Lecturer

Email: gurpreet.singh@tudublin.ie

I received my PhD degree in 2018, entitled "A Qualitative Study of Elliptic Partial Differential Equations motivated by Real Life Phenomena", from the University College Dublin. In 2018, after finishing my PhD I received an Irish Research Council Postdoctoral Fellowship (a two-year programme) and started working as a postdoctoral researcher at the Trinity College Dublin. During my Postdoctoral Programme in TCD, I assisted in supervising the designing of the overall framework of undergraduate modules and delivering lectures/tutorials. Then I joined the School of Mechanical Engineering, Dublin City University as a Teaching Assistant in 2020 and became the Assistant Professor of Mathematics at the School of Mathematical Sciences, Dublin City University in 2021 (2021-2023). I joined School of Mathematics and Statistics, TU Dublin as an Assistant Lecturer in 2023.

My research area is nonlinear partial differential equations and mainly focuses on variational methods, an important tool to solve nonlinear PDEs, and such methods are being extensively used to tackle problems in data science. My research also focuses on different forms of differential operators of elliptic type such as standard Laplace operator, quasilinear operators and nonlocal operators. The problems involving these kinds of operators arise in many real life phenomena such as in chemical reactions, astrophysics, pseudo-plastic fluids and population mechanics. Such problems are also being used for modelling social situations (for example, models for opinion formation, mathematical finance, crowd motion) and for tasks in engineering (such as models for semiconductors, networks, and signal and image processing).