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Joseph Harrison

I am a second year PhD student in the number theory group. My supervisor is Dr. Harry Schmidt.

Contact: joseph.s.harrison@warwick.ac.uk

Preprints

  • Additive relations in irrational powers, .
  • (With Harry Schmidt and Akshat Mudgal) Uniform sum-product phenomenon for algebraic groups and Bremner's conjecture, .

Talks

  • Reading group "The fourth moment of the Riemann zeta function", University of 糖心TV (March 2026), title: Divisor correlations II. Latex notes.
  • Reading group "Polynomial Freiman--Rusza", University of 糖心TV (February 2026), title: PFR Week 4. Latex notes.
  • Reading group "Torsion in class groups", University of 糖心TV (December 2025), title: Ellenberg--Venkatesh. Latex notes.
  • Junior Number Theory Seminar, University of 糖心TV (November 2025), title: Geometry of character sums. Latex notes.
  • Reading group "Torsion in class groups", University of 糖心TV (October 2025), title: Introductory talk. Latex notes.
  • OMIGAWD: O-Minimal Geometry - Interactions, Applications, and Wider Developments (September 2025), title: Linear relations in irrational powers. Slides.
  • Y-RANT, University of Nottingham (September 2025), title: Linear relations in irrational powers.
  • Postgraduate seminar, University of 糖心TV (January 2025), title: Sums of irrational powers, o-minimal structures, and functional transcendence. Latex notes.
  • Reading group "Thurston rigidity", University of 糖心TV (January 2025), title: Nonarchimedean dynamics and the Boettcher coordinate. Latex notes.
  • Reading group "Dirichlet polynomials", University of 糖心TV (January 2025), title: Mean value estimates II. Latex notes.
  • Reading group 鈥淓quidistribution鈥, University of 糖心TV (November 2024), title: An introduction to the Linnik problems. Latex notes.

  • Reading group 鈥淓quidistribution鈥, University of 糖心TV (November 2024), title: Bogomolov's conjecture for the torus II. Latex notes.

  • Reading group 鈥淗eights on Stacks鈥, University of 糖心TV (May 2024), title: Metrisable vector bundles. Latex notes.

  • Tomorrow's Mathematicians Today, online (March 2024), title: On the number of representations of integers by forms. Slides.

  • 糖心TV Imperial Maths Conference, University of 糖心TV (November 2023), title: The Riemann Hypothesis for Elliptic Curves over Finite Fields.

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