About me

I am a postdoc at the University of Cambridge mentored by Yang Li since September 2025. I am broadly interested in geometric analysis and geometric variational problems, in particular those at the interface with other fields like symplectic geometry and, more recently, gauge theory.

I completed my PhD in 2025 at ETH Zürich with Tristan Rivière. Previously I was a Master’s student at the University of Cambridge (Part III), and I did my Bachelor’s thesis under Javier Gómez-Serrano as a visitor in Princeton.

In my PhD I investigated the regularity theory of critical points of the area functional restricted to Lagrangian and Legendrian submanifolds, and the possible structure of their singularities.

Contact

Office E1.10
Faculty of Mathematics,
Wilberforce Road,
Cambridge CB3 0WA,
United Kingdom

Email: go262@cam.ac.uk

Teaching

In Lent term 2026 I am teaching the Part III course on Elliptic Partial Differential Equations, together with André Guerra.

Publications and preprints

• Minimizing the Gauss map area of surfaces in $\mathbb{S}^3$ (with Tristan Rivière), preprint (2025).
• Existence and partial regularity of Legendrian area-minimizing currents, preprint (2024).
• A variational construction of Hamiltonian stationary surfaces with isolated Schoen–Wolfson conical singularities (with Filippo Gaia and Tristan Rivière), Comm. Pure Appl. Math. 77 (2024), no. 12, 4390-4431.
• Any three eigenvalues do not determine a triangle (with Javier Gómez-Serrano), J. Differential Equations 275 (2021), 920-938.