Colloquium

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 […]

Title: Reading Topology from Open Books Speaker: Bahar Acu, Department of Mathematics, Pitzer College Abstract: How can we study topological shapes that are outside the realm of our imagination? In this talk, we will explore potential answers to that question by diving deep into dimensionality and topology via open books.  Topology is the study of properties of shapes that […]

Title: Wallis and Landen: A Tale of two integrals Speaker: Victor Moll, Department of Mathematics, Tulane University Abstract: Victor Moll Abstract   I was born in Santiago, Chile during the last millenium, on October 31st. My father was a doctor in a small town. I must have been bothering my family, so they put me […]

Title: Sequential: A Meditation on Recurrence Speaker: Ghassan Sarkis, Department of Mathematics, Pomona College Abstract: Though I will share some adventures in sequence-generating neural networks just for fun, the majority of this talk will be concerned with Fibonacci sequences modulo $p$ and $p^2$ from data-inflected and number-theoretic perspectives, including questions about periods of the modular […]