Research interests: Mathematical analysis of nonlinear partial differential equations (PDEs):
My research interest lies in the mathematical analysis of (both deterministic and stochastic) dispersive partial differential equations, such as Schrödinger and Korteweg-de Vries equations. In particular, I am interested in the local and global behaviour of low regularity solutions. My PhD supervisors are
Oana Pocovnicu (Heriot-Watt University) and
Tadahiro Oh (University of Edinburgh).
Papers and preprints:
Stochastic nonlinear Schrödinger equations on tori (with R. Mosincat), R. Stoch PDE: Anal Comp (2018).
Papers in preparation:
Local well-posedness of Stochastic nonlinear Schrödinger equations on \(\mathbb R^d\) with supercritical noise (with O. Pocovnicu)
Teaching:
I am a teaching assistant for the following courses:
Introductory maths (2017 Autumn)
Maths for engineers and scientists 2 (2017 Autumn)
Logic and proof (2016 Autumn)