Research Interests

I am a PhD candidate in my fifth year at the University of Connecticut under the supervision of Dr. Xiaodong Yan. Research interests include applied and computational mathematics, partial and ordinary differential equations, the calculus of variations, numerical analysis, and materials modeling and simulation. Specifically, I am interested in PDE/ODE and variational problems motivated by problems in materials science, in particular liquid crystal theory for my dissertation work.

Papers

1. T. E. St. George and A.D.W., Orthonormalization of a subset of Bernstein polynomial basis functions, The PUMP Journal of Undergraduate Research 7 (2024), 258-273, DOI https://doi.org/10.46787/pump.v7i0.3765.

Manuscripts in Preparation

1. A.D.W. and Xiaodong Yan, Polar director structure of SmAP_F phase of bent-core liquid crystals in thin planar cells with bias electric field, manuscript submitted to Nonlinear Science, November 2025.

Talks

1. March 2024, Mathematics continued conference, The University of Connecticut.
2. October 2023, Geometric Analysis Student Seminar, The University of Connecticut.
3. March 2023, Geometric Analysis Student Seminar, The University of Connecticut.