Senior Seminars

 

2019 - 2020

Tucker Johnson

Arya Uphoff

Probability and consequences of the Alabama paradox

The Collatz conjecture

 

2018 - 2019

Nathan Beneke

Denis Ostroushko

The complexity of finding graph isomorphisms

Analyzing a two-player zero-sum game

 

2017 - 2018

Logan Brion

Emily Schaeffer

Shenning Zhang

Conjugacy classes in groups

Pollard's p-1 and Pollard's rho

Prime Races

 

2016 - 2017

Austin Keller

Jinhyung Kim

Frobenius Coin Problem 

Riemann zeros

 

2014 - 2015

Emily Auch

Sae Sun Kim

Sean Stockholm

Bernoulli numbers and Faulhaber’s formula

Dessins d’enfants

Visualizing quadratic forms

 

2013 - 2014

Peter Ehlers

Zeyun Lin

Solutions to Schrodinger's equation for a trapezoidal well

Gauss sums as random walks

 

2011 - 2012

Jared Chang

Christine Hoffman

Thomas Mohr

Karl Schliep

Random polynomials

Finding Galois groups by maximal subgroup elimination

Convergence rate of Robinson's game theory algorithm

The hydrogen atom

 

2010 - 2011

Tony Bjorkland

Nate Christensen

Chad Seibert

Prime certification

Colossally abundant numbers

The quadratic sieve

 

2009 - 2010

Joy Heysse

Danielle Schatschneider

Melissa Helgeson

Yue Li

Aliquot sequences

Random power law graphs

ElGamal encryption

ESSes in random games

 

2008 - 2009

Kevin Scharber

Continued fractions

 

2007 - 2008

Nicole Gallagher

Jason Eckert

The game of Hex

The Mandelbrot set

 

2006 - 2007

Rachel Carlson

Zach Juhnke

Vibonacci numbers

The prisoner's dilemma

 

2004 - 2005

Lisa Holloway

Ben Peterson

Congruent numbers

A factoring algorithm

 

2003 - 2004

Eric Hansen

Susie Hanson

Stacy Nordgren

Amanda Quammen

Dan Wespetal

Colossally abundant numbers

Iterating x2+c

Game theory

Intertwining of eigenvalues

Approximating pi

 

2002 - 2003

Shawna Beaudry

Jessi Gurr

Joanie Lofgren

Pascal's triangle with entries from groups

The 3x+1 problem

The Fourier series of the Devil's staircase

 

2001 - 2002

Jeff Nelson

Jason Smith

Chad Ollestad

Chris Esterly

Hyung Kim

Stieltjes polynomials 

RSA Encryption

Eigenvalues of graphs

Random Graphs

Spanning trees and determinants

 

2000 - 2001

Greg Perry

GCD and factorization

 

1999 - 2000

Dominic Popowski

Error correcting codes