Office Location: | 029B Physics Bldg |

Office Phone: | (919)-660-2828 |

Email Address: |

**Typical Courses Taught:**

- MATH 41,
*ONE VARIABLE CALCULUS*Synopsis - MATH 107,
*LINEAR ALGEBRA & DIFF EQUATION*Synopsis - MATH 108,
*ORD & PRTL DIFF EQUATIONS*Synopsis - MATH 32L,
*LABORATORY CALCULUS II*Synopsis - Math 31L,
*LABORATORY CALCULUS I*

**Office Hours:**- TBD

**Education:**PhD in Mathematics Duke University 2006 M.A. in Mathematics Duke University 2001 B.A. in Mathematics Occidental College 2000

**Specialties:**- Applied Math

**Research Interests:***Numerical Analysis, Partial Differential Equations, Multigrid, Stochastic Differential Equations and Parallel Computing*I am studying a three-dimensional system of reaction-diffusion equations with stochastic source terms that arises from an immunology model. I have shown convergence of a first order splitting method for this system. This allows us to take advantage of known numerical methods for the diffusion, reaction and stochastic differential equations. In particular, I have implemented a parallel multigrid scheme for the diffusion.

I am currently working with Dr. William K. Allard in the Mathematics department and Dr. Thomas B. Kepler in the Center for Computational Immunology.

**Keywords:**Numerical Analysis • Partial Differential Equations • Multigrid • Stochastic Differential Equations • Parallel Computing

**Recent Publications**- T.A. Lucas,
*Operator Splitting for an Immunology Model Using Reaction-Diffusion Equations with Stochastic Source Terms*(Submitted, Fall, 2007) (Submitted.) [abs] [author's comments] - F. Mitha, T.A. Lucas, F. Feng, T.B. Kepler and C. Chan,
*The multiscale systems immunology project: Software forcell-based immunological simulation*, Source Code for Biology and Medicine (Submitted, Fall, 2007) (Submitted.) [abs]

- T.A. Lucas,

**Selected Talks***Numerical Methods for an Immunology Model Using*, January 7, 2008, AMS Session on Applications of Mathematics, San Diego, CA*Numerical Solutions of an Immunology Model Using Reaction-Diffusion Equations with Stochastic Source Terms*, November 8, 2007, Virginia Commonwealth University

**Selected Grant Support***A Fast Method for the Numerical Simulation of an Immunology Model*, National Science Foundation, 0811159 (Submitted).