- Advisor: Yekaterina Epshteyn
- Well-balanced, positivity preserving schemes for shallow water models on unstructured grids. Difference Potentials Method for Parabolic Problems in domains with irregular and complex geometry.
- Advisors: Fernando Guevara Vasquez, Yekaterina Epshteyn
- Inverse problems for the Schroedinger equation with sparse measurements. Modeling of polycrystalline materials.
- Advisor: Andrej Cherkaev
- Compatibility conditions in periodic lattices
- Advisor: Ken Golden
- Sea ice.
- Advisor: Dongbin Xiu
- Multivariate approximation.
- Advisors: Christel Hohenegger, Ken Golden, Yekaterina Epshteyn
- Swimmers in low Reynold’s number fluid. Difference Potentials Method for Multi-physics Problems.