Researches

Research Interests

I am interested in probability theory and its applications to physics and biology. My research focuses on stochastic PDEs, interacting particle systems, stochastic quantizations, stochastic modeling, Dirichlet forms.

Work in Progress

1. Evolutionary games with memory: the effect of dormancy on complex interactions, with José Chacón, Adrián González Casanova, Imanol Nuñez, and José Luis Pérez. (In preparation)
2. Scaling limit of spatial population genetic models on one dimensional spaces, with Adrián González Casanova. (In preparation)
3. Spatial modeling for virus infection with multiple stages, with Louis Fan and John Yin. (In preparation)
4. Universality of stochastic FKPP equation, with Louis Fan and Adrián González Casanova. (In preparation)

Publications and Preprints

1. (arXiv Link)Wick renormalized parabolic stochastic quantization equations on rough metric measure spaces, with Hongyi Chen.
2. Strong comparison principle for stochastic partial differential equations on metric measure spaces, with Louis Fan and Zhenyao Sun. Preprint, 2024. PDF
3. (Link) Patch formation driven by stochastic effects of interaction between viruses and defective interfering particles, with Qiantong Liang, Wai-Tong Louis Fan, and Wing-Cheong Lo. PLoS Computational Biology 19, no. 10 (2023): e1011513.
4. (Link) Constrained Langevin approximation for the Togashi-Kaneko model of autocatalytic reactions, with Wai-Tong Louis Fan and Chaojie Yuan. Mathematical Biosciences and Engineering 20, no. 3 (2023): 4322–4352.