Mathematical modeling and simulation: fluid flow through poroelastic media, ocean and atmosphere dynamics, sea ice floe dynamics. 

Scientific computing and numerical analysis: parallel computing, preconditioners, post-processing, PDE numerical solvers such as FDM, FVM, FEM, IGA, DG, HHO, Runge--Kutta methods, and generalized-alpha methods, operator splitting schemes, dispersion and spectral analysis, a priori and a posteriori error analysis.

Uncertainty quantification and data assimilation: stochastic models, Kalman filters, Ornstein-Uhlenbeck process.

Quanling Deng was born in Hunan, China. He moved to the USA to study mathematics in August 2011 and graduated with a Ph.D. in mathematics at the University of Wyoming in May 2016. In October 2016, he joined Curtin University as a research associate at the Department of Applied Geology. He became an affiliated member of Curtin Institute for Computation and Curtin TIGeR. He was a visiting scholar at INRIA (Paris France, 5-6/2019), AGH University of Science and Technology (Krakow Poland, 6-7/2018, 5/2019), École des Ponts ParisTech (ENPC, Paris France, 5-6/2017), and others. He joined the Department of Mathematics at the University of Wisconsin-Madison as a Van Vleck visiting assistant professor on March 12, 2020. In Feburary 2022, he joined the School of Computing as a Lecturer at the Australian National University.