Alvaro Gonzalez Hernandez
Hola! I am a final year PhD student in algebraic geometry and number theory under the supervision of Professor Gavin BrownLink opens in a new window and Dr Damiano Testa.Link opens in a new window
Some of the topics that I am currently interested in are:
- K3 surfaces and their arithmetic.
- Singularities in positive characteristic.
- Generalised Kummer surfaces.
- Abelian varieties.
I studied the MSc in Mathematical Sciences at the University of Oxford and the BSc in Mathematics at the Universidad de Salamanca (Spain).
You can find more information about me on my website.
My email is :)
This is me in Kenilworth, where I live!
Preprints
- Intersections of the automorphism and the Ekedahl-Oort strata in the moduli space of genus two curves (arXivLink opens in a new window).
- Explicit desingularisation of Kummer surfaces in characteristic two via specialisation (arXivLink opens in a new window).
Selected talks (the full list is available here)
- Intersections of the automorphism and p-rank strata inside the moduli space of genus two curves. VII Congreso de Jóvenes Investigadores de la RSMELink opens in a new window, Euskal Herriko Unibertsitatea, 16th January 2025 (slides).
- Explicit construction of K3 surfaces with everywhere good reduction. Oberseminar on Arithmetische GeometrieLink opens in a new window, University of Bayreuth, 18th June 2024 (slides).
- How to desingularise Kummer surfaces. Junior Geometry SeminarLink opens in a new window, King's College London / University College London, 26th February 2024 (slides).
- Local normal forms of non-commutative potentials. RGAS School on SingularitiesLink opens in a new window, Instituto de Matemáticas de la Universidad de Sevilla, 11th January 2024 (slides).