: Noufe Aljahdaly, Department of Mathematics, King Abdulaziz University / CGU Abstract: The AIDS is a chronic disease. Its most common treatment is the antiretroviral therapy (cART) and the virus can be more effected if the patients stop using cART. The other problem is […]

Title: Watch your step: Modeling on Time Scales Speaker: Raegan Higgins, Department of Mathematics & Statistics, Texas Tech University Abstract: Generally, differential and difference equations are used in the mathematical modeling of physical systems. Our modeling approach uses dynamic equations on time scales. A time scale T is an arbitrary, nonempty, closed subset of the […]

Title: Sometimes Pi Equals 4 Speaker: Cornelia van Cott, Department of Mathematics, University of San Francisco Abstract: Most of your mathematical life, you've known that pi is a number somewhere between 3.1 and 3.2. But if we exchange the usual notion of distance in two-dimensional space for others, pi can be any of an infinite number […]

Title: How Many Cards Can Avoid a SET? Speaker: Mohamed Omar, Department of Mathematics, Harvey Mudd College Abstract: SET is a popular real-time card game where players search for special triples of cards among a table of cards that are face-up. A common issue when playing the game is not having a SET among theface-up cards. What is […]