Alvaro Gonzalez Hernandez

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This is me!

I am a Research Fellow at the Institute for Computational and Experimental Research in Mathematics (ICERM) at Brown University, as part of the semester on Computations on K3 Surfaces and Related Varieties.

I am interested in algebraic geometry and number theory, particularly on the following topics:

  • K3 surfaces and their arithmetic.
  • Generalised Kummer surfaces.
  • Abelian varieties.
  • Singularities in positive characteristic geometry.

If none of these words make sense to you, you can watch this three-minute talk where I explain what I do to a general audience.

I used to be a Teaching Fellow at the Mathematics Institute of the University of Warwick, where I also did my PhD under the supervision of Dr Damiano Testa and Professor Gavin Brown. I studied the MSc in Mathematical Sciences at the University of Oxford and the BSc in Mathematics at the Universidad de Salamanca (Spain). I also spent a year at the University of Edinburgh as an exchange student during my undergraduate degree.

My surname is Gonzalez Hernandez (yes, both words are my surname!) but I publish as Gonzalez-Hernandez for convenience.

Outside of mathematics, I enjoy graphic design, cooking, and doing yoga and Brazilian jiu-jitsu.

news

Sep 15, 2026 I gave a talk on the conference Arithmetic, Geometry and Computations on K3 surfaces at ICERM.
Aug 25, 2026 My new paper The classification of generalised Kummer surfaces in positive characteristic is out on arXiv!
Jul 29, 2026 I gave a talk about how to give a talk as part of the Summer Undergraduate Mathematics Research programme.
Jul 06, 2026 I have become a Fellow of the Higher Education Academy.
Jun 25, 2026 My friend Claudia won an Above & Beyond Award!