2012 ~ 2013

Scholarships

• Benjamin Tuxbury - Dodson Scholarship
• Kelly M. Brown – Loughran Scholarship
• Darren Getts – Robertson Scholarship
• Joseph Nguyen – Talley Scholarship

2011 ~ 2012

Honors Theses*

• Hannah Baumgardner – The Gauss-Bonnet Theorem and its Applications on Manifolds (Chiang)
• Marianne Dubinsky – Methods for Solving the Basel Problem (Esunge)
• Alan Liddel – Generalized Functions of Schwartz Type (Collier)
• Catherin O’Doherty – Explorations of Stable Distributions (Esugne)
• Rebecca Presor – Black-Scholes Option Pricing Model: Analysis, Approximations, and Applications (Lee)
• Kelly Scott – Anti-Blocking Sets (Mellinger)
• Teresa Yao – The Diffusion of a Chemical Pollutant Modeled by a Fourier Series (Lee)
  *You can find a list of recent honors recipients here

Scholarships/Award

• Rima Amin – Dodson Scholarship
• Aaron Kalman – Loughran Scholarship
• Erin Burdwood – Robertson Scholarship
• Alan Liddell – Talley Scholarship
• Kelly Scott – Oscar Schultz Award

Joint Mathematics Meetings in Boston, MA (January 2012)

Paper Presentation

• Marianne Dubinsky – Revisiting the Basel Problem (Esunge)
• Catherine O’Doherty – Exploration of Stable Distribution (Esunge)

Poster Presentation

• Kathryn Dillinger and Rebecca Presor – Black-Scholes Option Pricing Model: Analysis, Approximations, and Applications (Lee)
• Ryan Vaughn – On the Contractibility of Finite coH-Space (Helmstutler)

MD-DC-VA Section Meeting of the Mathematical Association of America at Christopher Newport University (November 2011)

Paper Presentation

• Catherine O’Doherty – Explanation of the Matrix Exponential (Esunge)
• Ryan Vaughn – On the Contractibility of Finite coH-Spaces (Helmstutler)
• Kelly Scott – Anti-Blocking Sets (Mellinger)

Shenandoah Undergraduate Mathematics and Statistics Conference at James Madison University (October 22, 2011)

Paper Presentation

• Catherine O’Doherty – Linear Recursions and the Laplace Transform (Esunge)
• Rebecca Presor – Black-Scholes Option Pricing Model: Analysis, Approximations, and Applications (Lee)

Poster Presentation

• Kathryn Dillinger – Profiting with Options Using the Black-Scholes Equation (Lee)
  (Katie won second place for her poster presentation at the SUMS conference held at JMU.)

MathFest 2011 in Lexington, KY (August 2011)

Paper Presentation

• Marianne Dubinsky – Explorations of the Laplace Transform (Esunge)
• Catherine O’Doherty – Applications of the Laplace Transform (Esunge)

2010 ~ 2011

Scholarships

• Rima Amin – Dodson Scholarship
• Alan Liddell - Loughran Scholarship
• Erin Burdwood – Robertson Scholarship
• Karissa Herrick – Talley Scholarship

Honors Theses

• Kathryn Christian - Mathematical ana Numerical Solutions for a Heat Conduction Model (Lee)
• Kevin Doubleday – Application of Markov Chains to Stock Trends (Esunge)
• Geoff Driskell – A Comparison of Two Derivations of the Black-Scholes Option Pricing Model (Esunge)
• Kelsie Snyder – c-Dominating Sets for Families of Graphs (Mellinger)
• Andrew Snyder-Beattie - Dissecting Two Approaches to Energy Prices (Esunge)
• Erin Stange – Computational Models of the Diffusion Equation (Lee)

MD-DC-VA Section Meeting of the Mathematical Association of America at Randolph-Macon College (April 2011)

Paper Presentation

• Kathryn Christion – Mathematical and Numerical Solutions for a Heat Conduction Model (Lee)
• Kevin Doubleday – Application of Markov Chains to Stock Trends (Esunge)
  (Kevin was awarded “Best Student Presentation” at the meeting.)
• Geoffrey Driskell – A Comparison of Two Derivations of the Black-Scholes Option Pricing Model (Esunge)
• Kelsie Snyder – c-Dominating Sets for Families of Graphs (Mellinger)
• Andrew Snyder-Beattie – Dissecting Two Approaches to Energy Prices (Esunge)

