Research interests: Analysis of PDEs and harmonic analysis
Razvan's main interests are in the analysis of Nonlinear Dispersive PDEs with a focus on Schrödinger-type equations using tools from Harmonic Analysis, Hamiltonian Systems, Statistical Mechanics, and Dynamical Systems. In the first year he pursued questions regarding the long-time behaviour of solutions (global well-posedness/finite-time blowup) of the (cubic-) derivative nonlinear Schrödinger equation in the periodic setting. Under the supervision of Dr Tadahiro Oh, he intends to continue this work and address further problems regarding the low-regularity (deterministic/probabilistic) analysis of such equations.
Razvan completed his undergraduate education in Timisoara, Romania, where he studied Computer Science and Mathematics, and his MSc in Pure Mathematics at UC San Diego. As an undergraduate, he worked on operator semigroups and asymptotic behaviour of solutions of linear evolution equations and has some experience in implementing and speeding-up algorithms for training artificial neural networks. Outside of Maths, he has a passion for photography and he is looking forward to develop it and discover the scenic spots of Scotland.