Professor of Mathematics at Aalto University
My research area is mathematical analysis, more precisely, theoretical aspects of nonlinear partial differential equations. The main focus is on regularity theory for a wide class of singular and degenerate elliptic and parabolic equations. These equations are connected to many different applications, such as diffusion in highly nonhomogeneous media and the motions of multiphased fluids in porous media. Methods from harmonic analysis are applied extensively and the research is also conducted in nonsmooth contexts, ultimately in metric measure spaces.
Beijing Normal University (2023) - Institut Mittag-Leffler (Djursholm 2022) - Nonlinear Analysis, Function Spaces and Applications (Prague 2022) - School on Nonlinear PDEs (Warsaw 2022) - Okinawa Institute of Science and Technology (2022) - Advances in Evolution Equations and Applications (Pavia 2021) - Swedish Summer PDEs (KTH 2019) - Nonlinear Averaging and PDEs (Levico Terme 2019) - Partial Differential Equations in Analysis and Mathematical Physics (Cagliari 2019) - Xi’an Jiaotong University (2018) - Research Term on Real Harmonic Analysis and its Applications to Partial Differential Equations and Geometric Measure Theory (ICMAT 2018)