Håvard Damm-Johnsen
havard.damm-johnsen at maths.ox.ac.uk (CV, github)

• Modular algorithms for Gross-Stark units and Stark-Heegner points
  Contemp. Math., vol. 796, 2024, Amer. Math. Soc., Providence, RI, 261-284. [journal|arxiv]
  Algorithms for computing Gross-Stark units and Stark-Heegner points using overconvergent modular forms, with implementations in magma and sage.
• WCLvsSCL
  Some code for computing the probabilistic zeta function of a finite poset lattice. Includes code which disproves a conjecture in (a previous version of) arxiv:2112.13766.
• drawspec
  A simple script building on pytikz to draw the spectrum of the ring of integers in a number field. Conveniently, this also generates tikz code for use in .tex documents.

• Trinity term 2024: Study group on the work of Bergeron-Charollois-Garcia
• Trinity term 2024: Tutor in Part A: Group Theory
• Hilary term 2024: Tutor in Part C: Elliptic Curves
• 2022-2023: Michael and I ran the Oxford Junior Number Theory seminar
• Hilary term 2022: Zach and I ran a study group on automorphic representations
• Hilary term 2022: Tutor in Prelims: Linear algebra II
• Michaelmas term 2022: Tutor in Prelims: Linear algebra and Geometry
• Summer 2022: Instructor for TOPS summer school in Oxford
• Trinity term 2022: Tutor in Part A: Number theory
• Michaelmas term 2021: Tutor and TA in Part B: Galois theory
• Trinity term 2021: Andrés and I ran a seminar on étale cohomology.
• Hilary term 2021: Teaching assistant in Part C: Elliptic curves
• Hilary term 2021: Teaching assistant in Part B: Commutative Algebra
• Michaelmas term 2020: Teaching assistant in Part B: Galois theory

There is a wide variety of errors hidden in these notes; reader beware!

• The Manin-Drinfeld theorem: an essay for a Hodge theory course taught by Nils Matthes and Tiago Jardim da Fonseca during Trinity term 2021.
• Ideal lattices in cryptography: a final report from a summer research project on post-quantum cryptography.
• Kac-Moody algebras: notes from a topics course on the representation theory of Kac-Moody algebras at the University of Edinburgh, spring 2020.
• Galois theory of Schemes: my senior thesis at the University of Edinburgh, supervised by Dr. Clark Barwick.
• Theta functions: an essay I wrote for a reading course on modular forms, supervised by Prof. Chris Smyth.
• Singular Minimisers in the Calculus of Variations: the result of a summer project I did with Dr. Richard Gratwick in 2018.

• AIM workshop: Open-source cyberinfrastructure supporting mathematics research
  Pasadena, CA, US, 4-8/12/23
• 2023 FLINT development workshop
  Kaiserslautern, Germany, 9-13/10/23
• Conference for young number theorists in Bonn
  Bonn, Germany, 11-15/9/23
• Young Researchers in Algebraic Number Theory (Y-RANT) V
  Cambridge, UK, 6-8/9/23
• LMFDB, Computation, and Number Theory (LuCaNT)
  Providence, RI, US, 10-14/07/23
• PCMI summer school: Number theory informed by computation
  Park City, Utah, US, 17/07-06/08/22
• Bryan Birch birthday conference
  University of Bristol, 22/04/22 (attended virtually)
• Arizona Winter School 2022: Automorphic forms beyond GL₂
  Tucson, Arizona, 5-9/03/22
• Arithmetic and Geometry of Varieties with Trivial Canonical Bundle
  Oslo, Norway, 14-16/12/21
• Young Researchers in Algebraic Number Theory (Y-RANT) III
  University of Bristol, 18-20/08/2021 (online)
• PCMI summer school: Number theory informed by computation
  Park City Mathematical Institute, 26-30/07/2021 (online)
• Theta Series: Representation Theory, Geometry, and Arithmetic
  Fields Institute, 05-09/07/21 (online)
• New connections in number theory and physics
  Isaac Newton Institute, 24-28/05/21 (online)
• Unlikely Intersections, Diophantine geometry, and related fields
  University of Reading 12-16/04/21 (online)