I am interested in working with students in various areas of applied mathematics including partial differential equations (PDE), stochastic PDE, scientific computations, optimization problems, and numerical methods for mathematical model equations.

If you are interested in studying advanced (applied) math topics, 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.

#### **Independent Study Topics:**

- Austin Moore (math and applied physics major), Partial Differential Equations, Spring 2024
- Clark Saben (math and physics major), Partial Differential Equations, Spring 2024
- Catherine Nguyen (chemistry and math major), COVID-19 Application to SIRS, Spring 2024
- Catherine Nguyen (chemistry and math major), Analysis of a SIRS Model, Fall 2023
- Trevor Drinkwater (computer science major), A Numerical Study of Covid-19 II, Spring 2022
- Trevor Drinkwater (computer science major), A Numerical Study of Covid-19 I, Fall 2021
- Caitlin Holt (math major), Numerical Study on COVID-19 II, Fall 2021
- Caitlin Holt (math major), Numerical Study on COVID-19 I, Fall 2020
- Amy Creel (math major), Solutions of HIV-1 Infection Model II, Spring 2020
- Amy Creel (math major), Solutions of HIV-1 Infection Model I, Fall 2019
- Amy Creel (math major), Numerical Stochastic SIV Model, Spring 2019
- Emily MacIndoe (math and physics major), Analysis of Stochastic Models III, Spring 2019
- Amy Creel (math major), Monte Carlo Methods in Stochastic SIV Model, Fall 2018
- Emily MacIndoe (math and physics major), Analysis of Stochastic Models II, Fall 2018
- Emily MacIndoe (math and physics major), Analysis of Stochastic Models I, Spring 2018
- Rachelle Dambrose (math major), Implementing 3D Solvers for Poisson’s Equation, Spring 2017
- Rachelle Dambrose (math major), Algorithm for Solving Poisson’s Equation in 3D, Fall 2016
- Sophie Ritter (math major and business minor), Mathematical Model Solutions with Fourier Series, Spring 2016
- Casey Howren (math and sociology major), Computational Analysis of the SIR Epidemic Model, Spring 2014
- Patrick Stalcup (computer science and math major), Advanced Numerical Analysis, Spring 2014
- Casey Howren (math and sociology major),
*Mathematical Models of Epidemics*, fall 2013 - Morgan Brown (computer science and math major),
*Numerical Models to the Wave Equation*, spring 2013 - Kathryn Dillinger (math major),
*Honors Thesis on the Heat Equation*, spring 2013 - Casey Howren (math and sociology major),
*Math Model in Social Change*, spring 2013 - Peter Slattery (math major),
*Numerical Wave Equation II*, spring 2013 - Morgan Brown (computer science and math major),
*2D Wave Simulation,*fall 2012 - Andrew Cole (math and physics major),
*Two Dimensional Wave Equation,*fall 2012 - Kathryn Dillinger (math major),
*Honors Thesis on Computational Science*, fall 2012 - Peter Slattery (math major),
*Numerical Wave Equation I*, fall 2012 - Kathryn Dillinger (math major),
*Introduction to Computational Science*, spring 2012 - Rebecca Presor (economics and math major),
*Black-Scholes Option Pricing Model: Analysis, Approximations, and Applications II*, spring 2012 - Rebecca Presor (economics and math major),
*Black-Scholes Option Pricing Model: Analysis, Approximations, and Applications I*, fall 2011 - Teresa Yao (math major),
*Programming the Finite Element Method*, fall 2011 - Kathryn Christian (business and mathematics major),
*Polynomial Approximations of a Heat Conduction Model*, spring 2011 - Rebecca Presor (economics major),
*Numerical Methods in Finance and Economics*, spring 2011 - Erin Strange (mathematics major),
*Finite Difference Approximation to Chemical Pollutant Diffusion II*, spring 2011 - Teresa Yao (mathematics major),
*Understanding and Implementing the Finite Element Method II*, spring 2011 - Kathryn Christian (business and mathematics major),
*B-Spline Approximation*, fall 2010 - Erin Strange (mathematics major),
*Finite Difference Approximation to Chemical Pollutant Diffusion I*, fall 2010 - Teresa Yao (mathematics major),
*Understanding and Implementing the Finite Element Method I*, fall 2010 - Kathryn Christian (business and mathematics major),
*Numerical Linear Algebra*, spring 2010 - Elizabeth Bernat (math major),
*Numerical Methods for PDE*, fall 2009 - Brandi Rollins (physics major),
*3D Image Deconvolution Methods*, fall 2009 - Elizabeth Bernat (math major),
*Partial Differential Equations*, spring 2009