RESEARCH
My research can be broadly split into three different themes.
The prescribed Jacobian equation

Energy minimisers with prescribed Jacobian.
With L. Koch
and S. Lindberg, (2020).
Accepted in Archive for Rational Mechanics and Analysis.

Nonlinear open mapping principles with applications to the Jacobian eq. and other scaleinvariant PDEs.
With L. Koch
and S. Lindberg, (2020).
Submitted.

The Dirichlet problem for the Jacobian equation in critical and supercritical Sobolev spaces.
With L. Koch
and S. Lindberg.
Calculus of Variations and Partial Differential Equations, 60, no. 55 (2021).
Compensated Compactness

Oscillations in wave map systems and homogenization of the Einstein equations in symmetry.
With R. Teixeira da Costa, (2021).
Submitted.

On the necessity of the constant rank condition for L^{p} estimates.
With B. Raiţă.
Comptes Rendus. Mathématique, 358, no. 910 (2020): 10911095.

Compensated Compactness: continuity in optimal weak topologies.
With B. Raiţă
and M. Schrecker, (2020).
Submitted.

Quasiconvexity, null Lagrangians, and Hardy space integrability under constant rank constraints.
With B. Raiţă, (2019).
Submitted.
Vectorial Calculus of Variations

Remarks on Ornstein's noninequality in R^{2x2}.
With D. Faraco, (2021).
The Quarterly Journal of Mathematics.

Numerical evidence towards a positive answer to Morrey's problem.
With R. Teixeira da Costa, (2020).
To appear in Revista Matemática Iberoamericana.

Extremal rankone convex integrands and a conjecture of Šverák.
Calculus of Variations and Partial Differential Equations, 58, no. 201 (2019).