Hola! I am a second 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. 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

2022 - 2023

• Teaching assistant for MA243 - Geometry.
• Teaching assistant for MA249 - Algebra II: Groups and Rings.
• Teaching assistant for MA448 - Hyperbolic Geometry.

2021 - 2022

• Teaching assistant for MA2K3 - Consolidation.
• Teaching assistant for MA3D5 - Galois Theory.
• Supervisor of one group of first-year undergraduate Mathematics students.

Talks

• The Eisenstein ideal. Study group on Mazur's torsion theorem, 7^th December 2022 (slidesLink opens in a new window).
• Hyperelliptic curves and their jacobians. Study group on isogeny-based cryptographyLink opens in a new window, 2^nd December 2022 (slidesLink opens in a new window).
• An introduction to Grothendieck topologies. Study group on Grothendieck topologies and descentLink opens in a new window, 13^th October 2022.
• Intersection theory on surfaces. Study group on Hasse-Weil zeta functions, 20^th May 2022 (slidesLink opens in a new window).
• Elliptic curves over discrete valuation rings. Study group on Mazur's torsion theorem, 25^th April 2022 (slidesLink opens in a new window).
• An introduction to the Hasse principle through examples. Warwick Postgraduate Seminar, 19^th January 2022 (slidesLink opens in a new window).
• Picard-Fuchs equations in families of varieties. IMUS programme PI3: Introduction to Research, Universidad de Sevilla, 7^th September 2021.

Outreach

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

Posters

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

Contact

I am the current chair of the Staff-Graduate Student Liaison CommitteeLink opens in a new window (SGSLC). I am also the co-organiser (together with Katerina Santicola) of Warwick's Mathematics Postgraduate SeminarLink opens in a new window. If you would like to give a talk in the Postgraduate Seminar or 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 :)