Research Interests: Probability theory and its applications; Interacting particle systems; Stochastic partial differential equations; Mathematical biology; Phylogenetic reconstruction
Research interests: Stochastic analysis and modeling for complex systems that arise in biology, ecology and other applied sciences. Examples of these systems include growing cancer tumors, viral infection spreads, cooperation and conflicts in ecosystems and randomly growing clusters.
My current work focus on:
- developing individual-based models which capture, at a more fundamental level, essential features of these complex systems,
- rigorously connecting these models with more macroscopic models, such as stochastic partial differential equations, which contain concise statistical information about the collective behavior of the systems, and
- integrating empirical data with these mathematical models when possible, in order to ensure that the models are developed on sound footing.
