Yue Yu

The Department of Mathematics at Purdue University is seeking two postdoctoral research associates in the research group of Professor Yue Yu . The positions sit at the interface of applied mathematics, scientific machine learning, and computational mechanics, and are supported through DARPA-funded projects in collaboration with partner institutions. One project focuses on digital twins for cardiovascular physiology . The postdoc will help develop a mechanism-preserving digital twin for hemorrhagic shock, using neural-operator-based reduced-order models, uncertainty quantification, and high-fidelity fluid-structure interaction simulations, with an emphasis on personalizing models with clinical and experimental data. The second project centers on operator learning for singular and nonlocal models . This work develops neural-operator-based discovery of singular transformations and operator-learning methods that infer singular and nonlocal operators from experimental and molecular dynamics data, with applications to material fracture, microstructured materials, and real-time digital twins. These positions are embedded in a research environment that combines mathematical theory, computational modeling, data-driven methods, and application-driven collaboration across disciplinary boundaries. The appointments are for one year initially and may be renewed subject to progress and funding.