Modern mathematical physics was born from the attempts to gain mathematical understanding of quantum field theory and statistical mechanics. In those fields powerful new methods were developed around the concepts of renormalization and universality. The Helsinki Mathematical Physics Group has been in applying these ideas to a wide variety of problems including turbulence and stochastic differential equations, kinetic theory, fluctuating thermodynamics (classical and quantum), Stochastic Löwner Evolution (SLE), scaling limits of two dimensional critical lattice models and Liouville Quantum Gravity.