Welcome to my page

My name is Pantelis Tassopoulos, and I am currently pursuing a PhD in Probability Theory at the University of Cambridge (expected completion July 2027), studying a notion of universality encompassing a large class of random growth processes in the plane, namely, KPZ universality, under the supervision of Dr Sourav Sarkar.

Particularly, one can take many discrete models (e.g. sticky tetris) and associate to them a ‘height’ function $h(t,x)$ over the real line and let it evolve in time. One can then consider rescaled height functions: $$\varepsilon h(\varepsilon^{-3} t,\varepsilon^{-2} x)-C_{\varepsilon}t$$ which are conjectured to converge a universal Markov process, namely the KPZ fixed point. This convergence has been proved for a number of models so far, and mathematicians are actively working on this.

My interests more generally are in Stochastic analysis, Stochastic Partial Differential Equations, Random Geometry and Statistical Mechanics.

Mentors: Dr. Sourav Sarkar, Professor Perla Sousi, Dr. Paul Russell, Professor Gregorios Pavliotis, Dr. Ajay Chandra, Dr. Pierre-Francois Rodriguez, Professor Igor Krasovsky and Professor Jonathan Mestel.