I am interested in working with students on a research project in applied mathematics. Students would work closely with me on the project. This is a very attractive opportunity for you to consider and something very substantive to add to your resume.
In my project, you would consider first a mathematical equation that models natural phenomenon. Then you would try to analyze it mathematically and/or numerically so that you could make predictions about how the physical phenomenon will behave in various circumstances. In this project, you would learn a modeling process using given data and physical facts, learn how to solve a model problem using mathematical technique, learn the computer programming necessary to simulate the model problem, and eventually see how mathematicians analyze realworld problems. This is a great opportunity for you who may be interested in seeking employment at places like Dahlgren.
If this sounds interesting to you, please do not hesitate to contact me to discuss it further. If you know someone who might be interested in this, please let him or her know this.
Undergraduate Research Projects:

 Catherine Nguyen, Analytical and Numerical Analysis of the SIRS Model, Honors in Mathematics 2024
 Catherine Nguyen, Analytical Solutions to a SIRS Model, UMW Summer Science Institute 2023
 Tori Mueller, A Numerical Study of COVID19 (SIRS Model), UMW Summer Science Institute 2023
(Tori was the 2nd place winner for the poster presentation)
 Caitlin Holt, A Numerical Study of the SEIQR Model for COVID19, Honors in Mathematics 2021
 Trevor Drinkwater, Analytical and Numerical Analysis of the SEIRP Model for COVID19, UMW Summer Science Institute 2021
 Caitlin Holt, A Numerical Study of COVID19 using the SVIR Model, UMW Summer Science Institute 2021
 Amy Creel, The $latex T, T^*, V_I, V_{NI}$ Model for Human Immunodeficiency Virus Type 1 (HIV1) Dynamics, Honors in Mathematics 2020
 Makayla Ferrell, Analysis of the Deterministic SIV Model for HIV, UMW Summer Science Institute 2019
 Emily MacIndoe, Analysis of Deterministic and Stochastic HIV Models, Honors in Mathematics 2019
 Amy Creel, A Numerical Analysis of the SIV Model for HIV Infection, UMW Summer Science Institute 2018
 Emily MacIndoe, Analytical Solutions of the HIV Model, UMW Summer Science Institute 2018

Rachelle Dambrose,
Algorithms to Approximate Solutions of Poisson’s Equation in Two and Three Dimensions, Honors in Mathematics 2017
 Rachelle Dambrose, Numerical Approximations of Poisson’s Equation, UMW Summer Science Institute 2016 (Rachelle was the 1st place winner for the oral presentation)
 Aaron Thomas, Mathematical Solution to Poisson’s Equation, UMW Summer Science Institute 2016
 Casey Howren, The SIR Model for Evaluating the Impact of Epidemics on a Population, Honors in Mathematics 2014
 Casey Howren, The SIR Model for Evaluating the Impact of Epidemics on a Population, UMW Summer Science Institute 2013
 Morgan Brown, Numerical Approximations to the One and TwoDimensional Wave Equations, Honors in Mathematics 2013
 Kathryn Dillinger, Analysis of the Heat Equation with a Heat Source Term, Honors in Mathematics 2013
 Peter Slattery, Analytical Approaches to the Wave Equation, Honors in Mathematics 2013
 Morgan Brown, How to Win Every Time, UMW Summer Science Institute 2012
 Peter Slattery, Brave the Wave, UMW Summer Science Institute 2012
 Rebecca Presor, BlackScholes Option Pricing Model: Analysis, Approximations, and Applications, Honors in Mathematics 2012
 Teresa Yao, The Diffusion of a Chemical Pollutant Modeled by a Fourier Series, Honors in Mathematics 2012
 Kathryn Dillinger, Profiting with Options Using the BlackScholes Equation, UMW Summer Science Institute 2011
 Rebecca Presor, Mathematical Analysis of Option Pricing, UMW Summer Science Institute 2011
 Erin Strange, Computational Models of the Diffusion Equation, Honors in Mathematics 2011
 Kathryn Christian, Mathematical and Numerical Solutions for a Heat Conduction Model, Honors in Mathematics 2011
 Erin Strange, On Numerical Models of Chemical Pollutant Diffusion, UMW Summer Science Institute 2010
 Teresa Yao, Concentration of a Chemical Pollutant Modeled by a Fourier Series, UMW Summer Science Institute 2010
