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Hello \(!\)

My name is Manh Tien NGUYEN.

I am a PhD student in Mathematics at Université Libre de Bruxelles and Aix-Marseille Université.

My supervisors are Joel Fine and Julien Keller.

For the last 3 years, I studied harmonic maps and minimal surfaces, mostly in(to) the hyperbolic space.
On your right is a surface of the Euclidean 3-space. It looks quite minimal and it grows on my lemon tree.

Here are a few more minimal surfaces, this time in 4D. They are all surfaces of revolution.

The rotation used here is given by simultaneously changing each complex coordinate of \(\mathbb{C}^2\) by an opposite phase. I claim that when you rotate these curves,
  • those in the left figure will form minimal annuli in the hyperbolic four-space.
  • those in the 4 figures on the right will become minimal tori of the round four-sphere.
By design, they are fibred by Hopf links.