### Recent Submissions

• #### Flow and mixing in complex porous media ﻿

The flow and mixing of fluids in complex porous media is important in a large range of environmental settings, from groundwater flows to the geological storage of carbon dioxide (CO$_2$). This thesis investigates two ...
• #### A Riemann-Hilbert Approach to the Kissing Polynomials ﻿

Motivated by the numerical treatment of highly oscillatory integrals, this thesis studies a family of polynomials known as the Kissing Polynomials through Riemann-Hilbert techniques. The Kissing Polynomials are a family ...
• #### On the Dynamics of Noncircular Accretion Discs ﻿

The classical picture of an accretion disc is of a geometrically thin, nearly axisymmetric, fluid flow undergoing supersonic circular motion and slowly accreting due to angular momentum transport by the disc turbulence. ...
• #### Mathematical Challenges in Electron Microscopy ﻿

(2020-11-27)
Development of electron microscopes first started nearly 100 years ago and they are now a mature imaging modality with many applications and vast potential for the future. The principal feature of electron microscopes is ...