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Alvaro Gonzalez Hernandez

Hola! I am a third year PhD student in algebraic geometry and number theory under the supervision of Professor Gavin BrownLink opens in a new window and Dr Damiano TestaLink 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, and how to use explicit models of Kummer varieties for studying rational points on curves. Here is my CVLink opens in a new window.

Education

I studied the MSc in Mathematical Sciences at the University of Oxford and the BSc in Mathematics at the Universidad de Salamanca (Spain). My master’s dissertation was about Local fields and the Hasse principleLink opens in a new window and was supervised by Prof. Victor FlynnLink opens in a new window. My bachelor’s degree final thesis was about Continued fractionsLink opens in a new window and was supervised by Prof. Luis M. Navas VicenteLink opens in a new window.

Teaching

2023 - 2024

  • Teaching assistant for MA397 - Consolidation.

2022 - 2023

  • Teaching assistant for MA243 - Geometry.
  • Teaching assistant for MA249 - Algebra II: Groups and Rings.
  • Teaching assistant for MA448 - Hyperbolic Geometry (kahootsLink opens in a new window).

2021 - 2022

  • Teaching assistant for MA2K3 - Consolidation.
  • Teaching assistant for MA3D5 - Galois Theory (kahootsLink opens in a new window).
  • Supervisor of one group of first-year undergraduate Mathematics students.

Talks

Research
Study groups and working seminars
Outreach
  • Kissing in the 8th dimension. XXIV National Meeting of Mathematics Students (ENEM), Universidad de Extremadura, 27th July 2023.
  • Braid theory applied to the design of friendship bracelets (workshop). XXIII National Meeting of Mathematics Students (ENEM), Universidad de Valencia, 27th July 2022.
  • Hold on tight! (Algebraic) curves are coming up! XXIII National Meeting of Mathematics Students (ENEM), Universidad de Valencia, 26th July 2022.
  • Very rational irrationals? Approximating with continued fractions. XXII National Meeting of Mathematics Students (ENEM), Universidad de Murcia, 28th July 2021.
  • Identification of symmetries and wallpaper groups in Nasrid tilings (workshop). XX National Meeting of Mathematics Students (ENEM), Universidad de Granada, 24th July 2019.

Posters

  • Presentations and 2-colourings of frieze groups. XX National Meeting of Mathematics Students (ENEM), Universidad de Granada.

Contact

I am the co-organiser (together with James Rawson and Katerina Santicola) of Warwick's Junior Number Theory SeminarLink opens in a new window. If there is anything that I can help you with, you are more than welcome to send me an email to alvaro.gonzalez-hernandez(at)warwick.ac.uk :)

It is a picture of Alvaro