 Elizabeth Bernat, Analysis of Temperature Change Using a Mathematical Model, Honors in Mathematics 2010
 Kathryn Christian, An Exact Solution to Laplace’s Equation Inside a Rectangle, UMW Summer Science Institute 2009
 Elizabeth Bernat, Numerical Estimates of Temperature Changes Using the Finite Difference Method, UMW Summer Science Institute 2009
Undergraduate Publications:
 Amy Creel, Analytical Solution of the $latex T, T^*, V_I, V_{NI}$ Model for HIV1 Dynamics, SIAM Undergraduate Research Online Journal, Vol. 14, pp 567 – 584, 2021
 Emily MacIndoe, Analytical Solutions of the SusceptibleInfectedVirus (SIV) Model, SIAM Undergraduate Research Online Journal, Vol. 12, pp 154 – 166, 2019
 Ray Dambrose, Algorithms to Approximate Solutions of Poisson’s Equation in Three Dimensions, RoseHulman Undergraduate Mathematics Journal, Vol. 20, Iss. 1, Article 2, 2019
 Morgan M. Brown, Identifying a Coefficient Matrix for Numerical Approximations to the Wave Equation in Two Dimensions, RoseHulman Undergraduate Math Journal, Vol. 16, Issue 1, pp 152 – 166, 2015
 Kathryn E. Christian, Polynomial Approximations of Laplace’s equation, in preprint
 Erin L. Strange, On Numerical Models of the Diffusion Equation, in preprint
 Elizabeth M. Bernat, Analysis of Temperature Change Using a Mathematical Model, in preprint
Undergraduate Presentations:
 Catherine Nguyen, Analytical Solutions to a SIRS Model, at UMW Summer Science Institute 2023
 Tori Mueller, A Numerical Study of COVID19 (SIRS Model), at UMW Summer Science Institute 2023 (Tori was the 2nd place winner for the poster presentation)
 Caitlin Holt, A Numerical Study of the SEIQR Model for COVID19, at the Shenandoah Undergraduate Mathematics and Statistics Conference at James Madison University (virtual), December 4, 2021
 Trevor Drinkwater, Analytical and Numerical Analysis of the SEIRP Model for COVID19, at UMW Summer Science Institute 2021
 Caitlin Holt, A Numerical Study of COVID19 using the SVIR Model (poster presentation), at UMW Summer Science Institute 2021
 Amy Creel, Deterministic and Stochastic Models for HIV1 Dynamics (poster presentation) , at UMW Student Research and Creativity Symposium, April 2324, 2020
 Makayla Ferrell, Analysis of the Deterministic SIV Model for HIV (poster presentation), at UMW Summer Science Institute 2019
 Emily MacIndoe, Analysis of Deterministic and Stochastic HIV Models, at UMW Student Research and Creativity Symposium, April 26, 2019
 Amy Creel, A Numerical Analysis of the SIV Model for HIV Infection, at the Shenandoah Undergraduate Mathematics and Statistics Conference at James Madison University in Harrisonburg, VA, October 13, 2018
 Amy Creel, A Numerical Analysis of the SIV Model for HIV Infection (poster presentation), at UMW Summer Science Institute 2018
 Emily MacIndoe, Analytical Solutions of the HIV Model, at UMW Summer Science Institute 2018
 Rachelle Dambros, ThreeDimensional Approximations of Poisson’s Equation, at UMW Student Research and Creativity Symposium, April 28, 2017
 Rachelle Dambrose, Numerical Approximations of Poisson’s Equation, at the Shenandoah Undergraduate Mathematics and Statistics Conference at James Madison University in Harrisonburg, VA, September 24, 2016
 Aaron Thomas, Mathematical Solution to Poisson’s Equation, at the Shenandoah Undergraduate Mathematics and Statistics Conference at James Madison University in Harrisonburg, VA, September 24, 2016
 Rachelle Dambrose, Numerical Approximations of Poisson’s Equation, at UMW Summer Science Institute 2016 (Rachelle was the 1st place winner for the oral presentation)
 Casey Howren, A Numerical Analysis of the SIR Model for Modeling Epidemics, at the Joint Mathematics Meetings, Baltimore, MD, January 14, 2014
 Casey Howren, The SIR Model for Evaluating the Impact of Epidemics on a Population, at UMW Summer Science Institute 2013
 Morgan Brown, Numerical Approximations to the One and TwoDimensional Wave Equations, at UMW Student Research and Creativity Symposium, April 26, 2013
 Kathryn Dillinger, Analysis of the Heat Equation with a Heat Source Term, at UMW Student Research and Creativity Symposium, April 26, 2013
