Student Colloquium talk by Professor Chris Johnson, Bucknell University Abstract: The Prussian city of Königsberg once contained four land masses connected by a series of bridges, and citizens of the city would sometimes ponder the following simple puzzle: is it possible to walk through the city crossing each bridge exactly once? In analyzing this question, Leonhard Euler noted that the most important feature was how the bridges connected the land masses to one another. Understanding “connectedness” is one part of a branch of mathematics called topology, and in this talk I will give an overview of a few particular topological […]
The Mathematics Department Student Colloquium Series will present talks by Bucknell Students this Thursday, November 7 at 12:00 PM in Olin 268. Moderator will be Hannah Bokma ’20 where students will discuss “What Did You do Last Summer?” Speakers: Hannah Bokma ’20 – teaching intern, Breakthrough HoustonElise Covert ’20 – data analytics, American Institute for ResearchMady Lawrence ’21 – data analytics, Highmark HealthPhil Thompson ’20 – financial sales and business development intern, IHS Market Abstract: There are many exciting summer opportunities for students in the mathematical sciences! These range from internships in financial companies to research experiences at other universities […]
Student Colloquium talk by Professor Krishnan (Ravi) Shankar, University of Oklahoma Title: Archimedes’ Cattle Problem Abstract: Back in antiquity Archimedes devised a mathematical problem in the form of 22 elegiac couplets and delivered them to Eratosthenes of Cyrene (as a challenge of sorts). The problem is in three parts of increasing difficulty and the solution is rather astonishing, both for its complexity and for the problem’s ability to anticipate mathematics that didn’t come about for 2000 years (Pell’s equation). We will explore the problem and its solution (which was only completely solved in 1889 by Amthor) and ask ourselves the […]
Hear advice and perspectives from Bucknell alumni who will examine career paths that utilize the mathematics degree while discussing their work and available opportunities. The conversation will include a question and answer period and an opportunity to meet (and network with!) the alumni panelists. Pizza and calzones will be provided. This event is sponsored by the Mathematics Department and the Center for Career Advancement. Panelists: Allison Gibson ‘13, Consultant, Boston Consulting Group; MBA Graduate 2019, Kellogg School of Management, Northwestern University Rachel Guen ‘19, Associate Analyst, Moody’s Investors Service Zach Moon, ASA ‘16, Actuarial Advisor, Cigna Jin On ’12, Manager, […]
Student Colloquium talk by Professor Kari Lock Morgan, Penn State University Title: Understanding Statistical Significance Abstract: You may or may not have heard of results being “statistically significant,” and you may or may not know that results qualify as statistically significant if the p-value falls below a given threshold. Regardless of whether these phrases currently hold any meaning for you, the goal of this talk will be to shed light on the actual meaning of a p-value and statistical significance (beyond just “p < 0.05”). This will be accomplished by covering a modern and computationally intensive way of computing a p-value […]
Student Colloquium talk by Professor J.T. Fry, Bucknell University Title: Interacting with the Shadow of Data Abstract: In our first statistics class, we learn how to build a scatterplot to visualize two variables at once. But what happens when we have many variables? Projection methods such as Principal Component Analysis (PCA) can create 2D pictures of higher-dimensional data, much like how the sun projects our 3D body into a 2D shadow. However, exploring these high-dimensional datasets can be complicated. In this talk, we present a visual analytics model that allows the user to combine their personal knowledge with a projection method to find novel […]
Student Colloquium talk by Professor Patrick McDonald, New College of Florida Title: Problems and Pipelines: A story from the frontline of data science Abstract: Suppose you were to suddenly obtain access to a remarkably rich data source, say, a trove of health records. What would you do? In this talk I will sketch how a group at New College handled such a situation. In so doing I will provide you with a glimpse of what it is like to work on a large-scale data science project, paying special attention to the vast array of required skill sets, social constraints and behavior […]
Student Colloquium talk by Professor Daniel Visscher, Ithaca College Title: The Dynamics of Continued Fractions Abstract: While only rational numbers have a fraction representation, all real numbers have a continued fraction representation. Continued fractions illuminate interesting structure in real numbers, for example, by giving a way to express how close a real number is to being rational. In this talk, we investigate continued fractions from the point of view of a dynamicist, framing the topic in terms of iterating a function and asking questions about how orbits distribute. Multiple flavors of π will be present, and the golden ratio will make approximately 1.618 appearances.
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