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Papers and preprints.
Papers and preprints.
"t-Split Two Periodic Aztec Diamond," arXiv:2606.19507 (2026).
"Split Two-Periodic Aztec Diamond," Ann. Henri Poincaré (2026). https://doi.org/10.1007/s00023-026-01675-2 (arXiv: https://arxiv.org/abs/2502.18349)
"Dimer model on the square lattice with interface," arXiv:2202.04210 (2022).
"Generalized Gelfand-Yaglom formula for a discretized quantum mechanic system," J. Math. Phys. 62, (2021). https://doi.org/10.1063/5.0059030
Research interests.
Research interests.
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 two-dimensional dimer models.
Simulation of an Aztec diamond with two sets of two-periodic weights. Simulation created with the help of code by Sunil Chhita and Leo Petrov.
Simulation of the Aztec Diamond with two-periodic weight on one portion and uniform weights on the other. Simulation created with the help of code by Sunil Chhita and Leo Petrov.
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