non-equilibrium field theories are also interesting in their own right as a mathematical machinery to solve partial differential equations (PDEs). I want to come up with a dictionary that can tell you what phase transitions and
universality mean for PDE theory, and what shock waves imply for field theoretic descriptions.
Naturally, such systems have a zoo of applications in biology, neuroscience, finance and beyond. It is exciting for me to discover the connections between theory and real world systems and I try to keep my learning curve nice and steep.
Johannes Pausch is a College Assistant Professor at St Catharine's College, Cambridge and a Teaching and Research Fellow in Mathematics. Before joining St Catharine’s, he was a Doctoral Prize Fellow at Imperial College London, where he also completed his PhD in Applied Mathematics. He holds a MASt in Physics from the University of Cambridge, a Master in Mathematics from UPMC Paris VI, and BSc.s in Physics and Mathematics from TU Berlin. He was born and raised in Dresden, Germany.
Time-dependent branching processes: a model of oscillating neuronal avalanches. with R. Garcia-Millan, G. Pruessner. Sci. Rep. 13678 (2020)
Field-theoretic approach to the universality of branching processes. with R. Garcia-Millan, B. Walter and G. Pruessner. Phys. Rev. E 98, 062107 (2018)
Is actin filament and microtubule growth reaction- or diffusion-limited? with G. Pruessner. J. Stat. Mech.: Theory Exp. 053501 (2019)