Welcome to my personal webpage!

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 over the real line and let it evolve in time. One can then consider rescaled height functions
(with scaling \(\varepsilon h(\varepsilon^{-3} t,\varepsilon^{-2} x)-C_{\varepsilon}t\) where \(h(t,x)\) is the original height function, i.e. zooming out as \(\varepsilon\to 0\)) which are conjectured to converge a universal Markov process, namely the KPZ fixed point. This convergence has been proved for a limited number of models so far, (sticky tetris not being one of them!) and mathematicians are actively working on this.

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

Mentors that have guided me through my academic journey so far inlude: Dr. Sourav Sarkar, Dr. Paul Russell, Professor Perla Sousi, Professor Gregorios Pavliotis, Dr. Ajay Chandra, Sr. Pierre-Francois Rodriguez, Professor Igor Krasovsky and Professor Jonathan Mestel.