Suppose you are given a data set that can be viewed as a nonnegative integer-valued function defined on a finite set. A natural question to ask is whether the data can be viewed as a sample from the uniform distribution on the set, in which case you might want to apply some sort of test […]
The non-orientable 4-genus of a knot K is the smallest first Betti number of any non-orientable surface in the 4-ball spanning the knot. It is defined to be zero if the knot is slice. In joint work with Patrick Shanahan and Cornelia Van Cott, we attempt to determine the value of this invariant for double […]
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 […]
