An elliptic curve $ E: y^2 + a_1 \, x \, y + a_3 \, y = x^3 + a_2 \, x^2 + a_1 \, x + a_6 $ is a cubic equation which has two curious properties: (1) the curve is nonsingular, so that we can draw tangent lines to every point $ P […]
CLAREMONT CENTER for the MATHEMATICAL SCIENCES Fall 2022 Poster Session Title Speaker(s) A New Basis for k-Local Class Functions Hannah Friedman A Quantile Deffuant-Weisbuch Model of Opinion Dynamics Julianna […]
The theory of compact linear operators between Banach spaces has a classical core and is familiar to many. Perhaps lesser known is the factorization of compact maps through a closed […]
The existence of a set $A\subset \N_0$ of positive upper Banach density such that $A-A:=\{m-n:m, n\in A, m>n\}$ does not contain a set of the form $S-S$ with $S$ a piecewise syndetic is in essence the content of a popular result due to K\v r\'{i}\v z in 1987. Since then at least four different proofs […]
Title: Continuity Versus Uniform Continuity Speaker: Gerald Beer, Department of Mathematics, California State University Abstract: In this talk we discuss the class of metric spaces - called the UC-spaces - whose members have […]
The first meeting of this semester's seminar in the history and philosophy of mathematics will take place on Monday, September 19th from 3 to 4 PM in Avery 202 on the Pitzer Campus (and on zoom). We will spend the time sharing ideas for future meetings and discussing the chapter on "Algebraic Logic" (chapter 9) in Lukas Verburgt's new book […]
Title: Computational Approaches to Optimization Problems in Inhomogeneous Rods and Plates Abstract: In this talk, we will show the experiments of the vibration of plates to generate Chladni's figures and […]
An arithmetical structure on a finite, connected graph G without loops is given by an assignment of positive integers to the vertices such that, at each vertex, the integer there is a divisor of the sum of the integers at adjacent vertices, counted with multiplicity if the graph is not simple. Alternatively, an arithmetical structure […]
Title: An introduction to algebraic statistics Speaker: Luis David Garcia Puente, Department of Mathematics and Computer Science, Colorado College Abstract: Algebraic statistics is an interdisciplinary field that uses tools from computational algebra, algebraic geometry, and combinatorics to address problems in statistics and its applications. A guiding principle in this field is that many statistical models of […]
Noncommutative metric geometry is the study of certain noncommuative algebras in the context of metric geometry. For instance, the Lipschitz constant (which measures the maximum slope obtained by a real-valued continuous function on a metric space (allowed to be infinite)) is a vital tool in metric geometry, and a main feature of noncommutative metric geometry […]
This talk discusses a puzzle called “Spinning Switches,” based on a problem popularized by Martin Gardner in his February 1979 column of “Mathematical Games". This puzzle can be generalized to a two-player game on a finite wreath products. This talk will provide a classification of several families of these generalized puzzles, including a full classification […]
Title: Between Yes and No: making decisions under uncertainty. Speaker: Ami Radunskaya, Department of Mathematics and Statistics, Pomona College Abstract: Often we attempt to answer a question with a “yes” or a “no” by developing predictive models (“Will the small remaining population of axolotls survive outside of their native wetlands?”) or by implementing binary classifiers (“Is this […]
