I am interested in the interface between complex geometry and partial differential equations. In particular, regularity of the \overline{∂}-operator in several complex variables, and the complex Monge-Ampère equation on Kähler manifolds.
I am interested in the interface between complex geometry and partial differential equations. In particular, regularity of the \overline{∂}-operator in several complex variables, and the complex Monge-Ampère equation on Kähler manifolds.
Monge-Ampère degenerations and conifold contractions in Fujiki class C, with Guyett, R., arXiv:2610.00942
Liouville theorems and Evans-Krylov estimates, with Chen, Y., and Hein, H.J-., arXiv:2608.23772
Differential Geometry, Topology and special structures, CUNY Graduate Center (10/09/2026).
During my master's, I also wrote an essay on the regularity theory of energy-minimising maps between Riemannian manifolds. You can find my essay linked here.