Given votes for candidates, what is the best way to determine the winner of the election, if some of the votes have been corrupted or miscounted? As we saw in Florida in 2000, where a difference of 537 votes determined the president of the United States, the electoral college system does not seem to be […]
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 […]
Using elementary methods from differential equations and analysis we will consider the existence and multiplicity of solutions to semilinear partial differential equations with boundary conditions.
Title: PLSS: A Projected Linear Systems Solver (joint work with Michael Saunders) Abstract: Iteratively solving linear systems has proven to be useful for many large applications. Projection methods use sketching matrices (possibly randomized) to generate a sequence of small projected subproblems, but even the smaller systems can be costly. We develop a method in which […]
Discrete Calculus studies discrete structures, such as sequences and graphs, using techniques similar to those used in Calculus for continuous functions. The basic idea of generating functions is to associate a function with a sequence so that the coefficients of the power series expansion of the function represent the terms of the sequence. They provide […]
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 […]
Title: Modeling size distributions and collisions in cloud microphysics Abstract: Feedbacks between a warming atmosphere, emission of aerosols, and clouds and precipitation are one of the most difficult aspects for climate models to accurately capture. While these models operate at resolutions of tens or hundreds of kilometers, many of the physics that determine how and […]
It is elementary and well known that a nonzero polynomial in one variable of degree d with coefficients in a field F has at most d zeros in F. It is meaningful to ask similar questions for systems of several polynomials in several variables of a fixed degree, provided the base field F is finite. […]
Title: A Brief History of Calculating Machines Speaker: Yousef Daneshbod, Department of Mathematics, University of La Verne Abstract: Calculating machines are digital or analog devices designed to perform mathematical calculations. These machines have a long history, with the earliest known examples dating back to ancient times, when people used sticks and stones for counting. However, the […]
We prove, in this joint work with Maksym Radziwill, a 1978 conjecture of S. Patterson (conditional on the Generalized Riemann Hypothesis) concerning the bias of cubic Gauss sums. This explains a well-known numerical bias in the distribution of cubic Gauss sums first observed by Kummer in 1846. One important byproduct of our proof is that […]
In this panel we will have people from diverse backgrounds talking about their career pathways. The event will be fully online in the following link: https://cgu.zoom.us/j/89142368885?pwd=YkhkV24zbUZRV0p2d2xEelZtUmFmdz09Meeting ID: 891 4236 8885Passcode: 314159 We will have panelist's introductions at the beginning, and then the remaining time in breakout rooms so that our students and faculty can ask more […]
