Kamran Pentland is a 4th year Math student at the University of Bath. He has taken a variety of courses throughout his degree, but has specialised in more applied fields such as mathematical biology, numerical/analytical solutions to partial differential equations and probability. I undertook my placement year in the energy industry (ConocoPhillips) where I saw how the Black Scholes PDE and stochastic modelling were used to price financial derivatives.
I am currently working under the supervision of Dr. Kit Yates on a research project funded by the REP-MB (Research experience placements in Mathematical biology) funded by the BBSRC. The project that will be focused on a blending hybrid model for representing reaction-diffusion equations. This will involve developing a PDE/position-jump hybrid model where we aim to determine a region in which reactions and diffusion are implemented by both continuum and discrete models in a ‘blended’ manner.
I am interested in modelling the stochasticity of real world problems, from biological processes on a small-scale to complex climate events that are currently affecting our planet at an increasing rate. I also want to ensure that mathematics is something everybody can get involved in and also to show people how it affects everything that is and will be.