Among the greatest of mathematicians is Leonhard Euler (1707-1783), whose insight, industry, and ingenuity are unsurpassed in the long history of mathematics. In this talk we sketch Euler’s life, describe the quantity and quality of his mathematical output, and discuss a few of his discoveries from the realms of number theory, geometry, analysis, and combinatorics. […]
The traditional year-opening social event for the Claremont Colleges Mathematics Community will be held in the Millikan Courtyard. Spouses, partners, and family are welcome. Professors Ali Nadim (CGU) and Blerta Shtylla (POM), co-chairs, hope to see everyone there for refreshments, and other pleasant pursuits.
The end of the previous century saw radical changes to three-dimensional topology, which arose from two completely different approaches. One breakthrough came from Bill Thurston's introduction of hyperbolic geometry into […]
CLAREMONT CENTER for MATHEMATICAL SCIENCES Fall 2018 Poster Session Click here for poster abstracts. Computing Eigenmodes of the Laplace-Beltrami Operator by Using Radial Basis Functions by Vladimir Delengov, Chiu-Yen Kao […]
New applications of scientific computing for solid and fluid mechanics problems include simulation of virtual materials in movie visual effects and virtual surgery. Both disciplines demand physically realistic dynamics for materials like […]
A normally functioning menstrual cycle requires significant crosstalk between hormones originating in ovarian and brain tissues. Reproductive hormone dysregulation may disrupt function and can lead to infertility, as occurs in […]
Abstract: In this talk, we first present some elementary new proofs (using Cayley digraphs and spectral graph theory) for Waring's problem over finite fields, and explain how in the process of re-proving these results, we obtain an original result that provides an analogue of Sarkozy's theorem in the finite field setting (showing that any subset […]
The mean of a random quantity is supposed to confirm our expectations. What happens when it defies them? We will look at a few famous expected values; some old, some new, all great.
I will begin by describing a number of important examples of isometric actions of circles in Euclidean space and their restrictions to subspaces of Euclidean space. The goal of the talk will be to see how isometric actions of circles and tori can be used to "recognize" the space on which they are acting.
Abstract: Bats in North America have been dying off due to the invasion of a fungal disease (White Nose Syndrome). In this talk, I'll present a very simple linear algebraic model to predict the magnitude of the die-offs. By comparing these models to some data about actual bat survival, my collaborator and I also hypothesized […]
Abstract: In 1960 Rudolph Kalman published what is arguably the first paper to develop a systematic, principled approach to the use of data to improve the predictive capability of mathematical models. As our ability to gather data grows at an enormous rate, the importance of this work continues to grow too. The lecture will describe this paper, and developments that […]
Growth regulation and pattern formation are two main problems in developmental biol- ogy. How cells know when to stop growing at certain tissue size with specic shape is an important question in both developmental biology and regenerative medicine, and it is still an unsolved mystery in many systems. During the growth, tissues and organs always […]