 Morgan Brown, How to Win Every Time, at the Shenandoah Undergraduate Mathematics and Statistics Conference at James Madison University in Harrisonburg, VA, September 29, 2012
 Peter Slattery, The Wave Equation in One Dimension (poster presentation), at the Shenandoah Undergraduate Mathematics and Statistics Conference at James Madison University in Harrisonburg, VA, September 29, 2012
 Morgan Brown, How to Win Every Time, at UMW Summer Science Institute 2012
 Peter Slattery, Brave the Wave (poster presentation), at UMW Summer Science Institute 2012
 Rebecca Presor, BlackScholes Option Pricing Model: Analysis, Approximations, and Applications, at UMW Student Research and Creativity Symposium, April 17, 2012
 Kathryn Dillinger and Rebecca Presor, BlackScholes Option Pricing Model: Analysis, Approximations, and Applications (poster presentation), at the Joint Mathematics Meetings, Boston, MA, January 6, 2012
 Kathryn Dillinger, Profiting with Options Using the BlackScholes Equation (poster presentation), at the Shenandoah Undergraduate Mathematics and Statistics Conference at James Madison University in Harrisonburg, VA, October 22, 2011 (Katie won second place for her poster at this conference)
 Rebecca Presor, BlackScholes Option Pricing Model: Analysis, Approximations, and Applications at the Shenandoah Undergraduate Mathematics and Statistics Conference at James Madison University in Harrisonburg, VA, October 22, 2011
 Kathryn Dillinger, Profiting with Options Using the BlackScholes Equation (poster presentation), at UMW Summer Science Institute 2011
 Rebecca Presor, Mathematical Analysis of Option Pricing, at UMW Summer Science Institute 2011
 Kathryn Christian, Mathematical and Numerical Solutions for a Heat Conduction Model, at UMW Student Research and Creativity Symposium, April 19, 2011
 Kathryn Christian, Mathematical and Numerical Solutions for a Heat Conduction Model, at the MDDCVA Section Meeting of the Mathematical Association of America at RandolphMacon College, April 16, 2011
 Erin Strange and Teresa Yao, Chemical Pollutant Diffusion Model: Analysis and Approximations (poster presentation), at the Joint Mathematics Meetings, New Orleans, LA, January 8, 2011
 Kathryn Christian, Polynomial Approximations of a Heat Conduction Model (poster presentation), at the Joint Mathematics Meetings, New Orleans, LA, January 8, 2011
 Erin Strange, On Numerical Models of Chemical Pollutant Diffusion (poster presentation), at the Shenandoah Undergraduate Mathematics and Statistics Conference at James Madison University in Harrisonburg, VA, October 23, 2010
 Teresa Yao, Concentration of a Chemical Pollutant Modeled by a Fourier Series, at the Shenandoah Undergraduate Mathematics and Statistics Conference at James Madison University in Harrisonburg, VA, October 23, 2010
 Erin Strange, On Numerical Models of Chemical Pollutant Diffusion (poster presentation), at UMW Summer Science Institute, July 2010
 Teresa Yao, Concentration of a Chemical Pollutant Modeled by a Fourier Series, at UMW Summer Science Institute, July 2010
 Elizabeth Bernat, Analysis of Temperature Change Using a Mathematical Model, at UMW Student Research and Creative Day, April 2010
 Kathryn Christian, Solution to Laplace’s Equation in Modeling Heat Conduction (poster presentation), at the Shenandoah Undergraduate Mathematics and Statistics Conference at James Madison University in Harrisonburg, VA, October 3, 2009
 Elizabeth Bernat, Numerical Estimates of Temperature Changes Using the Finite Difference Method, at the Shenandoah Undergraduate Mathematics and Statistics Conference at James Madison University in Harrisonburg, VA, October 3, 2009
 Elizabeth Bernat and Kathryn Christian, Laplace’s Equation: A Mathematical and Computational Analysis, at the Annual Meeting of the Mathematical Association of America in Portland, OR, August 6, 2009
 Kathryn Christian, An Exact Solution to Laplace’s Equation Inside a Rectangle (poster presentation), at UMW Summer Science Institute, July 2009
 Elizabeth Bernat, Numerical Estimates of Temperature Changes Using the Finite Difference Method, at UMW Summer Science Institute, July 2009