Joint Mathematics Meetings in New Orleans, LA (January 2011)

Poster Presentation

• Kathryn Christian – Polynomial Approximations of a Heat Conduction Model (Lee)
• Andrew Snyder-Beattie – Mean Reversion Processes and Non-Competitive Markets: A Case Study of Oil Prices Since 1986 (Esunge)
• Erin Strange and Teresa Yao – Chemical Pollutant Diffusion Model: Analysis and Approximations (Lee)

Shenandoah Undergraduate Mathematics and Statistics Conference at James Madison University (October 23, 2010)

Paper Presentation

• Andrew Snyder-Beattie – The S&P 500, Reality vs. the Black Scholes Model (Esunge)
• Teresa Yao – Diffusion of a Chemical Pollutant Modeled by a Fourier Series (Lee)

Poster Presentation

• Erin Strange – On Numerical Models of Chemical Pollutant Diffusion (Lee)

MathFest 2010 in Pittsburgh, PA (August 2010)

Paper Presentation

• Andrew Snyder-Beattie and Kevin Groat – Geometric Brownian motion: A safe assumption? (Esunge)
  (They were awarded “Best Student Presentation” at MathFest.)

2009 ~ 2010

Scholarships

• Barbara Brown – Oscar Schultz Award

Honors Theses

• Sarah Ball – Evaluating Mean Willingness to Pay for the Success of the Blue Crab in the Chesapeake Bay (Hydorn)
• Elizabeth Bernat – Analysis of Temperature Change Using a Mathematical Model (Lee)
• Barbara Brown – Generalized Dihedral Groups of Small Order (Helmstutler)
• Katie Hunsburger – The Weight Enumerator for a Class of LDPC Codes Generated by Hyperovals (Mellinger)
• Thomas Wolfe - Statistical Analysis of Genetic Mutations in SMS Patients and Resulting Phenotypes (Hydorn)

Shenandoah Undergraduate Mathematics and Statistics Conference at James Madison University (October 3, 2009)

Paper Presentation

• Elizabeth Bernat – Numerical Estimates of Temperature Changes Using the Finite Difference Method (Lee)
• Barbara Brown – Generalized Dihedral Groups and Geometry (Helmstutler)

Poster Presentation

• Kathryn Christian – Solutions to Laplace’s Equation in Modeling Heat Conduction (Lee)

MathFest 2009 in Portland, OR (August 2009)

Paper Presentation

• Elizabeth Bernat and Kathryn Christian – Laplace’s Equation: A Mathematical and Computational Analysis (Lee)

2008 ~ 2009

Scholarships

• Thomas Wolfe – Loughran Scholarship
• Jonathan Stallings – Oscar Schultz Award
• Allison Hufford – Talley Scholarship
• Katie Hunsberger – Robertson Scholarship

Honors Theses

• William Ella – Retracts in Category Theory (Helmstutler)
• Christine Exley – Cryptography Based on Determining Sets (Mellinger)
• Jacob Farinholt – Designing Codes to Fit Your Needs: a closer look at BCH codes (Mellinger)
• Jonathan Stallings - Improved Covariance Eigenvalue Estimates and Line Estimation (Hydorn)
• Christopher Triola – Special Orthogonal Groups and Rotations (Helmstutler)

MD-DC-VA Section Meeting of the Mathematical Association of America at the University of Mary Washington (April 2009)

Paper Presentation

• William Ella – Retracts in Category Theory (Helmstutler)
• Jacob Farinholt – Designing Codes to Fit Your Needs: An Investigation Into the Construction of BCH Codes (Mellinger)
• Katie Hunsberger – The weight enumerator for a class of LDPC codes defined by hyperovals (Mellinger)
• Jonathan Stallings – Improved Covariance Eigenvalue Estimates and Line Estimation (Hydorn)

Joint Mathematics Meetings in Washington, DC (January 2009)

Paper Presentation

• William Ella

Poster Presentation

• Catherine Castleberry (Mellinger)
• Jacob Farinholt (Mellinger)
• Katie Hunsberger (Mellinger)
• Jonathan Stallings (Hydorn)
• Christopher Triola (Lehman)
• Thomas Wolfe (Hydorn)