“Not Linear? Not a Problem!” at 12:30 PM on 10/22 via Zoom

https://bucknell.zoom.us/j/95413936042
Student Colloquium Talk by Professor Sanjay Dharmavaram

Abstract: Ever wonder why  mathematics classes focus so much on linear problems? In Calculus we learn about linear approximations. In Differential Equations, after classifying differential equations as linear and nonlinear, we mostly focus on linear problems. Linear Algebra focuses exclusively on systems of linear equations. There are two reasons for this: 1) nonlinear problems are hard!! Unlike linear equations, there is no unified theory that works for all nonlinear equations. 2) linear approximations are often a good starting point to study nonlinear problems.

In this talk, we will make a foray into the marvelous world of nonlinear systems and discuss techniques under the umbrella of “Bifurcation Theory” to analyze them. Bifurcation theory is a branch of mathematics that investigates, albeit qualitatively, nonlinear equations containing a tunable parameter. Such equations routinely arise in biology, engineering, physical and social sciences. Some examples include models for understanding cardiac arrhythmia, synchronization of fireflies’ flashing, pattern formation in reaction-diffusion systems, and buckling of structures under mechanical loads. In this talk, we will also see how the tools of bifurcation theory can be used to analyze some of these problems.

Watch on Mediaspace: https://mediaspace.bucknell.edu/media/1_gzca3xpq

“Not a Normal Math Talk” at 12:30 on 10/1 via Zoom

https://bucknell.zoom.us/j/95413936042

Student Colloquium Talk by Professor Michael Reeks.

Abstract:

Anyone who has ever shoved a pair of headphones in their pocket knows about the following general principle of the universe:”Any flexible strand will tie itself in knots as soon as it’s given the opportunity.” As such, knots are ubiquitous in nature and art:

– DNA strands, so often pictured as tidy helices, actually spend most of their time hopelessly knotted;
– the way in which proteins interact and function depends heavily on the way they are folded, or knotted, together;
– and some of the oldest known art is based on complex patterns of knots.

Mathematicians, always ready to help out, have therefore tried to study and classify knots for decades. In this sadly pizza-less talk, I’ll introduce the mathematical theory of knots and knot invariants, which are tools that can help us tell knots apart. I’ll explain how some basic questions in knot theory tie into sophisticated topics of current research, and explain a few fascinating ways in which knots arise in chemistry, biology, physics, and art.

Flyer: https://tinyurl.com/y4fwvzjh

Video (Bucknell login required): https://mediaspace.bucknell.edu/channel/Mathematics%2BDepartment/184494973

“Archimedes’ Cattle Problem” at noon on Thursday 10/24 in Olin 268



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 age old question: “What did Archimedes know?”



Mathematics Alumni Career Panel at noon on Thursday 10/3 in Olin 268

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, Data Science & Provider Analytics, Evariant
  • Laura Papili ‘17, Forecast Analyst, Nielsen BASES

Moderated by Professor Linda Smolka, Mathematics

“Understanding Statistical Significance” at noon on Thursday 9/19 in Olin 268

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 that will be illustrated both by hands-on and online activities (so bring a laptop or tablet if you want to play along!).  This simulation-based approach will be both accessible to those who have never taken any statistics, and valuable to those who have taken statistics but want a deeper understanding or a more modern approach.

“An Orchestra without a Conductor: The Mathematics of Synchronizing Fireflies” at noon on Thursday 2/28 in Olin 268

Student Colloquium talk by Professor Matthew Mizuhara ’12 of The College of New Jersey

Title: An Orchestra without a Conductor: The Mathematics of Synchronizing Fireflies

Abstract: In Amphawa, Thailand trees are lined with thousands of fireflies spontaneously flashing in near perfect unison. However, there is no “leader” driving this coordination. The Kuramoto model, a non-linear system of differential equations, describes the firefly flashes. Using numerical simulations, we can capture this spontaneous emergence of synchronization and explore other, new patterns which can arise. No background in differential equations is required to enjoy this talk!

Sports, Statistics and Society

As part of Professor Flynt’s Foundation Seminar titled Sports, Statistics and Societygroups of first-year students acted as consultants, performing sports analytics for different Bucknell athletic teams.  Students worked with Baseball, Field Hockey, Men’s and Women’s Basketball, and Football.  Each coach developed a set of questions that they were interested in having the students analyze and gave students full access to their team data.   The group of students working with the football team worked very closely with Offensive Coordinator, Coach Bobby Acosta, spending time in the football coaching suite, looking at game video, and taking stats for the team up in the box at several practices.  Their analysis of practice data helped inform play calling for the offense in the last couple games of the season.  The project was featured in this segment during the TV broadcast of the final game versus Fordham on November 17th.