“What Makes Neural Networks So Expressive, and What Could Make Them Smaller,” 12:10 on 9/16 in Holmes 116

Presented by
Thiago Serra

Department of Analytics and Operations Management

School of Management – Bucknell University

Thursday, September 16

Abstract: Neural networks have been successfully applied to complex predictive modeling tasks in areas such as computer vision and natural language processing. On the one hand, they have been shown to be a very powerful mathematical modeling tool.  On the other hand, we may still need an unreasonably large neural network in order to obtain a predictive model with good accuracy in many cases. How can we reconcile those two facts?

Pizza served at 11:40 in terrace Holmes 327.

“The Slice is Right”, 12:10 pm on 9/2 in Dana 113

Student Colloquium Talk by Professor Jen Berg.

Abstract: Have you ever wondered about ways to divide cake, chores, or rent among your friends fairly? There are many mathematical notions of fairness for you to consider! In this talk, we’ll explore an envy-free division, that is, one in which each person feels they received the best share. In particular, this means no person will want anyone else’s share more than their own. Better still, the approach we’ll discuss is algorithmic, or comes with a set of steps you can always follow, to help ensure you feel your slice is right! 

Pizza will be provided outside of Dana 113 at 11:40am, the talk will start at 12:10pm!

Mathy Art Contest

Bucknell’s 1st Mathy Art Contest. Mathematics and art go together like chips and salsa, Beyoncé and Jay-Z, and orange and blue. If you agree, enter this contest! If you disagree, let us prove you wrong!
• All forms of art welcome including drawing, painting, coloring, sculpture, origami, poetry, creative writing, and the performing arts.
• Only requirement: your submission has some mathematical element, anything from a simple pattern to an Escher-esque hyperbolic plane.
• All members of the broader Bucknell community are welcome to contribute, including local residents, children of Bucknellians, etc.
• Winners in various categories will be by popular vote of the community at a future event. Prizes: e+1 plus great acclaim.
• Deadline: Labor Day, September 6. Send your submissions to peter.mcnamara@bucknell.edu or drop off in Olin 380.

Poster: http://www.unix.bucknell.edu/~pm040/mathy-art-contest-poster.pdf

Welcome and Welcome Back Meet & Greet

Welcome and welcome back from the Mathematics Department to our majors and fellow math and stat enthusiasts!

Come say hello to Math. Dept. faculty & meet fellow students
Play outdoor games & pick up a welcome back pack

Tuesday, August 24
4:00-5:30
Olin Science Quad
(outside main doors of Olin)

Rain date Tues. Aug. 31, 4:00-5:30

Image of a hippo forming the hypotenuse of a right triangle with side label "hippopotenuse"

Student Panel: What did you do last summer? Nov. 12 @12:30 PM on Zoom

The Mathematics Department Virtual Student Colloquium Series will present talks by Bucknell Students Thursday, November 12 at 12:30 PM on Zoom! Students will discuss “What Did You do Last Summer?”

The panel will feature

  • Kaitlin Bonacci ’21 – technology consulting at Ernst & Young
  • Jack de la Parra ’22 – REU on sports analytics at Carnegie Mellon University
  • Claudia Shrefler ’21 – analytics internship at Geisinger
  • Callie Valenti ’21 – internship at Goldman Sachs as a global investment analyst
  • Sarah McDougall ’21 – REU on ”Data Science Across Disciplines” at Marquette University
and will be moderated by Brendan Matthys ’21.

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, to leadership development programs, and more! A panel of your peers will tell you their experiences. What did they enjoy? When did they apply? There will also be ample time for questions and answers. These varied opportunities, as well as being terrific fun, are also immensely valuable as you begin to think about your careers after Bucknell!

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

Video: https://mediaspace.bucknell.edu/media/1_77a53jhz (Bucknell login required)

Slides:

All the panelists shared their contact details for those with follow-up questions:

  • Kaitlin Bonacci: ktb005@bucknell.edu
  • Jack de la Parra: jodlp001@bucknell.edu Sludes
  • Sarah McDougall: snm009@bucknell.edu
  • Claudia Shrefler: cjs051@bucknell.edu
  • Callie Valenti: cgv004@bucknell.edu, 203-249-8095

“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