Future graduate student research opportunities: Faculty of Mathematics

The objective of this project is to develop robust scenarios for the deployment of a marine-based carbon dioxide removal (CDR) approach that accounts for the interaction between physical (climate and ocean), technical, and social factors. Current climate projections indicate that atmospheric carbon dioxide (CO2) concentrations will exceed levels consistent with the Paris Climate Agreement target of limiting temperature increase to 1.5 to 2 ℃ making carbon dioxide removal (CDR) from the atmosphere a crucial element of national climate responses. The key question facing decision-makers is not whether to undertake CDR but which methods of CDR should be pursued. 

Financial technology, or Fintech, is a new trend that revolutionized the financial industry. Automated trading programs have become the new standard. Many of the financial activities that have been traditionally done based on human skills and experience have recently been replaced or will be replaced by computer systems. In fact, banks and investment companies are hiring more staff with strong computing skills than ever. Fintech is a broad subject and this research project is going to focus on quantitative analytics, and in particular on developing efficient and effective models for applications in finance.

Our lab's research explores the intersection of computer graphics, computational physics, and geometry processing. We develop mathematical and algorithmic foundations for simulating complex physical phenomena, such as liquids, gases, and rigid or deformable materials, with efficiency, high fidelity, and robustness. By advancing computational methods for partial differential equations and dynamic surface evolution, we aim to make physically based animation both accurate and visually compelling.

We investigate a broad range of topics including multi-physics fluid-solid interactions, free-surface and multiphase flows, non-Newtonian and viscoelastic materials, and aspects of geometric representations, such as reconstruction of implicit surfaces (e.g., signed distance fields) and mesh-based topology tracking for dynamic surfaces. Our work bridges theory and practical application, often influencing research and production tools used in visual effects, animation, and interactive media. We strive to build well-grounded simulation methods that integrate physics, mathematics, and computation to push the boundaries of realism and control in the virtual worlds of the future.