George Cooper

I am an incoming Junior Visitor (postdoc) at the Centro di Ricerca Matematica Ennio De Giorgi in Pisa, Italy.

I completed my DPhil at the Mathematical Institute in Oxford, United Kingdom under the supervision of Professors Frances Kirwan, Jason Lotay and Alex Ritter. I was also previously an undergraduate at Oxford, where I completed a Part C dissertation under the supervision of Dr Markus Upmeier and a summer research project under the supervision of Dr Thomas Oliver. I was also a counsellor for the 2018 edition of PROMYS Europe.

I am interested in moduli problems arising from algebraic geometry, and applying techniques from Geometric Invariant Theory (both reductive and non-reductive) to construct and study moduli spaces.

My current email address is . My CV can be found here.

Publications

  • Twisting Moduli for \( GL(2) \). With B. Bedert, T. Oliver and P. Zhang. Journal of Number Theory, Volume 217, pp 142-162, December 2020.
    arXiv link.

Preprints

  • Moduli Spaces of Hyperplanar Admissible Flags in Projective Space. arXiv:2304.02453.
    • This poster was presented at the ABGMS conference.
  • GIT Constructions of Compactified Universal Jacobians over Stacks of Stable Maps. arXiv:2210.11457.
    • This poster was presented at the VBAC 2022 and BrAG V conferences.

  • HT 2023: Tutor for Part B Algebraic Curves.
  • MT 2022: Tutor for Part B Geometry of Surfaces and Tutor for Part A Linear Algebra at Wadham College.
  • TT 2022: Tutor for Part A Projective Geometry at New College.
  • HT 2022: Tutor for Part B Algebraic Curves and TA for Part C Lie Groups.
  • MT 2021: Tutor for Prelims Geometry at New College and TA for Part C Algebraic Geometry.
  • TT 2021: Tutor for Part A Projective Geometry at New College.
  • HT 2021: TA for Part C Lie Groups and Part B Algebraic Curves.
  • MT 2020: Tutor for Prelims Geometry at New College.

  • Compactified Universal Jacobians over Stacks of Stable Maps via GIT, NAME OF SEMINAR, Isaac Newton Institute, January 2024.
  • Non-Reductive GIT and Moduli of Unstable Objects, Algebraic Geometry Seminar, University of Glasgow, November 2023.
  • Compactified Universal Jacobians over Stacks of Stable Maps via GIT, Algebraic Geometry Seminar, University of Liverpool, April 2023.
  • An Introduction to Non-Reductive Geometric Invariant Theory, Junior Geometry Seminar, University of Oxford, March 2023.
  • Compactified Universal Jacobians over \( \overline{\mathcal{M}}_{g,n} \) via GIT, Geometry and Analysis Seminar, University of Oxford, January 2023.
  • Compactified Universal Jacobians over \( \overline{\mathcal{M}}_{g,n} \) via GIT, CALF Seminar, University of Cambridge, November 2022.