M. Shea, "Split Two-Periodic Aztec Diamond," arXiv:2502.18349 (2025). (submitted)
M. Shea, "Dimer model on the square lattice with interface," arXiv:2202.04210 (2022).
M. Shea, "Generalized Gelfand-Yaglom formula for a discretized quantum mechanic system," J. Math. Phys. 62, (2021). https://doi.org/10.1063/5.0059030
Broadly I am interested in mathematic problems inspired by physics, in particular quantum and statistical mechanics, and I use methods from combinatorics, probability, and geometry to solve these problems. Of late, I have been studying the scaling limit of certain two-dimensional dimer models.