Phd Students

• Jessica Slegers, Harnack inequalities in nonlinear diffusion problems.

• Timothy Collier, Problems on the theory of nonlinear evolution equations.

Master Research Students

• Zacharia Issa , Robust Quantitative Finance and Martingale Optimal Transport.

Honours Students

• Stanley Luk , \(\Phi_4^1\), \(\Phi_4^2\), \(\Phi_4^3\) .

• Jessica Rachel Slegers , Harnack-type inequalities for nonlinear evolution equations

• Terry Shang, Optimal Transport and SDEs .

• Cheng Kevin Qu, A variational approach to the Fokker-Planck equation.
• Zacharia Issa , An optimal transport approach to the Skorrohod embedding theorem.
• Timothy Collier, A semigroup approach to the quasi-geostrophic equation.

• David Lee, A probabilistic approach to the process generated by the Dirichlet-to-Neumann operator, jointly with Prof Ben Goldys.
• Abraham Ng , Proof of the fundamental gap conjecture, jointly with A/Prof Daniel Daners.

Dalyell students (3rd year)

• Sophie Anderson, Well-posedness of a stochastic PDE governed by the \(p\)-Laplace operator, Semester 2.

• Stanley Luk, The Sewing Lemma , Semester 2.
• Sean Skinner, The Fundamental Gap conjecture for the radial Laplacian, Semester 1.

• Dibyendu Roy, Sturm-Liouville Oscillation and the fundamental gap, Semester 2.

Summer Vacation Research Project

2018-2019 : Powers of maximal monotone operators Students: William Trad and Victor Wu

2017-2018 : Fractional powers of monotone operators in Hilbert spaces. Students: Yuhan He and Dehui Liu

2016-2017 : The DeGiorgi method Student: Timothy Collier

2014-2015 : The Dirichlet-to-Neumann operator Students: David Wu, Ben Szczesny, Abraham Ng Talk in Melbourne by Abraham Ng