Research

My research interests lie in applied mathematics and, particularly, applied and computational complex analysis. I am motivated by real-world problems to develop analytical and quasi-analytical techniques using complex variables to solve problems in fluid dynamics, micro- and nanofluidic applications, thermal contact resistance, plane elasticity, diffraction theory etc. During my PhD I developed a new transform method, based on the Unified Transform Method, for biharmonic boundary value problems in polygonal and circular domains. More recently, I have been working on the development of efficient numerical methods for solving scalar and matrix Wiener–Hopf problems, where mixed boundary conditions are involved by exploiting their links with Riemann–Hilbert problems.